Massive Gravity

Abstract

We review recent progress in massive gravity. We start by showing how different theories of massive gravity emerge from a higher-dimensional theory of general relativity, leading to the Dvali-Gabadadze-Porrati model, cascading gravity and ghost-free massive gravity. We then explore their theoretical and phenomenological consistency, proving the absence of Boulware-Deser ghosts and reviewing the Vainshtein mechanism and the cosmological solutions in these models. Finally we present alternative and related models of massive gravity such as new massive gravity, Lorentz-violating massive gravity and non-local massive gravity.

Invited review article for Living Reviews in Relativity. v2: References added, discussions clarified and streamlined. arXiv admin note: text overlap with arXiv:1203.5153 by other authors

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• Possible Signatures of Inflationary Particle Content: Spin-2 Fields
• Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
• Decoherence of Gravitational Wave Oscillations in Bigravity
• Black holes and stars in the minimal theory of massive gravity
• Hair loss in parity violating gravity
• The Big Constant Out, The Small Constant In
• Einstein's Equations for Spin $2$ Mass $0$ from Noether's Converse Hilbertian Assertion
• Constraints on the velocity of gravitational waves from NANOGrav 15-year data set
• Conserved charges in Chern-Simons modified theory and memory effects
• Prospects for Constraining the Yukawa Gravity with Pulsars around Sagittarius A*
• Non-linear partially massless symmetry in an SO(1,5) continuation of conformal gravity
• On Partially Massless Theory in 3 Dimensions
• Non-minimal Tinges of Unimodular Gravity
• Gravity with Explicit Diffeomorphism Breaking
• Phase transitions of black holes in massive gravity
• Gauge and global symmetries of the candidate partially massless bimetric gravity
• Combining cosmological and local bounds on bimetric theory
• Black hole solutions correspondence between conformal and massive theories of gravity
• Screening in perturbative approaches to LSS
• Geometric mean of bimetric spacetimes
• Infrared modified gravity with propagating torsion: instability of torsionfull de Sitter-like solutions
• Spatial curvature in coincident gauge $f(Q)$ cosmology
• Cutoff for Extensions of Massive Gravity and Bi-Gravity
• Cosmological implications of Rastall-$f(R)$ theory
• Covariantly Quantum Galileon
• Global structure of static spherically symmetric solutions surrounded by quintessence
• Non-compact nonlinear sigma models
• Unimodular $f(G)$ gravity
• Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow
• Quantum Stability of Generalized Proca Theories
• Rotating (A)dS black holes in bigravity
• Regularization of instabilities in gravity theories
• Completing Lorentz violating massive gravity at high energies
• Graviton-photon production with a massive spin-2 particle
• Mass - radius ratio bounds for compact objects in Lorentz-violating dRGT Massive Gravity theory
• Observational bounds on extended minimal theories of massive gravity: New limits on the graviton mass
• Ghostfree quadratic curvature theories with massive spin-2 and spin-0 particles
• Counterterms in Massive Gravity Theory
• The ${\Lambda }_2$ limit of massive gravity
• Massive Graviton Geons
• Horndeski stars
• Weak lensing probe of cubic Galileon model
• Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
• Nonderivative Modified Gravity: a Classification
• $K$-field kinks: stability, exact solutions and new features
• On nonlocally interacting metrics, and a simple proposal for cosmic acceleration
• On the role of constraints and degrees of freedom in the Hamiltonian formalism
• Observed galaxy power spectrum in cubic Galileon model
• Presymplectic structures and intrinsic Lagrangians for massive fields
• Supercomputers against strong coupling in gravity with curvature and torsion
• Path-integral derivation of black-hole radiance inside the de-Rham-Gabadadze-Tolley formulation of massive gravity
