Aspects of general higher-order gravities

Abstract

We study several aspects of higher-order gravities constructed from general contractions of the Riemann tensor and the metric in arbitrary dimensions. First, we use the fast-linearization procedure presented in arXiv:1607.06463 to obtain the equations satisfied by the metric perturbation modes on a maximally symmetric background in the presence of matter and to classify $\mathcal{L}($Riemann$)$ theories according to their spectrum. Then, we linearize all theories up to quartic order in curvature and use this result to construct quartic versions of Einsteinian cubic gravity (ECG). In addition, we show that the most general cubic gravity constructed in a dimension-independent way and which does not propagate the ghost-like spin-2 mode (but can propagate the scalar) is a linear combination of $f($Lovelock$)$ invariants, plus the ECG term, plus a New ghost-free gravity term. Next, we construct the generalized Newton potential and the Post-Newtonian parameter $\gamma$ for general $\mathcal{L}($Riemann$)$ gravities in arbitrary dimensions, unveiling some interesting differences with respect to the four-dimensional case. We also study the emission and propagation of gravitational radiation from sources for these theories in four dimensions, providing a generalized formula for the power emitted. Finally, we review Wald's formalism for general $\mathcal{L}($Riemann$)$ theories and construct new explicit expressions for the relevant quantities involved. Many examples illustrate our calculations.

arXiv comment83 pages, 3 figures, 4 tables; v2: minor modifications to match published version, references added

