The Dynamics of General Relativity

Abstract

This article--summarizing the authors' then novel formulation of General Relativity--appeared as Chapter 7 of an often cited compendium edited by L. Witten in 1962, which is now long out of print. Intentionally unretouched, this posting is intended to provide contemporary accessibility to the flavor of the original ideas. Some typographical corrections have been made: footnote and page numbering have changed--but not section nor equation numbering etc. The authors' current institutional affiliations are encoded in: [email protected], [email protected], [email protected] .

30 pages (LaTeX2e), uses amsfonts, no figures

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• Elimination of the spin supplementary condition in the effective field theory approach to the post-Newtonian approximation
• Dark energy survivals in massive gravity after GW170817: SO(3) invariant
• Non-Gaussianity from Axion Monodromy Inflation
• Metric dimensional reduction at singularities with implications to Quantum Gravity
• Quantum Reference Frames at the Boundary of Spacetime
• ADM-like Hamiltonian formulation of gravity in the teleparallel geometry
• Asymptotic Symmetries from finite boxes
• Gauss collocation methods for efficient structure preserving integration of post-Newtonian equations of motion
• The Mechanics of Spacetime - A Solid Mechanics Perspective on the Theory of General Relativity
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• Structure of neutron stars in massive scalar-tensor gravity
• Stochastic Inflation in General Relativity
• Bigravity in Kuchar's Hamiltonian formalism. 1. The general case
• The symplectic 2-form for gravity in terms of free null initial data
• Higher derivatives and power spectrum in effective single field inflation
• The Census Taker's Hat
• Effective gravitational interactions of dark matter axions
• Superradiance in dispersive black hole analogues
• Non-Unitarity Problem in Quantum Gravity Corrections to Quantum Field Theory with Born-Oppenheimer Approximation
• The Constraint Equations
• A Rotating Black Hole Solution for Shape Dynamics
• Gravitational waves in dynamical spacetimes with matter content in the Fully Constrained Formulation
• Dimensional reduction in numerical relativity: Modified cartoon formalism and regularization
• Quasi-local masses and cosmological coupling of black holes and mimickers
• Coordinate singularities of self-interacting vector field theories
• Relativistic Lagrangian displacement field and tensor perturbations
• Modified-gravity theories with nondynamical background fields
• Foliation, jet bundle and quantization of Einstein gravity
• Noether and Abbott-Deser-Tekin conserved quantities in scalar-tensor theory of gravity both in Jordan and Einstein frames
• Analyzing Gravitational Waves with General Relativity
• General relativistic effects on non-linear power spectra
• Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis
• Cosmological constraints and phenomenology of a beyond-Horndeski model
• Canonical formulation and conserved charges of double field theory
• One-loop renormalization of a gravity-scalar system
• Explicit partial and functional differential equations for beables or observables
• Geometric inequalities for black holes
• Bispectrum from open inflation
• Initial data for general relativistic simulations of multiple electrically charged black holes with linear and angular momenta
• Higher-dimensional puncture initial data
• A Local Resolution of the Problem of Time
• More on "Little Lambda" in Hořava-Lifshitz Gravity
• New Loop Quantum Cosmology Modifications from Gauge-covariant Fluxes
• Horizon energy as the boost boundary term in general relativity and loop gravity
• Origin of the quantum group symmetry in 3d quantum gravity
• Non-covariance of "covariant polymerization" in models of loop quantum gravity
• Post-Newtonian Freely Specifiable Initial Data for Binary Black Holes in Numerical Relativity
• On the vacuum Einstein equations along curves with a discrete local rotational and reflection symmetry
• Local non-Gaussianity from rapidly varying sound speeds
• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
• Is limiting curvature mimetic gravity an effective polymer quantum gravity?
• A Survey of Black Hole Thermodynamics
• Empirical Equivalence, Artificial Gauge Freedom and a Generalized Kretschmann Objection
• Loss of locality in gravitational correlators with a large number of insertions
• Dynamical evolution of scalar perturbation in Hořava-Lifshitz black-hole spacetimes
• The Smallest Shape Spaces. I. Shape Theory Posed, with Example of 3 Points on the Line
• A condensed matter interpretation of SM fermions and gauge fields
• On the Origin of Gravitational Lorentz Covariance
• Boundary Terms Unbound! Holographic Renormalization of Asymptotically Linear Dilaton Gravity
• Hamiltonian group field theory with multiple scalar matter fields
• Analytical approximations for curved primordial power spectra
• Discrete and Continuum Quantum Gravity
• Resonant particle production during inflation: a full analytical study
• Spectrum of Cuscuton Bounce
• Emergence of time
• Quantum gravity corrections to the matter dynamics in the presence of a reference fluid
• Conformal Hamiltonian Dynamics of General Relativity
• On the UV dimensions of Loop Quantum Gravity
• Hamiltonian analysis of non-projectable modified F(R) Hořava-Lifshitz gravity
• Quantization of the Horava theory at the kinetic-conformal point
• Reassessing the problem of time of quantum gravity
• A New Test of Dynamical Dark Energy Models and Cosmic Tensions in Hořava Gravity
• Electromagnetic instability of compact axion stars
• Gravitational waves from fermion production during axion inflation
• Asymptotic structure of the Einstein-Maxwell theory on AdS${}_3$
• Explicit spacetime-symmetry breaking and the dynamics of primordial fields
• Quantum to classical transition in the Hořava-Lifshitz quantum cosmology
• Dynamics of a self-gravitating shell of matter
• TASI Lectures on Primordial Cosmology
• Hamiltonian surface charges using external sources
• Noether Current, Black Hole Entropy and Spacetime Torsion
• Deformed symmetries in noncommutative and multifractional spacetimes
• Time asymmetric extensions of general relativity
• Canonical invariance of spatially covariant scalar-tensor theory
• General relativity in the radial gauge: Reduced phase space and canonical structure
• Wheeler-DeWitt Equation in 3 + 1 Dimensions
• Conserved charges, surface degrees of freedom, and black hole entropy
• The gravitational field of a star in quadratic gravity
• Conserved quantities and Virasoro algebra in New massive gravity
• Shape dynamics and Mach's principles: Gravity from conformal geometrodynamics
• Timelike BKL singularities and chaos in AdS/CFT
• Sources of Stellar Energy, Einstein- Eddington Timescale of Gravitational Contraction and Eternally Collapsing Objects
• Cutoff for Extensions of Massive Gravity and Bi-Gravity
• Fermionic Isocurvature Perturbations
• QFT in Curved Spacetime from Quantum Gravity: proper WKB decomposition of the gravitational component
• Chern-Simons Modified General Relativity: Conserved charges
• Thermodynamic and classical instability of AdS black holes in fourth-order gravity
• Static spacetimes haunted by a phantom scalar field III: asymptotically (A)dS solutions
• Constraining the loop quantum gravity parameter space from phenomenology
• Pregeometric First Order Yang-Mills Theory
• Stability of Horava-Lifshitz Black Holes in the Context of AdS/CFT
• Geodesic "curve"-of-sight formulae for the cosmic microwave background: a unified treatment of redshift, time delay, and lensing
• Formation and decay of Einstein-Yang-Mills black holes
• n-DBI gravity
• Configuration Spaces in Fundamental Physics
• Non-perturbative analysis of the constraints and the positivity of the energy of the complete Horava theory
• Quasilocal Center-of-Mass for Teleparallel Gravity
• Bubbling AdS Black Holes
• Stability of the puncture method with a generalized BSSN formulation
• Exact dynamical AdS black holes and wormholes with a Klein-Gordon field
• TRiPoD (Temporal Relationalism incorporating Principles of Dynamics)
• Nonderivative Modified Gravity: a Classification
• On asymptotic charges in 3D gravity
• Energy-Momentum Squared Gravity: A Brief Overview
• Emergent modified gravity: The perfect fluid and gravitational collapse