• Einstein's Physical Strategy, Energy Conservation, Symmetries, and Stability: "but Grossmann & I believed that the conservation laws were not satisfied"
• Coupling between Galileon and massive gravity with composite metrics
• Probing Screening and the Graviton Mass with Gravitational Waves
• Estimating the parameters of Hybrid Palatini gravity model with the Schwarzschild precession of S2, S38 and S55 stars: case of bulk mass distribution
• A note on Harmonic Gauge(s) in Massive Gravity
• Classification and asymptotic structure of black holes in bimetric theory
• Quasinormal modes of a massless Dirac field in de Rham-Gabadadze-Tolley massive gravity
• Attracted to de Sitter: cosmology of the linear Horndeski models
• Massive gravity and the suppression of anisotropies and gravitational waves in a matter-dominated contracting universe
• Influences of Dark Energy and dark matter on Gravitational Time Advancement
• Effective Action, Spectrum and First Law of Wedge Holography
• Shift-Symmetric Spin-1 Theories
• Massive mimetic cosmology
• Emergent Universe Scenario, Bouncing and Cyclic Universes in Degenerate Massive Gravity
• Kaluza-Klein Reduction of Massive and Partially Massless Spin-2 Fields
• Massive graviton dark matter with environment dependent mass: A natural explanation of the dark matter-baryon ratio
• Comparing dark energy models with current observational data
• Multi-messenger Gravitational Lensing
• Parameterised post-Newtonian formalism for the effective field theory of dark energy via screened reconstructed Horndeski theories
• Einstein static universe on the brane supported by extended Chaplygin gas
• Gravitational wave constraints on non-birefringent dispersions of gravitational waves due to Lorentz violations with GWTC-3
• Kant, Schlick and Friedman on Space, Time and Gravity in Light of Three Lessons from Particle Physics
• Emergent Universe in the Braneworld Scenario
• Equivalent off-diagonal cosmological models and ekpyrotic scenarios in f(R)-modified, massive and Einstein gravity
• Small Anisotropy in Stellar Objects in Modified Theories of Gravity
• Superfluids and the Cosmological Constant Problem
• Search for environment-dependent dilatons
• The Black Hole Radiation in Massive Gravity
• Vainshtein Screening in Bimetric Cosmology
• Unveiling the Graviton Mass Bounds through Analysis of 2023 Pulsar Timing Array Data Releases
• Matter Coupling in Massive Gravity
• Singular Accelerated Evolution in Massive $F(R)$ Bigravity
• Emergent gravity from hidden sectors and TT deformations
• Massive gravity with Lorentz symmetry breaking: black holes as heat engines
• Oscillons in Higher-Derivative Effective Field Theories
• A model independent parametrization of the late time cosmic acceleration: constraints on the parameters from recent observations
• Derivative interactions for a spin-2 field at cubic order
• Extending applicability of bimetric theory: chameleon bigravity
• Entanglement Wedge Minimum Cross-section in Holographic Massive Gravity Theory
• Rotating black string in dRGT massive gravity
• Constraint on the mass of graviton with gravitational waves
• Einstein-Proca theory from the Einstein-Cartan formulation
• UV Constraints on Massive Spinning Particles: Lessons from the Gravitino
• Pseudo-Linear Spin-2 Interactions
• Structures in multiple spin-2 interactions
• Energy-momentum tensors in linearized Einstein's theory and massive gravity: The question of uniqueness
• EFT of Interacting Spin-2 Fields
• An effective field theory of holographic dark energy
• The dimensional reduction of linearized spin-2 theories invariant under transverse diffeomorphisms
• Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
• Positivity Bounds on Massive Vectors
• Dressing vs. Fixing: On How to Extract and Interpret Gauge-Invariant Content
• From Lovelock to Horndeski's generalised scalar-tensor theory
• A Study of Black Holes in $F(R)-$ModMax Gravity: Gravitational Lensing and Constraints from EHT Observations
• Energy in ghost-free massive gravity theory
• The effects of massive graviton on the equilibrium between the black hole and radiation gas in an isolated box
• Multimetric Supergravities