References in corpus (95)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• Extended Theories of Gravity
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Gauss-Bonnet Black Holes in AdS Spaces
• Massive Gravity in Three Dimensions
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• On Black Hole Entropy
• Holographic c-theorems in arbitrary dimensions
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• The Cosmology of Generalized Modified Gravity Models
• Viscosity Bound Violation in Higher Derivative Gravity
• Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
• Gravitation from Entanglement in Holographic CFTs
• Energy in Generic Higher Curvature Gravity Theories
• A comparison of Noether charge and Euclidean methods for Computing the Entropy of Stationary Black Holes
• Seeing a c-theorem with holography
• Holographic GB gravity in arbitrary dimensions
• Holographic Entanglement Entropy for General Higher Derivative Gravity
• The Cosmology of Modified Gauss-Bonnet Gravity
• Black Holes in Quasi-topological Gravity
• Surface charge algebra in gauge theories and thermodynamic integrability
• Black Holes in Higher-Derivative Gravity
• Critical Gravity in Four Dimensions
• Generalized entropy and higher derivative Gravity
• Lanczos-Lovelock models of gravity
• Dimensionally Continued Black Holes
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Holographic studies of quasi-topological gravity
• Einsteinian cubic gravity
• Einstein Gravity from Conformal Gravity
• The Lovelock Black Holes
• Spherically Symmetric Solutions in Higher-Derivative Gravity
• Aspects of Quadratic Gravity
• Causality of Holographic Hydrodynamics
• Stability of Black Holes and Black Branes
• Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity
• Universality of corner entanglement in conformal field theories
• Gauss-Bonnet Black Holes in dS Spaces
• AdS_7/CFT_6, Gauss-Bonnet Gravity, and Viscosity Bound
• Critical Points of D-Dimensional Extended Gravities
• A Lifshitz Black Hole in Four Dimensional R^2 Gravity
• Four-dimensional black holes in Einsteinian cubic gravity
• Analytic Lifshitz black holes in higher dimensions
• Stability of spherically symmetric solutions in modified theories of gravity
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Black holes in Einsteinian cubic gravity
• Symplectic and Killing Symmetries of AdS${}_3$ Gravity: Holographic vs Boundary Gravitons
• Causality in AdS/CFT and Lovelock theory
• The dynamical structure of higher dimensional Chern-Simons theory
• A Second Law for Higher Curvature Gravity
• Note on New Massive Gravity in $Ad{S}_3$
• Black Holes in (Quartic) Quasitopological Gravity
• Lovelock Gravity at the Crossroads of Palatini and Metric Formulations
• Higher-Derivative Corrections to the Asymptotic Virasoro Symmetry of 4d Extremal Black Holes
• Entanglement entropy across a deformed sphere
• Palatini versus metric formulation in higher curvature gravity
• Corner contributions to holographic entanglement entropy
• Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities
• Symmetries and conservation laws in Lagrangian gauge theories with applications to the mechanics of black holes and to gravity in three dimensions
• On Newtonian singularities in higher derivative gravity models
• A Lovelock black hole bestiary
• Higher Derivative Gravity and Conformal Gravity From Bimetric and Partially Massless Bimetric Theory
• Solution Phase Space and Conserved Charges: A General Formulation for Charges Associated with Exact Symmetries
• On the cancellation of Newtonian singularities in higher-derivative gravity
• Quadrupolar gravitational radiation as a test-bed for f(R)-gravity
• Canonical and gravitational stress-energy tensors
• Horizon entropy and higher curvature equations of state
• D3-branes on the Coulomb branch and instantons
• Generalized second law at linear order for actions that are functions of Lovelock densities
• All unitary cubic curvature gravities in D dimensions
• Some aspects of field equations in generalised theories of gravity
• Gravitational Positive Energy Theorems from Information Inequalities
• Liouville theory beyond the cosmological horizon
• Energy and Angular Momentum in Generic F(Riemann) Theories
• Smarr Formula for Lovelock Black Holes: a Lagrangian approach
• String Corrections to the Holographic RG Flow of Supersymmetric SU(N) x SU(N+M) Gauge Theory
• f(Lovelock) theories of gravity
• Black holes in five-dimensional Palatini $f(R)$ gravity and implications for the AdS/CFT correspondence
• Criticality in Einstein-Gauss-Bonnet Gravity: Gravity without Graviton
• Revisiting Conserved Charges in Higher Curvature Gravitational Theories
• Particle Content of Quadratic and $f(R_{\mu \nu \sigma \rho })$ Theories in $(A)dS$
• Homogeneous cosmologies in generalized modified gravity
• Higher derivative effects for 4d AdS gravity
• Minimal Extension of Einstein's Theory: The Quartic Gravity
• Higher derivative gravity: field equation as the equation of state
• Palatini-Lovelock-Cartan Gravity - Bianchi Identities for Stringy Fluxes
• Monopole radiation in modified gravity
• Critical Higher Order Gravities in Higher Dimensions
• Massive Gravity from Higher Derivative Gravity with Boundary Conditions
• Quadratic Palatini gravity and stable black hole remnants

Cited by in corpus (83)