• Toward General-Relativistic Magnetohydrodynamics Simulations in Stationary Non-Vacuum Spacetimes
• Quantum-spacetime effects on nonrelativistic Schrödinger evolution
• On the role of constraints and degrees of freedom in the Hamiltonian formalism
• Loop quantum gravity, signature change, and the no-boundary proposal
• $\mathcal{N}=2$ AdS${}_4$ supergravity, holography and Ward identities
• Hamiltonian theory of classical and quantum gauge invariant perturbations in Bianchi I spacetimes
• Quantum Penrose Inequality
• New approach to conserved charges of generic gravity in AdS
• Removing Ostrogradski ghost from degenerate gravity theories
• The ${\Lambda }_2$ limit of massive gravity
• Effective constraint algebras with structure functions
• Quantization of gravity through hypersurface foliation
• Traversable wormholes without exotic matter in multimetric repulsive gravity
• Hamiltonian Formalism of Bimetric Gravity In Vierbein Formulation
• Stability of Horava-Witten Spacetimes
• Improved Wald formalism and First Law of Dyonic Black Strings with Mixed Chern-Simons Terms
• Lorentz-diffeomorphism Conserved Charges And Virasoro Algebra In Chern-Simons-Like Theories Of Gravity
• Rational Wavefunctions in de Sitter Spacetime
• Singular Lagrangians, Constrained Hamiltonian Systems and Gauge Invariance: An Example of the Dirac-Bergmann Algorithm
• Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity
• General Covariance from the Quantum Renormalization Group
• Lorentzian path integral for quantum tunneling and WKB approximation for wave-function
• Quantum Information Bound on the Energy
• Numerical evaluation of inflationary 3-point functions on curved field space
• Towards a viable effective field theory of mimetic gravity
• The approach to gravity as a theory of embedded surface
• Spontaneously broken Lorentz symmetry for Hamiltonian gravity
• Polycritical Gravities
• Boundary dynamics in gravitational theories
• On Hamiltonian formulation of the Einstein-Hilbert action in two dimensions
• A minimization problem for the lapse and the initial-boundary value problem for Einstein's field equations
• Stability, Instability, Canonical Energy and Charged Black Holes
• \bf $\delta M$ Formalism: A New Approach to Cosmological Perturbation Theory in Anisotropic Inflation
• The Hamiltonian of Einstein affine-metric formulation of General Relativity
• Higher dimensional Numerical Relativity: code comparison
• Exact non-linear equations for cosmological perturbations
• Covariant canonical formulations of classical field theories
• Gravitational dynamics for all tensorial spacetimes carrying predictive, interpretable and quantizable matter
• Conserved charges in AdS: A new formula
• Smooth cosmological phase transition in the Horava-Lifshitz gravity
• Cutting out the cosmological middle man: General Relativity in the light-cone coordinates
• Relativistic Extended Uncertainty Principle from Spacetime Curvature
• Massive gravity and the suppression of anisotropies and gravitational waves in a matter-dominated contracting universe
• Generalised matter couplings in massive bigravity
• Cosmological Perturbations in the Projectable Version of Horava-Lifshitz Gravity
• Canonical analysis of $n$-dimensional Palatini action without second-class constraints
• Rainbow-like Black Hole metric from Loop Quantum Gravity
• Reduced Massive Gravity with Two Stückelberg Fields
• Gauge Fixing and the Semiclassical Interpretation of Quantum Cosmology
• Entropy of a box of gas in an external gravitational field $-$ revisited
• Path integral for multi-field inflation
• Traversable wormhole in the deformed Hořava-Lifshitz gravity
• Effective Minkowski to Euclidean signature change of the magnon BEC pseudo-Goldstone mode in polar 3He
• Symmetries and Charges in Weyl-Fefferman-Graham Gauge
• Linearized gravity with matter time
• Quantization of the nonprojectable 2+1D Horava theory: The second-class constraints
• Localized Energetics of Linear Gravity: Theoretical Development
• Covariant Equations of Motion of Extended Bodies with Arbitrary Mass and Spin Multipoles
• Holography as a highly efficient RG flow I: Rephrasing gravity
• Spectra, vacua and the unitarity of Lovelock gravity in D-dimensional AdS spacetimes
• Parameterised post-Newtonian formalism for the effective field theory of dark energy via screened reconstructed Horndeski theories
• Spin gauge symmetry in the action principle for classical relativistic particles
• The Wald entropy formula and loop quantum gravity
• DeWitt boundary condition is consistent in Hořava-Lifshitz quantum gravity
• Scalar curvature operator for models of loop quantum gravity on a cubical graph
• Shape Theory. III. Comparative Theory of Backgound Independence
• Conformal Properties of Charges in Scalar-Tensor Gravities
• Quantum Geometry and its Implications for Black Holes
• Gravitation as a Plastic Distortion of the Lorentz Vacuum
• Gravity from the extension of spatial diffeomorphisms
• Mixmaster universe in the z=3 deformed Hořava-Lifshitz gravity
• Finite Action Principle and Horava-Lifshitz Gravity: early universe, black holes and wormholes
• Primordial non-Gaussianities from inflation
• A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time
• Hamiltonian Analysis of 1+1 dimensional Massive Gravity
• Equation of motion of canonical tensor model and Hamilton-Jacobi equation of general relativity
• Differential geometry, Palatini gravity and reduction
• Black Holes, Information Loss and the Measurement Problem
• Cosmological Particle Production and Pairwise Hotspots on the CMB
• Revisiting relativistic magnetohydrodynamics from quantum electrodynamics
• Does charge matter in high-energy collisions of black holes?
• GRMHD study of accreting massive black hole binaries in astrophysical environment: a review
• Unified Treatment of null and Spatial Infinity IV: Angular Momentum at Null and Spatial Infinity
• Canonical analysis of Holst action without second-class constraints
• Magnon Inflation: Slow Roll with Steep Potentials
• A Numerical Study of Relativistic Fluid Collapse
• Quantum no-singularity theorem from geometric flows
• The Weiss Variation of the Gravitational Action
• A Note on Conserved Charges of Asymptotically Flat and Anti-de Sitter Spaces in Arbitrary Dimensions
• Emergent symmetries in the canonical tensor model
• Some physical implications of regularization ambiguities in SU(2) gauge-invariant loop quantum cosmology
• Neutron star g-modes in the relativistic Cowling approximation
• Mixed Graviton and Scalar Bispectra in the EFT of Inflation: Soft Limits and Boostless Bootstrap
• A Local Resolution of the Problem of Time. III. The other classical facets piecemeal
• A Local Resolution of the Problem of Time. II. Configurational Relationalism via a generalization of Group Averaging
• On the global temperature of the Schwarzschild-de Sitter spacetime
• Cosmology using numerical relativity
• Kendall's Shape Statistics as a Classical Realization of Barbour-type Timeless Records Theory approach to Quantum Gravity
• EFT of Interacting Spin-2 Fields
• A Faddeev-Niemi Solution that Does Not Satisfy Gauss' Law
• Entropy in general relativity: Kerr-AdS black hole
• Connecting Holographic Wess--Zumino Consistency Conditions to the Holographic Anomaly
• Phase transitions of the BTZ black hole in new massive gravity
• Constraining modified gravity theories with scalar fields using black-hole images
• Solving the Einstein constraint equations on multi-block triangulations using finite element methods
• A Local Resolution of the Problem of Time. I. Introduction and Temporal Relationalism
• Caustic singularity in Ho$\check{\text{r}}$ava-Lifshitz gravity
• (3+1)-Formulation for Gravity with Torsion and Non-Metricity: The Stress-Energy-Momentum Equation
• Holographic RG flows, entanglement entropy and the sum rule
• Emergent Modified Gravity
• Hořava-Lifshitz cosmological models in noncommutative space-times
• On the Various Extensions of the BMS Group
• A Local Resolution of the Problem of Time. IV. Quantum outline and piecemeal Conclusion
• Hamiltonian Formalism of General Bimetric Gravity
• The Geometry of Black Hole singularities
• Consistency relations in multi-field inflation
• Basic Gravitational Currents and Killing-Yano Forms
• Can TeVeS be a viable theory of gravity?
• How Do Axisymmetric Black Holes Grow Monopole and Dipole Hair?