• A spectre is haunting the cosmos: Quantum stability of massive gravity with ghosts
• On Consistent Kinetic and Derivative Interactions for Gravitons
• Cosmic Time Slip: Testing Gravity on Supergalactic Scales with Strong-Lensing Time Delays
• Cosmic backreaction and Gauss's law
• Ensemble Average Theory of Gravity
• Post-Newtonian parameter $\gamma$ and the deflection of light in ghost-free massive bimetric gravity
• A Complementary Third Law for Black Hole Thermodynamics
• Disformal transformations on the CMB
• Gauged Galileons
• Noncommutative gravity with self-dual variables
• Very Special Linear Gravity: A Gauge-Invariant Graviton Mass
• A Well-Posed UV Completion for Simulating Scalar Galileons
• The Universe as a Cosmic String
• Cosmology in Brans-Dicke-de Rham-Gabadadze-Tolley massive gravity
• Black String in Massive Gravity
• Effective theory for self-interacting dark matter and massive spin-2 mediators
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Quantum effective action for degenerate vector field theories
• Massive AdS Supergravitons and Holography
• Different ways to estimate graviton mass
• Emergent Cosmos in Einstein-Cartan Theory
• Holography of information in massive gravity using Dirac brackets
• A study on Cubic Galileon Gravity Using N-body Simulations
• Compact binary systems in Einstein-Aether gravity: Direct integration of the relaxed field equations to 2.5 post-Newtonian order
• Cosmology and perturbations in tachyonic massive gravity
• Galileons Coupled to Massive Gravity: General Analysis and Cosmological Solutions
• Hamiltonian analysis of General Relativity and extended gravity from the iterative Faddeev-Jackiw symplectic approach
• Neural post-Einsteinian framework for efficient theory-agnostic tests of general relativity with gravitational waves
• Bayesian test of the mass of the graviton with planetary ephemerides
• Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
• The imprint of superradiance on hierarchical black hole mergers
• Free-falling test particles in a charged Kalb-Ramond black hole: gravitational Doppler effect and tidal forces
• Theoretical implications of detecting gravitational waves
• Metamorphosis of the Cosmological Constant and 5D Origin of the Fiducial Metric
• Interactions of Charged Spin-2 Fields
• Vaidya solution and its generalization in de Rham-Gabadadze-Tolley massive gravity
• Nonlinearly Charged Black Hole Chemistry with Massive Gravitons in the Grand Canonical Ensemble
• Bound on the graviton mass from Chandra X-ray cluster sample
• On the ratio of lapses in bimetric relativity
• Black holes in massive gravity: quasinormal modes of Dirac field perturbations
• Testing alternative theories of gravity with space-based gravitational wave detectors
• Symmetries from Locality. II. Gravitation and Lorentz Boosts
• Supersymmetric Massive Gravity
• Modified gravity as a diagravitational medium
• Cosmology in time asymmetric extensions of general relativity
• Constraints on hidden gravitons from fifth-force experiments and stellar energy loss
• Dark Energy From Dynamical Projective Connections
• Horndeski fermion-boson stars
• The dressing field method for diffeomorphisms: a relational framework
• Primordial Tensor Non-Gaussianity from Massive Gravity
• Beyond dRGT as Mimetic Massive
• Strong-coupling scales and the graph structure of multi-gravity theories
• Novel nonlinear kinetic terms for gravitons
• Magnetic solutions in Einstein-massive gravity with linear and nonlinear fields
• Cosmology with moving bimetric fluids
• Estimates of cluster masses in screened modified gravity
• Critical Heat Engines in Massive Gravity
• Generalising the matter coupling in massive gravity: a search for new interactions
• Parameterized and Consistency Tests of Gravity with Gravitational Waves: Current and Future
• Generalized unimodular gravity as a form of k-essence
• On the Faddeev-Jackiw Symplectic Framework for Topologically Massive Gravity
• Gravitational Waves in New General Relativity
• Constraints on alternative theories of gravity with observations of the Galactic Center
• Thermodynamics and reentrant phase transition for logarithmic nonlinear charged black holes in massive gravity