• Generalized quasi-topological gravity
• (Generalized) quasi-topological gravities at all orders
• On black holes in higher-derivative gravities
• All higher-curvature gravities as Generalized quasi-topological gravities
• Towards geometric inflation: the cubic case
• Universal Lowest-Twist in CFTs from Holography
• Universal black hole stability in four dimensions
• Universality of squashed-sphere partition functions
• On four-dimensional Einsteinian gravity, quasitopological gravity, cosmology and black holes
• Generalized quasi-topological gravities: the whole shebang
• NUTs and bolts beyond Lovelock
• Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity
• Higher-order theories of gravity: diagnosis, extraction and reformulation via non-metric extra degrees of freedom
• Casimir effect in quadratic theories of gravity
• A note on the absence of $R^2$ corrections to Newton's potential
• Casimir effect in Post-Newtonian Gravity with Lorentz-violation
• Bounce Universe and Black Holes from Critical Einsteinian Cubic Gravity
• Regular black holes inspired by quasi-topological gravity
• Conserved Charges in Extended Theories of Gravity
• Casimir effect in Extended Theories of Gravity
• On the superstring-inspired quantum correction to the Starobinsky model of inflation
• Black Hole Multipoles in Higher-Derivative Gravity
• Komar integrals for theories of higher order in the curvature and black-hole chemistry
• Causality and a-theorem Constraints on Ricci Polynomial and Riemann Cubic Gravities
• Higher-curvature Gravities from Braneworlds and the Holographic c-theorem
• Aspects of Geometric Inflation
• Higher Curvature Gravity from Entanglement in Conformal Field Theories
• Universal Structure of Covariant Holographic Two-Point Functions In Massless Higher-Order Gravities
• Traversable wormholes in Einsteinian cubic gravity
• Lovelock action with nonsmooth boundaries
• Functional Renormalisation for $f(R_{\mu \nu \rho \sigma })$ Quantum Gravity
• Einstein Quartic Gravity: Shadows, Signals, and Stability
• Novel higher-curvature variations of $R^2$ inflation
• Dynamical wormholes in Lovelock gravity
• Notes on thermodynamics of Schwarzschild-like bumblebee black hole
• Nonlinear Evolution of Quadratic Gravity in 3+1 Dimensions
• Horizon Thermodynamics from Einstein's Equation of State
• Higher-derivative holography with a chemical potential
• Holographic Studies of The Generic Massless Cubic Gravities
• Noether-Wald charges in six-dimensional Critical Gravity
• Holographic entanglement entropy for perturbative higher-curvature gravities
• Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity
• Surface Charges Toolkit for Gravity
• On the viability of the evolution of the universe with Geometric Inflation
• Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes
• Holographic explorations of regular black holes in pure gravity
• Post-Newtonian parameter $\gamma$ and the deflection of light in ghost-free massive bimetric gravity
• Gravitational Lensing by Black Holes in Einstein Quartic Gravity
• Conformal bounds in three dimensions from entanglement entropy
• The extremal Kerr entropy in higher-derivative gravities
• Dark effects in $f(R,P)$ gravity
• Inflationary predictions of Geometric Inflation
• Quadratic gravity and conformally coupled scalar fields
• A unified geometric description of the Universe: from inflation to late-time acceleration without an inflaton nor a cosmological constant
• $Q$-curvature and gravity
• Slowly rotating black holes in Quasi-topological gravity
• Gravitational waves in conformal gravity
• Emergent Gravity in a Holographic Universe
• CFT correlators from shape deformations in Cubic Curvature Gravity
• Small free field inflation in higher curvature gravity
• Nonlocal Massive Gravity from Einstein Gravity
• Hidden Relations of Central Charges and OPEs in Holographic CFT
• Universal renormalization procedure for higher curvature gravities in D$\le$5
• Holographic (a,c)-charges and Their Universal Relation in d=6 from Massless Higher-order Gravities
• Higher order gravities and the Strong Equivalence Principle
• Quasi-topological Gravities on General Spherically Symmetric Metric
• Butterfly Velocity in Quadratic Gravity
• The curvature dependence of gravitational-wave tests of General Relativity
• Mass-induced instability of SAdS black hole in Einstein-Ricci cubic gravity
• Are there Einsteinian gravities involving covariant derivatives of the Riemann tensor?
• On the first law of entanglement for Quasi-Topological gravity
• Holographic Aspects of Quasi-topological Gravity
• Higher-Curvature Gravity, Black Holes and Holography
• Misner-Sharp Energy and P-V Criticality in Quasi-Topological Cosmology
• Energy of anti-de Sitter black holes in odd-dimensional Quadratic Curvature Gravity
• Constraining Cubic Curvature Corrections to General Relativity with Quasi-Periodic Oscillations
• Signatures of cubic gravity in the strong regime
• Non-Relativistic Fermion-Fermion Scattering in Higher Derivative Gravity
• $f(R)$ Gravity Effects on Charged Accelerating AdS Black Holes using Holographic Tools
• Entanglement entropy in cubic gravitational theories
• Effect of $R^2$ on the stability of de Sitter solution of the generalized Einsteinian cubic gravity
• Gravitational wave polarization modes and the kinematical tensors in general relativity and beyond
• Aspects of three-dimensional higher-curvature gravities