• Holographic Two-Point Functions in Conformal Gravity
• Is Bimetric Gravity Really Ghost Free?
• Origin of Structure in the Universe: Quantum Cosmology Reconsidered
• Eisenhart lift of Koopman-von Neumann mechanics
• A quantum gravity extension to the Mixmaster dynamics
• The gravitational Hamiltonian, first order action, Poincaré charges and surface terms
• Decoherence of Cosmological Perturbations from Boundary Terms and the Non-Classicality of Gravity
• Eicheons instead of Black holes
• On the Positive Mass, Penrose, an ZAS Inequalities in General Dimension
• Characteristic Formulation for Metric $f(R)$ Gravity
• State refinements and coarse graining in a full theory embedding of loop quantum cosmology
• Can Hamiltonians be boundary observables in Parametrized Field Theories?
• Non-Gaussianities in a two-field generalization of Natural Inflation
• A Local Resolution of the Problem of Time. V. Combining Temporal and Configurational Relationalism for Finite Theories
• A Local Resolution of the Problem of Time. IX. Spacetime Constructability
• Canonical charges and asymptotic symmetry algebra of conformal gravity
• DeWitt wave function in Hořava-Lifshitz cosmology with tensor perturbation
• A joint approach for reducing eccentricity and spurious gravitational radiation in binary black hole initial data construction
• A gravitationally induced decoherence model using Ashtekar variables
• Is "Dark Energy" a Quantum Vacuum Energy?
• 3+1 decomposition in modified gravities within the Palatini formalism and some applications
• Causal propagation of constraints in bimetric relativity in standard 3+1 form
• Primordial power spectra from $k$-inflation with curvature
• Cosmology in Painleve-Gullstrand coordinates
• Dimensionless physics: continuation
• The dynamics of the early universe in a model with radiation and a generalized Chaplygin gas
• Non-Projectable Horava-Lifshitz Gravity without Unwanted Scalar Graviton
• The Energy-Momentum Tensor in General Relativity and in Alternative Theories of Gravitation, and the Gravitational vs. Inertial Mass
• AdS${}_5$-Schwarzschild deformed black branes and hydrodynamic transport coefficients
• Mass of compact stars in f(T) gravity
• Towards a novel wave-extraction method for numerical relativity
• A random matrix model with non-pairwise contracted indices
• Probabilistic interpretation of the wave function for the Bianchi I model
• Thermodynamics of Black Holes with Rényi Entropy from Classical Gravity
• Spaces of Observables from Solving PDEs. I. Translation-Invariant Theory
• Axisymmetric Numerical Relativity
• On Gravitational Energy in Conformal Teleparallel Gravity
• General formulas for conserved charges and black hole entropy in Chern-Simons-like theories of gravity
• The Big Bang quantum cosmology: The matter-energy production epoch
• Near horizon gravitational charges
• Introduction to Hamiltonian Formulation of General Relativity and Homogeneous Cosmologies
• A spectral method algorithm for numerical simulations of gravitational fields
• A formalism for the calculus of variations with spinors
• Quantum evolution of the Hawking state for black holes
• Lifshitz-scaling to Lorentz-violating high derivative operator and gamma-ray busts
• Hamiltonian analysis of General Relativity and extended gravity from the iterative Faddeev-Jackiw symplectic approach
• Positivity bounds on reconstructed Horndeski models
• Energy Balance of a Bose Gas in Curved Spacetime
• 100 years of mathematical cosmology: Models, theories, and problems
• The Bartnik-Bray outer mass of small metric spheres in time-symmetric 3-slices
• Entropic formulation of relativistic continuum mechanics
• Cosmological applications of the Brown-York quasilocal mass
• Thermodynamically stable asymptotically flat hairy black holes with a dilaton potential: the general case
• Mixed non-Gaussianity in multiple-DBI inflation
• Linearization Instability for Generic Gravity in AdS
• Schrödinger evolution of the Hawking state
• The Geometrical Origin of Dark Energy
• Quasi-Local Energy of a Charged Rotating Object Described by the Kerr-Newman Metric
• Foliation-based quantization and black hole information
• Hamiltonian formalism and gauge-fixing conditions for cosmological perturbation theory
• Post-Newtonian cosmological dynamics of plane-parallel perturbations and back-reaction
• Pure electromagnetic-gravitational interaction in Hořava-Lifshitz theory at the kinetic conformal point
• Poincare, Relativity, Billiards and Symmetry
• Quadratic Isocurvature Cross-Correlation, Ward Identity, and Dark Matter
• Initial Conditions for Numerical Relativity -- Introduction to numerical methods for solving elliptic PDEs
• Constraint characterization and degree of freedom counting in Lagrangian field theory
• Variables suitable for constructing quantum states for the Teleparallel Equivalent of General Relativity II
• Brane Induced Gravity: From a No-Go to a No-Ghost Theorem
• Configuration space for quantum gravity in a locally regularized path integral
• Geometry from Brackets Consistency
• The Phantom of the New Oscillatory Cosmological Phase
• Kerr-NUT-de Sitter as an Inhomogeneous Non-Singular Bouncing Cosmology
• Combing gravitational hair in 2+1 dimensions
• Constant Velocity Physical Warp Drive Solution
• Holography of information in massive gravity using Dirac brackets
• Hamilton's equations in the covariant teleparallel equivalent of general relativity
• Skyrme Branes
• Bianchi IX gravitational collapse of matter inhomogeneities
• A Local Resolution of the Problem of Time. VII. Constraint Closure
• Lorentz-Violating Massive Gravity in Curved Space
• Klein-Gordon-Wheeler-DeWitt-Schroedinger Equation
• Iwasawa N=8 Attractors
• Chaos, Dirac observables and constraint quantization
• Holographic Trace Anomaly and Local Renormalization Group
• IR Horava-Lifshitz gravity coupled to Lorentz violating matter: A spectral action approach
• Resurgence in Lorentzian quantum cosmology: No-boundary saddles and resummation of quantum gravity corrections around tunneling saddle points
• Exact Analytic Solution for Non-Linear Density Fluctuation in a LCDM Universe
• Singular General Relativity
• Special Vinberg Cones and the Entropy of BPS Extremal Black Holes
• Einstein-Yang-Mills Theory: Gauge Invariant Charges and Linearization Instability
• Time Orientability and Particle Production from Universal Horizons
• Inside charged black holes I. Baryons
• Local Continuity of Angular Momentum and Noether Charge for Matter in General Relativity
• Painleve-Gullstrand coordinates for Schwarzschild-de Sitter spacetime
• Perturbative quantum evolution of the gravitational state and dressing in general backgrounds
• A 3+1 formulation of the 1/c expansion of General Relativity
• Analytic Keplerian-type parametrization for general spinning compact binaries with the leading order spin-orbit interaction
• Spherical dust collapse in bimetric relativity: Bimetric polytropes
• $\mathtt{bimEX}$: A Mathematica package for exact computations in $3+1$ bimetric relativity
• On the ratio of lapses in bimetric relativity
• New bound of the mass-to-radius ratio for electrically charged stars
• n-dimensional non-commutative GUP quantization and application to the Bianchi I model
• Phenomenological model of gravitational self-force enhanced tides in inspiralling binary neutron stars
• - Gravitational Waves - A Review on the Conceptual Foundations of Gravitational Radiation
• Extending general covariance: Moyal-type noncommutative manifolds
• On the relation between reduced quantisation and quantum reduction for spherical symmetry in loop quantum gravity
• The Cosmological Slavnov-Taylor Identity from BRST Symmetry in Single-Field Inflation
• Fully general relativistic simulations of rapidly rotating quark stars: Oscillation modes and universal relations
• Cosmology in time asymmetric extensions of general relativity
• Quantization of Gravity in the Black Hole Background
• Energy in first order 2+1 gravity
• Principles of Quantum Universe
• Semiclassical and quantum behavior of the Mixmaster model in the polymer approach
• Dark Energy Gravitational Wave Observations and Ice Age Periodicity
• Energy in higher-dimensional spacetimes
• Hamiltonian Formalism of Particular Bimetric Gravity Model
• On the scalar graviton in n-DBI gravity
• A gradient expansion for cosmological backreaction
• Supertranslations and Holographic Stress Tensor
• The decay of hot KK space
• Bigravity in tetrad Hamiltonian formalism and matter couplings
• A Discrete Representation of Einstein's Geometric Theory of Gravitation: The Fundamental Role of Dual Tessellations in Regge Calculus
• Schrödinger evolution of two-dimensional black holes
• The cosmological constant as a boundary term
• Foliation-based approach to quantum gravity and applications to astrophysics
• Generalized unimodular gravity as a form of k-essence