• 21 cm power spectrum in interacting cubic Galileon model
• Phantom-Like Behavior in Modified Teleparallel Gravity
• Homogeneous Instantons in Bigravity
• Effective Matter Cosmologies of Massive Gravity I: Non-Physical Fluids
• Aether-quasi-dilaton massive gravity
• First and second order cosmological perturbations in light mass Galileon models
• Black hole perturbation under 2 + 2 decomposition in the action
• Massive vector field perturbations on extremal and near-extremal static black holes
• Gravitational radiation from binary systems in $f(R)$ gravity: A semi-classical approach
• Entanglement Wedge Minimum Cross-Section for Holographic Aether Gravity
• Thin-Shells and Thin-Shell Wormholes in New Massive Gravity
• De Sitter vacua in ghost-free massive gravity theory
• GEMS embeddings and freely falling temperatures of Schwarzschild(-AdS) black holes in massive gravity
• On the uniqueness of ghost-free special gravity
• Heat kernel coefficients for massive gravity
• Black Holes in Multi-Metric Gravity
• Galaxy cluster constraints on the coupling to photons of low-mass scalars
• Brane induced gravity: Ghosts and naturalness
• Three-dimensional AdS black holes in massive-power-Maxwell theor
• Massive spin three-half field in a constant electromagnetic background
• Field Sources for $f(R,R_{\mu \nu })$ Black-Bounce Solutions: The Case of K-Gravity
• Gravitational waves in massive gravity: Waveforms generated by a particle plunging into a black hole and the excitation of quasinormal modes and quasibound states
• Ghost-free completion of an effective matter coupling in bimetric theory
• Characteristics of interaction between Gravitons and Photons
• Fundamental Physics and Cosmology with TianQin
• Cosmology of Massive Gravity and its Extensions
• To Half--Be or Not To Be?
• On the 6th Mode in Massive Gravity
• Consistency of Cubic Galileon Cosmology: Model-Independent Bounds from Background Expansion and Perturbative Analyses
• Algebraic Properties of Einstein Solutions in Ghost-Free Bimetric Theory
• Stuckelberg SUSY QED and Infrared Problem
• Non-linearly ghost-free higher curvature gravity
• Cosmology of Dirac-Born-Infeld dRGT massive gravity
• Aller guten Dinge sind drei: Cosmology with three interacting spin-2 fields
• Spontaneous Conformal Symmetry Breaking and Quantum Quadratic Gravity
• Cosmological perturbation and matter power spectrum in bimetric massive gravity
• No hair theorem in quasi-dilaton massive gravity
• Degravitation of the Cosmological Constant in Bigravity
• Matching the linear spectra of twinlike defects
• New Quasidilaton theory in Partially Constrained Vielbein Formalism
• Proca-stinated Cosmology I: A N-body code for the vector Galileon
• Bigravity and Horndeski gravity connected by a disformal coupling
• Unveiling the Effects of Coupling Extended Proca-Nuevo Gravity on Cosmic Expansion with Recent Observations
• Gravitomagnetism in Massive Gravity
• Waveforms produced by a scalar point particle plunging into a Schwarzschild black hole: Excitation of quasinormal modes and quasibound states
• Gauge symmetry and constraints structure in topologically massive AdS gravity: A symplectic viewpoint
• Non-minimal Energy-momentum squared gravity
• Massive tensor field perturbations on extremal and near-extremal static black holes
• Cosmological Dynamics of D-BIonic and DBI Scalar Field and Coincidence Problem of Dark Energy
• Massive graviton dark matter searches with long-baseline atom interferometers
• Symmetries, Spin-2 Scattering Amplitudes, and Equivalence theorems in Warped Five-Dimensional Gravitational Theories
• Aberration of gravitational waveforms by peculiar velocity
• Comments on scattering in massive gravity, vDVZ and BCFW
• Cosmology with higher-derivative matter fields
• i-SPin 2: An integrator for general spin-s Gross-Pitaevskii systems
• Massive "spin-2" theories in arbitrary $D\ge 3$ dimensions
• Constraints on Quasi-dilaton Massive Gravity
• Massive gravitational waves in Chern-Simons modified gravity
• Cosmology in theories with derivative matter coupling
• Cosmology of a higher derivative scalar theory with non-minimal Maxwell coupling
• Charged dilatonic black holes in dilaton-massive gravity
• Static spheres and Aschenbach effect for black holes in massive gravity
• Goldstino condensation at large N
• Graviton-photon oscillation in alternative theories of gravity
• Relativistic stars in mass-varying massive gravity
• Physical Implications of Pure Lovelock Geometry on Stellar Structure
• Constraining some $r^{-n}$ extra-potentials in modified gravity models with LAGEOS-type laser-ranged geodetic satellites
• Leakage of gravitational waves into an extra dimension in the DGP model
• Unraveling the nature of Gravity through our clumpy Universe
• FeynGrav 3.0
• A remarkably simple theory of 3d massive gravity
• Massive spin-2 particles in a curved background via a nonsymmetric tensor
• Anisotropy in constraint 4D Gauss-Bonnet gravity
• A note on inflation in dRGT massive gravity
• Canonical Quantization of Massive Symmetric Rank-Two Tensor in String Theory
• Extended minimal theories of massive gravity
• Non-Relativistic Anti-Snyder Model and Some Applications
• Gravity with antisymmetric components
• Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity
• Analytical expression for a class of spherically symmetric solutions in Lorentz breaking massive gravity
• Slowly-Rotating Neutron Stars in Massive Bigravity
• Absence of a Vainshtein radius in torsion bigravity
• Tensor spectrum of turbulence-sourced gravitational waves as a constraint on graviton mass
• Subtleties in constraining gravity theories with mass-radius data
• Post-Newtonian Binary Dynamics in Effective Field Theory of Horndeski Gravity
• Cosmological Study in Myrzakulov $F(R,T)$ Quasi-dilaton Massive Gravity
• On covariant expansion of the gravitational Stückelberg trick
• Gravitational-wave energy and other fluxes in ghost-free bigravity
• Dark Energy and Inflation with Volume Normalized Action
• Cosmological model due to dimensional reduction of higher-dimensional massive gravity theory
• Linearized gravity in terms of differential forms
• Pole-skipping for massive fields and the Stueckelberg formalism
• Gravitational Waves on Charged Black Hole Backgrounds in Modified Gravity
• Hamilton-Jacobi Approach to Holographic Renormalization of Massive Gravity
• A Critique of Covariant Emergent Gravity
• Graviton Mass Bounds in Very Special Relativity from Binary Pulsar's Gravitational Waves
• Probing Particle Physics with Gravitational Waves
• Cosmological Time Crystals From Einstein-Cubic Gravities
• Extreme parameter sensitivity in quasidilaton massive gravity
• Nonlinear power spectrum in clustering and smooth dark energy models beyond the BAO scale
• Symmetric vs. chiral approaches to massive fields with spin
• Multimetric Finsler Geometry
• Review on tests of General Relativity And Modified Gravity Using Pulsar Timing
• Thermodynamics of charged black holes in Maxwell-dilaton-massive gravity
• Axionic extension of the Proca action
• Vainshtein mechanism in massive gravity nonlinear sigma models
• Untangling the spin of a dark boson in $Z$ decays
• Theory of interacting vector dark energy and fluid
• Effects of dark energy and flat rotation curve on the gravitational time delay of particle with non-zero mass
• Pulsar timing and polarimetry: results and perspectives
• Testing the Wave-Particle Duality of Gravitational Wave Using the Spin-Orbital-Hall Effect of Structured Light
• Cosmic acceleration via derivative matter couplings
• Completing the dark matter solutions in degenerate Kaluza-Klein theory
• Einstein's Geometrical Versus Feynman's Quantum-Field Approaches to Gravity Physics: Testing by Modern Multimessenger Astronomy
• Massive gravity solution of Black Holes and Entropy Bounds
• Cosmology on a cosmic ring
• Dynamical torsion gravity backgrounds
• THESEUS$-$BTA cosmological tests using Multimessenger Gamma-Ray Bursts observations
• Note on massless and partially massless spin-2 particles in a curved background via a nonsymmetric tensor
• Extended Phase Space Thermodynamics of Black Holes in Massive Gravity
• Black holes in massive Einstein-dilaton gravity
• Strings in Bimetric Spacetimes