• Non-stationary Energy in General Relativity
• Linearization Instability of Chiral Gravity
• A Model for Cosmic Self-Acceleration
• Infinite-redshift localized states of Dirac fermions under Einsteinian gravity
• Divergence equations and uniqueness theorem of static black holes
• Second Order Perturbation Theory in General Relativity: Taub Charges as Integral Constraints
• Relativistic gas accretion onto supermassive black Hole binaries from inspiral through merger
• The Hamiltonian Dynamics of Horava Gravity
• Hamiltonian Formalism for Nonlocal Gravity Models
• Supertranslations at Timelike Infinity
• Quantum reduced loop gravity: extension to scalar field
• Bondian frames to couple matter with radiation
• Kac-Moody Algebras in M-theory
• A Numerical Study of Boson Star Binaries
• Gauge Invariant Derivation of Zeroth and First Laws of Black Hole Thermodynamics
• Arnowitt-Deser-Misner representation and Hamiltonian analysis of covariant renormalizable gravity
• The Gross-Pitaevskii equations of a static and spherically symmetric condensate of gravitons
• Eliminating infrared divergences in an inflationary cosmology
• BRST symmetry for Regge-Teitelboim based minisuperspace models
• Notes on massless scalar field partition functions, modular invariance and Eisenstein series
• Quantum-mechanical description of Lense-Thirring effect for relativistic scalar particles
• A 4+1 Formalism for the Evolving Stueckelberg-Horwitz-Piron Metric
• Cosmological models with asymmetric quantum bounces
• Canonical linearized Regge Calculus: counting lattice gravitons with Pachner moves
• Knot theory and a physical state of quantum gravity
• Relaxation of first-class constraints and the quantization of gauge theories: from "matter without matter" to the reappearance of time in quantum gravity
• Tests of Standard Cosmology in Horava Gravity and Bayesian Evidence for a Closed Universe, and the Hubble Tension
• Energy Conditions in Gauss-Bonnet Gravity
• How Special Relativity Determines the Signs of the Nonrelativistic, Coulomb and Newtonian, Forces
• Bondi-Sachs Energy-Momentum for the CMC Initial Value Problem
• Gravitational charges of transverse asymptotically AdS spacetimes
• Non-linear matter bispectrum in general relativity
• Reduction of gravity-matter and dS gravity to hypersurface
• Aether scalar tensor theory: Hamiltonian Formalism
• Quantization of 2D Hořava gravity: non-projectable case
• Hamiltonian formalism of Minimal Massive Gravity
• Higher-spin charges in Hamiltonian form. I. Bose fields
• In Search of Quantum de Sitter Space: Generalizing the Kodama State
• (3+1)-Formulation for Gravity with Torsion and Non-Metricity II: The Hypermomentum Equation
• Unified formalism for Palatini gravity
• Definition of a time variable with Entropy of a perfect fluid in Canonical Quantum Gravity
• Shielding linearised gravity
• Localisation of Soft Charges, and Thermodynamics of Softly Hairy Black Holes
• Classical Simulations of Quantum Field Theory in Curved Spacetime I: Fermionic Hawking-Hartle Vacua from a Staggered Lattice Scheme
• Entanglement masquerading in the CMB
• Hamiltonian Analysis for Infinite Derivative Field Theories and Gravity
• Holography for a Non-Inflationary Early Universe
• Positive mass theorem in extended supergravities
• Understanding the holographic principle via RG flow
• On the Hyperbolicity and Stability of $3+1$ Formulations of Metric $f(R)$ Gravity
• Waveforms from Amplitudes
• Charges for linearized gravity
• Problem of Time: Facets and Machian Strategy
• Exploring pathways to forming twin stars
• Eternal inflation in light of Wheeler-DeWitt equation
• Canonical Structure of Field Theories with Boundaries and Applications to Gauge Theories
• On Gravitational Entropy of de Sitter Universe
• High-frequency solutions to the constraint equations
• Scalar induced gravitational waves review
• Multi-field Cuscuton Cosmology
• Multi-field Mimetic Gravity
• Codimension-2 Solutions in Five-Dimensional Supergravity
• A new line element derived from the variable rest mass in gravitational field
• 4D covariance of holographic quantization of Einstein gravity
• Galaxy rotation curve in hyperconical universes: a natural relativistic MOND
• Painleve-Gullstrand coordinates versus Kerr spacetime geometry
• Vacuum polarization instead of "dark matter" in a galaxy
• Conformally Coupled General Relativity
• Modifications to Gravitational Wave Equation from Canonical Quantum Gravity
• Massive gravity, canonical structure and gauge symmetry
• Gravitational collapse of thin shells of dust in asymptotically flat Shape Dynamics
• Re-formulating the Einstein equations for stable numerical simulations: Formulation Problem in Numerical Relativity
• Dwarf Galaxies without Dark Matter: constraints on Modified Gravity
• Covariant Momentum Map Thermodynamics for Parametrized Field Theories
• Lorentz Invariance in Shape Dynamics
• Towards general relativity through parametrized theories
• Can Quantum Particles Cross a Horizon?
• Quasi-local conserved charges in Lorentz-diffeomorphism covariant theory of gravity
• A Local Resolution of the Problem of Time. XIV. Grounding on Lie's Mathematics
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• Metric Redefinition and UV Divergences in Quantum Einstein Gravity
• Note About Equivalence of F(R) and Scalar Tensor Horava-Lifshitz Gravities
• On the Expected Backreaction During Preheating
• Canonical transformations generated by the boundary volume: Unimodular and non-Abelian teleparallel gravity
• Spherically symmetric solutions of the $\lambda$-R model
• Complete noncommutativity in a cosmological model with radiation
• Linking Covariant and Canonical General Relativity via Local Observers
• Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry
• Novel Solution of Wheeler-DeWitt Theory
• The asymptotic structure of gravity at spatial infinity in four spacetime dimensions
• AEther as an Inevitable Consequence of Quantum Gravity
• Field-theoretic approach to large-scale structure formation
• Phase diagram of the charged black hole bomb system
• Problem of Time and Background Independence: classical version's higher Lie Theory
• Hamiltonian Analysis of Non-Relativistic Non-BPS Dp-brane
• The Sound of Clearing the Throat: Gravitational Waves from a Black Hole Orbiting in a Wormhole Geometry
• ADM mass in warp drive spacetimes
• Cosmological perturbation theory with matter time
• Quasi-local energy and ADM mass in pure Lovelock gravity
• Analytical expressions for greybody factor and dynamic evolution for scalar field in Hořava-Lifshitz black hole
• An Exact Fermionic Chern-Simons-Kodama State in Quantum Gravity
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Asymptotically simple spacetimes and mass loss due to gravitational waves
• Phase space for the Einstein equations
• The generalization of the ADM gravitational energy-momentum
• Use of Lagrange multiplier fields to eliminate multiloop corrections
• Causality and Stability from Acoustic Geometry
• Quantum Measurement and Initial Conditions
• Numerical construction of initial data for Einstein's equations with static extension to space-like infinity
• Hartle-Hawking No-boundary Proposal and Hořava-Lifshitz Gravity
• Projective Limits of State Spaces: Quantum Field Theory without a Vacuum
• Extending the rigidity of general relativity
• Genuine Cosmic Hair
• On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories
• Gravity with antisymmetric components
• On the absence of ghosts in quadratic bigravity
• Self-Gravitating Matter in Stationary and Axisymmetric Black Hole Spacetimes
• Extended quasilocal Thermodynamics of Schwarzchild-anti de Sitter black holes
• Black Hole Mechanics for Massive Gravitons
• On the lapse contour in the gravitational path integral
• Hamiltonian structure of bi-gravity, problem of ghost and bifurcation
• Dynamics of the Mixmaster Universe in a non-commutative Generalized Uncertainty Principle framework
• On the canonical structure and extra mode of generalized unimodular gravity
• Binary Black Hole Coalescence in Semi-Analytic Puncture Evolution
• Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Minisuperspace computation of the Mabuchi spectrum
• Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
• BRST Quantization of Cosmological Perturbations
• Asymptotically Weyl-Invariant Gravity
• ADM, BMS, and some puzzling interconnections
• On the absence of the Boulware-Deser ghost in novel graviton kinetic terms
• The algebra of observables in Gaußian normal spacetime coordinates
• Casimir effect of a rough membrane in 2+1 Horava-Lifshitz theory
• On the gravitational energy problem and the energy of photons
• Measuring the black hole spin direction in 3D Cartesian numerical relativity simulations
• Basic issues of conservative approaches to quantum theory of gravity
• Particle Collision near 1+1- Dimensional Horava-Lifshitz Black Hole and Naked Singularity
• Aspects of compactification on a linear dilaton background
• The shape dynamics description of gravity
• Electrodynamics in noninertial frames
• Stochastic Quantum Gravity, Gravitational Collapse and Grey Holes
• On The Dynamics of a Closed Viscous Universe
• Stressless Schwarzschild
• Quantifying closeness between black hole spacetimes: a superspace approach
• Type II critical collapse on a single fixed grid: a gauge-driven ingoing boundary method
• A modified thermodynamics method to generate exact solutions of the Einstein equations
• General Relativistic Effects in Weak Lensing Angular Power Spectra
• Energy-momentum tensor and duality symmetry of linearized gravity in the Fierz formalism
• Numerical Bifurcation Analysis of Conformal Formulations of the Einstein Constraints
• Spinor Fields and Symmetries of the Spacetime
• The Unified First law in "Cosmic Triad" Vector Field Scenario
• Charge, geometry, and effective mass
• A note on second-order perturbations of non-canonical scalar fields
• Quantum Geometry and Quantum Gravity
• The symplectic 2-form and Poisson bracket of null canonical gravity
• Duality-Symmetric Approach to General Relativity and Supergravity
• General Relativistic Theory of Light Propagation in the Field of Radiative Gravitational Multipoles
• Hamiltonian Formulation of Ghost Free Mimetic Massive Gravity
• Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
• Null boundary gravitational charges from local Lorentz symmetries
• Potentials for transverse trace-free tensors
• Abbott-Deser-Tekin like conserved quantities in Lanczos-Lovelock gravity: beyond Killing diffeomorphisms
• Analyzing the influence of graviton fluctuations on the inflationary spectrum with a Kuchař-Torre clock
• Semiclassical Dynamics of Hawking Radiation
• Sum Rule for the ADM Mass and Tensions in Planar AdS Spacetimes
• Hamiltonian Analysis of Minimal Massive Gravity Coupled to Galileon Tadpole Term
• A unified quantum theory II: gravity interacting with Yang-Mills and spinor fields
• Strongly hyperbolic Hamiltonian systems in numerical relativity: Formulation and symplectic integration
• Classical Holographic Relations and Alternative Boundary Conditions for Lovelock Gravity
• Absolute versus Relational Debate: a Modern Global Version
• The Functional Schrodinger Equation in the Semiclassical Limit of Quantum Gravity with a Gaussian Clock Field
• Multidomain Galerkin-Collocation method: characteristic spherical collapse of scalar fields
• EBWeyl: a Code to Invariantly Characterize Numerical Spacetimes
• Generating Initial Data in General Relativity using Adaptive Finite Element Methods
• A Modified Dynamical Model of Cosmology I. Theory
• BRST BMS4 Symmetry and its Cocycles from Horizontality Conditions
• First order formulation of the Yang-Mills theory in a background field
• CLAP for modified gravity: scalar instabilities in binary black hole spacetimes
• Weyl Symmetry in Stochastic Quantum Gravity
• A note on viability of nonminimally coupled $f(R)$ theory
• Warp drive dynamic solutions considering different fluid sources
• Wormholes or Gravastars?
• Deformed Heisenberg charges in three-dimensional gravity
• A covariant Hamiltonian tetrad approach to numerical relativity
• Quasiclassical model of inhomogeneous cosmology
• Boson stars and solitons confined in a Minkowski box
• Restoring Time Dependence into Quantum Cosmology
• Dynamics in canonical models of loop quantum gravity
• Event and Apparent Horizon Finders for 3+1 Numerical Relativity
• Quantum Einstein equations
• Recent progress on the positive energy theorem
• Perturbations and Linearization Stability of Closed Friedmann Universes
• On A Covariant Hamiltonian Description of Palatini's Gravity on Manifolds with Boundary
• Generalized Uncertainty Principle effects in the Hořava-Lifshitz quantum theory of gravity
• Generalized uncertainty principle in quantum cosmology for the maximally symmetric space
• Quantum Cosmology in $(1+1)$-dimensional Hořava-Lifshitz theory of gravity
• Hamiltonian formalism for cosmological perturbations: fixing the gauge
• Lattice Boltzmann Model for Numerical Relativity
• Quantum Cosmology with many fluids and the choice of cosmological time
• Three dimensional distorted black holes: using the Galerkin-Collocation method
• Where to Apply Relationalism
• Quasiclassical solutions for static quantum black holes
• Problem of Time: Temporal Relationalism Compatibility of Other Local Classical Facets Completed
• Timeless state of gravity: Black hole universal clock
• Bi-gravity with a single graviton
• Structure formation and quasi-spherical collapse from initial curvature perturbations with numerical relativity simulations
• Ground-state Wigner functional of linearized gravitational field
• Consistency of an alternative CPT-odd and Lorentz-violating extension of QED
• Quantum reduced loop gravity: extension to gauge vector field
• Knot reconstruction of the scalar primordial power spectrum with Planck, ACT, and SPT CMB data
• Relational dynamics and Page-Wootters formalism in group field theory
• A Wheeler-DeWitt Equation with Time
• On the 1+3 Formalism in General Relativity
• BICEP2 constrains Composite Inflation
• Probing Particle Physics with Gravitational Waves
• Loop quantum gravity, twistors, and some perspectives on the problem of time
• xAct Implementation of the Theory of Cosmological Perturbation in Bianchi I Spacetimes
• On geodesics in space-times with a foliation structure: A spectral geometry approach
• Canonical structure of BHT massive gravity in warped AdS3 sector
• Quantum gravity tomography
• Schwarzschild Mass Uncertainty
• Alternative route towards the change of metric signature
• Gauge invariant description of weak gravitational field on a spherically symmetric background with cosmological constant
• Critical Insight into the Cosmological Sector of Loop Quantum Gravity
• Hawking Temperature as the Total Gauss-Bonnet Invariant of the Region Outside a Black Hole
• Cosmic censorship conjecture in some matching spherical collapsing metrics
• The general gravitational Lagrangian with deformed covariance
• Holographic entanglement entropy and complexity for the cosmological braneworld model
• Quantum gravity as the way from spacetime to space quantum states thermodynamics
• No smooth spacetime: Exploring primordial perturbations in Lorentzian quantum cosmology
• Trumpet Initial Data for Boosted Black Holes
• On the Kerr metric in a synchronous reference frame
• Non-linear power spectra in the synchronous gauge
• Local approach to thermodynamics of black holes
• (Loop) quantum gravity and the inflationary scenario
• Linking shape dynamics and loop quantum gravity
• Intrinsic energy of Lemaître-Tolman-Bondi models and cosmological implications
• On Lorentz-invariant spin-2 theories
• Kinematics of arbitrary spin matter fields in loop quantum gravity
• Asymptotic conformal symmetry at spatial infinity
• First-order Lagrangian and Hamiltonian of Lovelock gravity
• Unveiling the electrodynamic nature of spacetime collisions
• A unified field theory II: Gravity interacting with a Yang-Mills and Higgs field
• Weyl-invariant Higher Curvature Gravity Theories in n Dimensions and Mass Generation by Symmetry Breaking
• Puncture black hole initial data in the conformal thin-sandwich formalism
• A novel probe of Einstein-Hilbert action: Dynamic upgradation of metric parameters
• Wave optics of quantum gravity for massive particles
• Quantum mechanics on York slices
• Primordial non-Gaussianities produced by features in the potential of single slow-roll inflationary models
• Reference frames in classical and relativistic physics
• Covariant phase space and $L_{\infty }$ algebras
• Review of Conformally Flat Approximation for Binary Neutron Star Initial Conditions
• An $OSp$ extension of Canonical Tensor Model
• Topics in Asymptotic Symmetries and Infrared Effects
• The NUT in the N=2 Superalgebra
• Quantum Cosmology Aspects Of D3 Branes and Tachyon Dynamics
• On Clifford Subalgebras, Spacetime Splittings and Applications
• Fluid analogs for rotating black holes
• A Note on Kerr/CFT and Wald Entropy Discrepancy in High Derivative Gravities
• Classical Effective Field Theory for Weak Ultra Relativistic Scattering
• Decomposition of linear metric perturbations on generic background spacetime -- Toward higher-order general-relativistic gauge-invariant perturbation theory
• Higher-Curvature Gravity, Black Holes and Holography
• Confronting the Potential-driven DBI-inspired nonminimal kinetic coupling (Dinkic) inflation to the observational data
• The Angular Tension of Black Holes
• A Survey of Spherically Symmetric Spacetimes
• On the Hamilton-Jacobi approach to inflation beyond slow roll
• Excision and avoiding the use of boundary conditions in numerical relativity
• Does Planck Actually "See" the Bunch-Davies State?