• Probing Fundamental Physics with Gravitational Waves
• Pulsar tests of the graviton mass
• Structural stability of spherical horizons
• Constraint Algebra in Bigravity
• Screening fifth forces in scalar-vector-tensor theories
• Testing the variation of the fine structure constant with strongly lensed gravitational waves
• Cosmology with Higher-Derivative Gravities
• Connecting Inflation to the NANOGrav 15-year Data Set via Massive Gravity
• Estimating the strength of Lorentzian distribution in non-commutative geometry by solar system tests
• SO(4; 2) and derivatively coupled dRGT massive gravity
• Unusual square roots in the ghost-free theory of massive gravity
• On Planetary Orbits in Entropic Gravity
• Waveforms in massive gravity and neutralization of giant black hole ringings
• On strong coupling scales in (minimal) massive gravity
• Constraints on a fifth force from the stellar orbits around the central supermassive black hole of the Milky Way
• Tighter bounds on a hypothetical graviton screening mass from the gravitational wave observation GW150914 at LIGO
• Gravitational Coupling, Dynamical Changes of Units and The Cosmological Constant Problem
• Massive gravitons on the Landscape and the AdS Distance Conjecture
• Effective Matter Cosmologies of Massive Gravity: Physical Fluids
• Cosmology in $R^2$-gravity: Effects of a Higher Derivative Scalar Condensate Background
• On scale-free extensions of massive (bi-)gravity
• Massive spin-2 particles via embedment of the Fierz-Pauli equations of motion
• Inequivalence of Coset Constructions for Spacetime Symmetries: Coupling with Gravity
• Gravitational Higgs mechanism in inspiraling scalarized NS-WD binary
• Nonlocal Galileons and Self-Acceleration
• Aspects of time evolution in $p$-form field theories
• Generation of effective massive Spin-2 fields through spontaneous symmetry breaking of scalar field
• Black Holes in Multi-Metric Gravity II: Hairy Solutions and Linear Stability of the Non- and Partially Proportional Branches
• On five-dimensional massive (bi-)gravity
• Constrained dynamics of two interacting relativistic particles in the Faddeev-Jackiw symplectic framework
• Galileon Radiation from a Spherical Collapsing Shell
• $\gamma$-ray emission signals in the massive graviton mediated dark matter model
• Spinning Guest Fields during Inflation: Leftover Signatures
• Recent bounds on graviton mass using galaxy clusters
• Equatorial orbits and imaging of hairy cubic Galileon black holes
• Possible Derivative Interactions in Massive bi-Gravity
• Spherical particle orbits around a rotating black hole in massive gravity
• Weyl and transverse diffeomorphism invariant spin-2 models in D=2+1
• Cheeger bounds on spin-two fields
• All actions for free massive higher-spin fields
• Analytical constraints on bimetric gravity
• Magnetic Brane of Cubic Quasi-Topological Gravity in the Presence of Maxwell and Born-Infeld Electromagnetic Field
• Pre-heating in the framework of massive gravity
• More on dual actions for massive spin-2 particles
• Translation invariant time-dependent massive gravity: Hamiltonian analysis
• A solution of the van Dam-Veltman-Zakharov discontinuity problem in the frame of the Poincare-covariant field gravitation theory
• Stability of Differentially Rotating Disks in $f(T)$ Theory
• Graviton mass constraint from CMB
• Hamiltonian analysis and positivity of a new massive spin-2 model
• Data Analysis of Massive Gravitational Waves from Gamma Ray Bursts
• Absence of gravitational polarization mechanism in the canonical bimetric theory
• Gravitational ringdown in the Minimal Theory of Massive Gravity
• Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity
• The $\mu$-deformed Einstein field equations with $\mu$-dependent effective cosmological constant
• Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
• GR-GSG Hybrid Gravity
• Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries
• Cosmology in warped massive gravity
• New Exceptional EFTs in de Sitter Space from Generalised Energy Conservation
• Cosmology of Quasi-Dilaton Massive Gravity with Non-minimal Kinetic Coupling
• Dynamical 4-D Gauss-Bonnet action from matter-graviton interaction at one-loop
• Braneworld sum rules and positive tension branes in a massive gravity
• Dynamical mass generation of spin-2 fields in de Sitter space for an $O(N)$ symmetric model at large $N$
• 5-Dimensional Chern-Simons Gauge Theory on an Interval: Massive Spin-2 Theory from Symmetry Breaking via Boundary Conditions
• Gauge generator for bi-gravity and multi-gravity models
• $O(d,d;\mathbb{Z})$ invariant Fierz-Pauli massive gravity
• Searching for the dark sector in two-body anti-muon decay with the polarization of monochromatic positrons
• A braneworld model in a massive gravity
• A link between ghost-free bimetric and Eddington-inspired Born-Infeld theory
• Multiscalar-metric gravity: cosmological constant screening and emergence of massive-graviton dark components
• Scattering Amplitudes for Binary Systems beyond GR
• Linear growth of structure in massive gravity
• Gravitational wave propagation beyond general relativity: waveform distortions and echoes
• Tuning the Cosmological Constant, Broken Scale Invariance, Unitarity
• Topological charge and black hole photon spheres in massive gravity
• Spin-spin Interactions in General Relativity versus Linearized Massive Gravity: $N$-body Simulations
• Equivalence of two solutions of physical massive gravity
• Remove point-mass concept-remove singularities from GR
• A local quantum Mach principle and the metricity of spacetime
• Massive Gravitons on Bohmian Congruences
• A Tale of Two Scales: Screening in Large Scale Structure
• Particle Cosmology
• Massive Gravity: A Lorentz-Symmetric Aether
• A note on the uniqueness of the dRGT massive gravity theory
• Spontaneous Compactification of Bimetric Theory
• On the Lapse Function of FLRW Accelerated Expanding Universe in dRGT Massive Gravity Theory
• Towards a gauge theory of frames
• Historical and Philosophical Insights about General Relativity and Space-time from Particle Physics
• Higher-Dimensional Minimal Theory of Mass-Varying Massive Gravity And Its Cosmological Consequences
• Testing the mass of the graviton with Bayesian planetary numerical ephemerides B-INPOP
• Thermalon mediated AdS to dS phase transitions in Einstein-Gauss-Bonnet-massive gravity
• LHC constraints on hidden gravitons
• Resonances, black hole mimickers and the greenhouse effect: consequences for gravitational-wave physics
• Positivity vs. Lorentz-violation: an explicit example
• Absence of the Higuchi bound in a family of alternative linear massive spin-2 models
• Theories of Massive Gravity in 2+1 Dimensions
• Polarized solitons in higher-spin wave dark matter
• Dark energy and non-linear power spectrum
• Quantum Phase Space Description of a Cosmological Minimal Massive Bigravity Model
• Relativistic star solutions in Mass-varying Massive Gravity with a diagonal metric
• Cosmology and Non-additive Entropy
• The Canonical Structure of Bigravity
• Exploring extra dimensions with scalar waves
• Multigravity and the cosmological constant
• Accelerated expansion as manifestation of gravity: when Dark Energy belongs to the left
• Investigating Graviton Mass Effects on Black Hole Lensing in dRGT Massive Gravity
• Algebraic aspects of massive gravity
• Interpreting gravitational fields of Topologically Massive Gravity using geodesic deviation
• Diffeomorphism Invariance Breaking in Gravity and Cosmological Evolution
• Cherenkov radiation as ghost instability
• Spatial Correlation between Pulsars from Interfering Gravitational-Wave Sources in Massive Gravity
• Lorentz breaking terms from Einstein gravity
• Effective Fluid FLRW Cosmologies of Minimal Massive Gravity
• Geometrical effective actions for a partially massless spin-2 field
• Categorical generalization of BF theory coupled to gravity
• Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms
• Milgrom's Law and Lambda's Shadow: How Massive Gravity Connects Galactic and Cosmic Dynamics
• Linearized transverse diffeomorphism invariant spin-2 theories via gauge invariants
• Multi-messenger lensing time delay as a probe of the graviton mass
• Ghost-free higher order gravity from bi-gravity