• Tomographic analysis of the De Sitter model in quantum and classical cosmology
• On canonical transformations of gravitational variables in extended phase space
• Gravitational Wave Formation from the Collapse of Dark Energy Field Configurations
• The quasilocal energy and thermodynamic first law in accelerating AdS black holes
• Multidomain Galerkin-Collocation method: spherical collapse of scalar fields II
• Fourth-post-Newtonian-exact approximation to General Relativity
• The Invisibility of Diffeomorphisms
• Reflections on the hyperbolic plane
• Hamiltonian Analysis of Nonlocal F(R) Gravity Models
• Massive particles coupled with 2+1 dimensional gravity and noncommutative field theory
• The general scalar-tensor Hamiltonian with deformed covariance
• Singular manifolds, topology change and the dynamics of compactification
• No Future in Black Holes
• The evolution of conifolds
• Relative localization of point particle interactions
• Stable, thin wall, negative mass bubbles in de Sitter space-time
• The Final Merger of Comparable Mass Binary Black Holes
• Anisotropic critical points from holography
• Three dimensional black strings: instabilities and asymptotic charges
• One-Dimensional Relativistic Self-Gravitating Systems
• Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity
• Photon orbits and phase transition for gravitational decoupled Kerr anti-de Sitter black holes
• General covariance and the objectivity of space-time point-events
• Condensates beyond the horizons
• 3+1 formalism of the minimally extended varying speed of light model
• Asymptotic behavior of a matter filled universe with exotic topology
• Where are the BTZ Black Hole Degrees of Freedom? The Rotating Case
• Canonical analysis with no second-class constraints of $BF$ gravity with Immirzi parameter
• Hamiltonian analysis of metric-affine-$R^2$ theory
• Vacuum Decay in General Relativity
• Introduction to gravitational wave astronomy
• Effects of high-order operators in non-relativistic Lifshitz holography
• Non-linear corrections to inflationary power spectrum
• Relativistic Constraints for a Naturalistic Metaphysics of Time
• A general relativistic extension to mesh-free methods for hydrodynamics
• Classical and quantum cosmology of $f(R)$ gravity's rainbow in Schutz's formalism
• Cosmological Models in Modified f(R) Gravity Theories
• Cosmology in $(1+1)$-dimensional Hořava-Lifshitz theory of gravity
• Spin fluctuations and black hole singularities: the onset of quantum gravity is spacelike
• Hidden Lorentz symmetry of the Horava - Lifshitz gravity
• Thin shells of dust in a compact universe
• Higher derivative gravity with spontaneous symmetry breaking: Hamiltonian analysis of new covariant renormalizable gravity
• Approximate analytical description of apparent horizons for initial data with momentum and spin
• Canonical aspects of pregeometric vector-based first order gauge theory
• Canonical quantization and black hole perturbations
• Master variables and Darboux symmetry for axial perturbations of the exterior and interior of black hole spacetimes
• Tipler Naked Singularities in $N$ Dimensions
• Hamiltonian equations of motion of quadratic gravity
• The Hamiltonian constraint in the symmetric teleparallel equivalent of general relativity
• Generic analysis of kinetically driven inflation
• Holographic pressure and volume for black holes
• Asymptotic symmetries in Carrollian theories of gravity
• Self-gravitating fluid solutions of Shape Dynamics
• Bowen-York Model Solution Redux
• Lessons for loop quantum gravity from emergent modified gravity
• Recovering the Principle of Relativity from the Cosmic Fabric Model of Space
• Time-domain inspiral templates for spinning compact binaries in quasi-circular orbits described by their orbital angular momenta
• Kalb-Ramond field, black holes and black strings in (2 + 1)D
• Energy and momentum in multiple metric theories
• A Note on the Strong Hyperbolicity of $f(R)$ Gravity with Dynamical Shifts
• First-order hyperbolic formulation of the pure tetrad teleparallel gravity theory
• Basics of Apparent Horizons in Black Hole Physics
• New second derivative theories of gravity for spherically symmetric spacetimes
• Towards a general solution of the Hamiltonian constraints of General Relativity
• Constrained field theories on spherically symmetric spacetimes with horizons
• The legacy of ADM
• The quantization of gravity: Quantization of the Hamilton equations
• Coordinate independent expression for transverse trace-free tensors
• On the maximally symmetric vacua of generic Lovelock gravities
• Classical double copy in the black hole mini-superspace
• Comparing an analytical spacetime metric for a merging binary to a fully nonlinear numerical evolution using curvature scalars
• Gauge protected entanglement between gravity and matter
• Wheeler-DeWitt Equation in Five Dimensions and Modified QED
• On restrictions of current warp drive spacetimes and immediate possibilities of improvement
• Causality Implies Inflationary Back-Reaction
• Aspects of Quasi-local energy for gravity coupled to gauge fields
• Gauge-fixing and spacetime reconstruction in the Hamiltonian theory of cosmological perturbations
• Aspects of quantum gravity
• Maxwell-like picture of General Relativity and its Planck limit
• Covert Symmetry Breaking
• $f$-mode oscillations of compact stars with realistic equations of state in dynamical spacetime
• From negative to positive cosmological constant through decreasing temperature of the Universe: connection with string theory and spacetime foliation results
• Twist and higher modes of a complex scalar field at the threshold of collapse
• Dynamical hair growth in black hole binaries in Einstein-scalar-Gauss-Bonnet gravity
• Bunch-Davies initial conditions and non-perturbative inflationary dynamics in Numerical Relativity
• On the viability of minimal Hořava gravity
• Magnetic seed generation by plasma heat flux in accretion disks
• Casimir Effect of rough plates under a magnetic field in Hořava-Lifshitz theory
• A monogamy paradox in empty flat space
• Fractional entropy of the Brown-Kuchař dust in fractional anti-de Sitter quantum gravity
• Euclidean Wormholes in Horava-Lifshitz Gravity
• Linking the ADM formulation to other Hamiltonian formulations of general relativity
• General relativistic hydrodynamics code for dynamical spacetimes with curvilinear coordinates, tabulated equations of state, and neutrino physics
• HBT Interferometry and Quantum Nature of Primordial Gravitational Waves in Hořava-Lifshitz Gravity
• Null Foliations of Spacetime and the Geometry of Black Hole Horizons
• Degrees of Freedom of New General Relativity I: Type 2, Type 3, Type 5, and Type 8
• Lifshitz-scaling in CPT-even Lorentz-violating electrodynamics and GRB time delay
• Local invariants of divergence-free webs
• Canonical analysis of E${}_{6(6)}(\mathbb{R})$ invariant five dimensional (super-)gravity
• Note About Non-Relativistic Diffeomorphism Invariant Gravity Action in Three Dimensions
• On the Bondi mass of Maxwell-Klein-Gordon spacetimes
• Fractional black $p$-branes on orbifold ${\mathbb{C}}^n/{\mathbb{Z}}_n$
• Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime
• Quantum gravity and quantum probability
• Note About Consistent Extension of Quasidilaton Massive Gravity
• ExaGRyPE: Numerical General Relativity Solvers Based upon the Hyperbolic PDEs Solver Engine ExaHyPE
• Quantum Error Correction in Loop Quantum Gravity
• Einstein flow with matter sources: stability and convergence
• Rotating AdS Einstein universes from constrained metrics
• Contracted Lorentz invariance for gravity with a preferred foliation
• On the total mass of closed universes
• Hamiltonian Analysis of the Conformal Decomposition of the Gravitational Field
• The Geometry of Time in Topological Quantum Gravity of the Ricci Flow
• Propagation of anisotropic gravitational and electromagnetic waves at very high energies
• Fiber bundle structure in Ashtekar-Barbero-Immirzi formulation of General Relativity
• Natures of Statefinder Parameters and Om Diagnostic for Cardassian Universe in Horava-Lifshitz Gravity
• Generalized ADT charges and asymptotic symmetry algebra
• Unimodular Gauge and ADM Gravity Path Integral
• Wave zone in the Hořava-Lifshitz theory at the kinetic-conformal point in the low energy regime
• Remarks on numerical relativity, geodesic motions, binary neutron star evolution
• New frontiers in Numerical Relativity
• $\delta N$ formalism on the past light-cone
• Phase profile of the wave function of canonical tensor model and emergence of large spacetimes
• Gravitational waves in Hořava-Lifshitz anisotropic gravity
• M-theory Calabi-Yau Quantum Mechanics
• Modeling the Past Hypothesis: A Mechanical Cosmology
• Much ado about nothing: a treatise on empty and not-so-empty spacetimes
• Dynamics of a self gravitating light-like matter shell with spherical symmetry
• Hydrodynamic representation and Energy Balance for Dirac and Weyl fermions in curved space-times
• Bosonic Quantum Gravity According to the Global One-Dimensionality Conjecture
• Second-order mass estimates for static vacuum metrics with small Bartnik data
• A general relativistic magnetohydrodynamics extension to mesh-less schemes in the code GIZMO
• Measuring the properties of homogeneous turbulence in curved spacetimes
• Constructing of constraint preserving scheme for Einstein equations
• Towards a Hartle-Hawking state for loop quantum gravity
• Lorentzian Vacuum Transitions with a Generalized Uncertainty Principle
• Violation of Unitarity in Gravitational Subregions
• Challenging a binary neutron star merger interpretation of GW230529
• Notes on solution phase space and BTZ black hole
• Post-Minkowskian closed-form Hamiltonian for gravitating N-body systems
• Constraint algebra of general relativity from a formal continuum limit of canonical tensor model
• Inflation by Variation of the Strong Coupling Constant: update for Planck 2018
• Charge Orbits and Moduli Spaces of Black Hole Attractors
• Gravitation and cosmology with York time
• On Non-commutative Corrections of Gravitational Energy in Teleparallel Gravity
• Loop quantum gravity with optimal control path integral, and application to black hole tunneling
• Definitions of energy for the description of gravity as the splitting theory
• Hamiltonian gravity in tetrad-connection variables
• Quasi-local definitions of energy in general relativity
• Quasinormal modes in Lorentz violating black hole analogues
• Does Cosmology require Hermiticity in Quantum Mechanics?
• Imprints of intrinsic and exterior curvatures in cosmology
• Remarks on the "non-canonicity puzzle": Lagrangian symmetries of the Einstein-Hilbert action
• Higgs Effect Without Lunch
• Universal horizons and Hawking radiation in nonprojectable 2d Hořava gravity coupled with a non-relativistic scalar field
• General-Relativistic Gauge-Invariant Magnetic Helicity Transport: Basic Formulation and Application to Neutron Star Mergers
• Energy and Hamiltonian in first order gravity
• A note on conformally compactified connection dynamics tailored for anti-de Sitter space
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects
• Jordan meets Freudenthal. A Black Hole Exceptional Story
• On anomaly freedom in spherically symmetric lattice loop quantization
• On the Geometric Meaning of General Relativity and the Foundations of Newtonian Cosmology
• Deterministic evolution of gauge fields through a singularity
• Superspace worldline formalism approach to Quantum Gravity: dimensional reduction and Holography
• WKB approach to the gravity-matter dynamics: a cosmological implementation
• A note on the Hamiltonian constraint in canonical GR
• Lorentz Gauge Theory of Gravity in Electron Positron Colliders
• Quaternion-Loop Quantum Gravity
• Elliptic Curves and Algebraic Geometry Approach in Gravity Theory I.The General Approach
• Phenomenologically viable gravitational theory based on a preferred foliation without extra modes
• A Closer Look at Natário's Zero-Expansion Warp Drive
• Black Hole Entropy in General Relativity
• The Dark Universe Riddle
• Disformal transformations as a change of units
• Cosmological Perturbations in Restricted f(R)-Gravity
• Does Gravity Render Probability Quasilocal?
• Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
• A Unified Interpretation of Supernova, GRB, and QSO Time Dilation Signals in a Generalized Cosmological Time Framework
• Killing and homothetic initial data for general hypersurfaces
• Earthquake Quantization
• Tractor beams, pressor beams, and stressor beams in general relativity
• Particle interactions predicted from minimum information
• Geometry of isolated horizons
• Inflation with vector fields revisited: heavy entropy perturbations and primordial black holes
• Note on explicit form of entanglement entropy in the RST model
• Hypersurface deformations
• On the Role of Fiducial Structures in Minisuperspace Reduction and Quantum Fluctuations in LQC
• Scale Invariance in Gravity On The Light-Front
• Regularization of the cosmological sector of loop quantum gravity with bosonic matter and the related problems with general covariance of quantum corrections
• A Bianchi Type IV Viscous Fluid Model of The Early Universe
• Constrained field theories on Kerr backgrounds
• Equivalence Principle on Cosmological Backgrounds in Scalar-Tensor Theories
• Axially Symmetric Perturbations of Kerr Black Holes I: A gauge-invariant construction of ADM Energy
• BHaHAHA: A Fast, Robust Apparent Horizon Finder Library for Numerical Relativity
• Adiabatic Solutions in General Relativity and Boundary Symmetries
• Non-linear effects in early Universe cosmology
• Gravitational Lensing of Gravitational Waves from Astrophysical Sources: Theory, Detection, and Applications
• The Nature and Origin of Time-asymmetric Spacetime Structures
• Field theoretical approach to gravitational waves
• A polytopal discrete de Rham scheme for the exterior calculus Einstein's equations
• On the recovery of geometrodynamics from two different sets of first principles
• Causal Symmetry and the Transactional Interpretation
• Cosmology in Loop Quantum Gravity: symmetry reduction preserving gauge degrees of freedom
• Conserved charges of the Kerr black hole revisited
• Dual Komar Mass, Torsion and Riemann-Cartan Manifolds
• Generalized Off-Shell ADT Conserved Charges in the Presence of Matter Chern-Simons Term
• Emergence of Lie group symmetric classical spacetimes in canonical tensor model
• On the Rényi entropy of Lifshitz and hyperscaling violating black holes
• Termodinámica de agujeros negros y campos escalares
• The irreducible mass of a regular rotating black hole
• Emergent Dark Matter and Dark Energy from a Lattice Model
• On the discrete version of the Kerr geometry
• Mother canonical tensor model
• Space-geometric interpretation of standard model fermions
• Challenging theories of gravitation: dark matter, compact objects and gravitational waves
• Hawking Radiation: A Comparison of Pure-state and Thermal Descriptions
• Constraints on the $\gamma$-parameter for the vacuum solution of Cotton gravity with geodesics and shadows
• A Note on the Near Horizon Charges for the Five Dimensional Myers-Perry Black Holes
• On thermalization of a boost-invariant non Abelian plasma
• On limit behavior of quasi-local mass for ellipsoids at spatial infinity
• The ADM papers and part of their modern legacy: loop quantum gravity
• Space-time superpositions as fluctuating geometries
• Renormalization of the Einstein-Hilbert action
• Cosmological perturbation theory with York time
• Localized Penrose inequality for the Liu-Yau mass in spherical symmetry
• Barnich-Troessaert Bracket as a Dirac Bracket on the Covariant Phase Space
• Bimetric interactions based on metric congruences
• A Tour Through Shape Dynamic Black Holes
• Refined form of the paper "Canonical formalism of the f(R)-type gravity in terms of Lie derivatives"
• The Isometric Embedding Problem in a Null Cone
• Stable numerical simulation of Einstein equations in gravitational collapse space--time
• Are mental states nonlocal?
• Canonical Relativity and the Dimensionality of the World
• Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta N$ formalism
• Symmetries of space-time
• Time and a Temporally Statistical Quantum Geometrodynamics
• The scalar field and gravity combined variable in ADM theory
• Differential geometry, a possible avenue for thermal ablation in oncology?
• Analytical constraints on gravitational models with a quadratic Weyl tensor
• PatchworkWave: A Multipatch Infrastructure for Multiphysics/Multiscale/Multiframe/Multimethod Simulations at Arbitrary Order
• The averaging problem on the past null cone in inhomogeneous dust cosmologies
• A Local Resolution of the Problem of Time. VIII. Assignment of Observables
• Comparative Theory of Background Independence
• Does the cosmological constant stay hidden?
• Effects of quantum corrections to Lorentzian vacuum transitions in the presence of gravity
• Black-hole models in loop quantum gravity
• Numerical Relativity, Holography and the Quantum Null Energy Condition
• Quantum Geometrodynamics of Higher Derivative Theories with and without Conformal Symmetry
• Hayward Quasilocal Energy of Tori
• Unitarity in the Schroedinger Formalism of QFT in Curved Space-Time
• Isotropic Coordinates for Generalized Schwarzschild-like Solutions
• Analysis of some classical and quantum aspects of black holes
• Entropy product of rotating black holes in three-dimensions
• Weakly Broken Galileon Symmetry in Cosmology
• The Analysis to Quasi-Local Energy and Hamiltonian Constraint based on Variation
• Penrose quasi-local energy and Kerr-Schild metrics
• On symmetries and charges at spatial infinity
• Preface to Fields, Gravity, Strings and Beyond: In Memory of Stanley Deser
• The Space of Connections as the Arena for (Quantum) Gravity
• First order formalism for bimetric theories with connection interaction
• Canonical formalism of bigravity
• Wave mechanics for gravity with point-particles
• Off-Shell ADT Conserved Quantities in Palatini Gravity
• Proof of Positivity of Mass for Maximally Sliced, Asymptotically Flat Spacetimes
• Entangled states as a probe of early universe history: a Higgs case study
• Some Applications of the ADM Formalism
• Indeterministic finite-precision physics and intuitionistic mathematics
• Modified Hamiltonian formalism for Regge Teitelboim Cosmology
• Traversable Wormholes in Distorted Gravity
• Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms
• Observables and Hamilton-Jacobi approaches to general relativity. I. The Earlier History
• Gravitational waves from black-hole mergers
• Gauge theory of quantum gravity
• Black hole shadows in nonminimally coupled Weyl connection gravity
• Endeavours in Discrete Lorentzian Geometry; A thesis in five papers
• Meronic Einstein-Yang-Mills black hole in 5D and gravitational spin from isospin effect
• Positive Mass in General Relativity Without Energy Conditions
• BMS symmetry in gravity: Front form versus Instant form
• The Entropic Dynamics of Relativistic Quantum Fields in Curved Space-time
• Relating the wave-function collapse with Euler's formula, with applications to Classical Statistical Field Theory
• Comparative description of the evolving universe in classical and quantum geometrodynamics
• Time Parametrizations in Long-Range Interacting Bose-Einstein Condensates
• An Evolving Spacetime Metric Induced by a `Static' Source
• An Analytical Formula for Gravitational Faraday Rotation in the ADM Split of Spacetime
• Critical Parameterisation of the Brill Wave Initial Value Problem
• Salecker-Wigner-Karolyhazy Gedankenexperiment in light of the self-gravity
• Black hole solutions of modified gravity theories
• A parametrix for quantum gravity?
• Particles, Forces and the Early Universe
• Chern-Simons gravitational term coupled to a spectator field
• Symmetry Transformations in Cosmological and Black Hole Analytical Solutions
• Bohmian Field Theory on a Shape Dynamics Background and Unruh Effect
• ADM canonical formulation with spin and application to post-Newtonian approximations
• Thermodynamic Stability of Schwarzschild-de Sitter Black holes with Rényi entropy
• Singularities in loop quantum cosmology
• Motion in Quantum Gravity
• Hamiltonian Theory: generalizations to higher dimensions, supersymmetry and modified gravity
• The canonical formulation of E${}_{6(6)}$ exceptional field theory
• Report on GRG18, Session A3, Mathematical Studies of the Field Equations
• A remark on the quasilocal calculation of tidal heating: energy transfer through the quasilocal surface
• Negative-Energy Matter and the Direction of Time
• The formulation of General Relativity in extended phase space as a way to its quantization
• The Fields of Ultra-Relativistic Gravitation
• Hamiltonian formulation of General Relativity 50 years after the Dirac celebrated paper: do unsolved problems still exist?
• Perturbative Analytical Construction of Bowen-York Initial Data for Binary Black Holes up to Third Order in Spin and Linear Momentum
• On the Preservation of the Local Properties of Time in General Relativity
• Origin of the Arrow of Time in Quantum Mechanics
• Lorentzian Vacuum Transitions in Hořava-Lifshitz Gravity
• Comments on ``The Einstein-Hilbert Lagrangian Density in a 2-dimensional Spacetime is an Exact Differential'' by R. da Rocha and W.A. Rodrigues, Jr
• Explaining Leibniz-equivalence as difference of non-inertial appearances: dis-solution of the Hole Argument and physical individuation of point-events
• Geodesics in Quantum Gravity
• Yang Mills Theory of Gravity
• On the unexpected geometrical origin of the algebra of symmetries
• Kaluza-Klein dimensional reduction and Gauss-Codazzi-Ricci equations
• On the energy flow of $\lambda$ in Hořava-Lifshitz cosmology
• Negative kinetic energy term of general relativity and its removing
• de Sitter-covariant Hamiltonian formalism of Einstein--Cartan gravity
• Lorentzian Vacuum Transitions for Anisotropic Universes
• Effective cosmology from one-body operators in group field theory
• Routh Reduction of Palatini Gravity in Vacuum
• Hypersurface Anchored Variational Principle for General Relativity
• Reduction to first order of the Hamiltonian Constraint of General Relativity
• (Anti-)BRST Symmetries in FLRW Model: Supervariable Approach
• Variations of Gauss-Codazzi-Ricci Equations in Kaluza-Klein Reduction (String Theory) and Cauchy Problem (General Relativity)
• Geometric Matching of Local Static Regions in Cosmological Spacetimes with an Evolving Lapse
• A spectral approach to numerical simulations of the ADM equations
• Kinematic Probes of Type-II MMG: Padé Cosmographic Analysis of VCDM
• Exact analytic solutions in 2+1 Hořava gravity with cosmological constant
• Radial canonical $\Lambda <0$ gravity
• The intrinsic pathology of self-interacting vector fields
• Quasi-local energy and compactification
• Cosmology in the presence of diffeomorphism-violating, nondynamical background fields