Massive Gravity

2014/01/16 by Claudia de Rham · 1 voice · 118 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #hep-th

paper · pdf · doi:10.12942/lrr-2014-7

published as Living Rev. Relativity 17 (2014), 7 · 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

arxiv created 2014/03/14 · openalex publication_date 2014/08/25 · arxiv updated 2014/08/27 · openalex created_date 2020/07/02 · openalex updated_date 2026/07/30

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.

Citations

• Lorentz-violating graviton masses: getting around ghosts, low strong coupling scale and VDVZ discontinuity
• Three-Dimensional Gravity Revisited
• Stable Self-Interacting Pais-Uhlenbeck Oscillator
• Noncausality and Other Defects of Interaction Lagrangians for Particles with Spin One and Higher
• Degravitation of the Cosmological Constant and Graviton Width
• On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
• ICTP Lectures on Large Extra Dimensions
• A new proof of the positive energy theorem
• Nonlinear higher spin theories in various dimensions
• An introduction to the Vainshtein mechanism
• Causality, Analyticity and an IR Obstruction to UV Completion
• Massive and mass-less Yang-Mills and gravitational fields
• The galileon as a local modification of gravity
• Gravitational Energy in Quadratic-Curvature Gravities
• Higher-derivative Lagrangians, nonlocality, problems, and solutions
• Covariant Galileon
• Topologically massive gauge theories
• Self-healing of unitarity in effective field theories and the onset of new physics

Cited by

• Tests of General Relativity with Einstein Telescope
• Stellar Bounds on Light Spin-2 Particles in Bimetric Theories
• Effective Theory for Light Portal Dark Matter Detection
• Global stability of ghostly field theories: Classical scattering in (N+1) dimensions
• New formalism for perturbations of massive gravity theories around arbitrary background spacetimes
• Hawking-Page transition in anti-de Sitter massive gravity with non-compact spatial boundary
• Cosmology in warped massive gravity
• Zeroth law of black hole thermodynamics for higher derivative Proca theories
• Extrapolating the massive fields to future timelike infinity
• Oscillations and parity violation in gravitational wave background from extra tensor modes
• Traversable Wormhole Solutions in massive F(T) gravity
• The Milky Way and M31 rotation curves in Yukawa gravity: phenomenology and Bayesian analysis
• Massive Galileon Positivity Bounds
• Can Static Black Holes in Massive Gravity Serve as Candidates for Aschenbach-Like Phenomena?
• Stable Cosmology from Minimal Theory of Mass-Varying Massive Gravity
• The Confrontation between General Relativity and Experiment
• Massive gravitons on the Landscape and the AdS Distance Conjecture
• Suppressed Intrinsic Curvature Gravity
• An Open System Approach to Gravity
• Review on tests of General Relativity And Modified Gravity Using Pulsar Timing
• UV properties of Galileons: Spectral Densities
• Transverse diffeomorphism invariant spin-2 theories via gauge invariants
• Multigravity and the cosmological constant
• Spatial Correlation between Pulsars from Interfering Gravitational-Wave Sources in Massive Gravity
• New Exceptional EFTs in de Sitter Space from Generalised Energy Conservation
• Accelerated expansion as manifestation of gravity: when Dark Energy belongs to the left
• Lectures on the Cosmological Constant Problem
• Gravitational-wave tests of general relativity with ground-based detectors and pulsar-timing arrays
• An apologia for islands
• Investigating Graviton Mass Effects on Black Hole Lensing in dRGT Massive Gravity
• Testing the mass of the graviton with Bayesian planetary numerical ephemerides B-INPOP
• Can metric-affine gravity be saved?
• Dynamical Dark Energy Emerges from Massive Gravity
• A systematic approach to generalisations of General Relativity and their cosmological implications
• Graviton mass constraint from CMB
• From Lovelock to Horndeski's generalised scalar-tensor theory
• CANDI data and settings
• Eddington-inspired Born-Infeld gravity: Constraints from the generalized parton distributions (GPDs)
• Multi-Galileons in Curved Space
• Probing Particle Physics with Gravitational Waves
• No hair theorem in quasi-dilaton massive gravity
• Algebraic aspects of massive gravity
• Cosmology with moving bimetric fluids
• Massive spin-2 particles via embedment of the Fierz–Pauli equations of motion
• Testing General Relativity in Cosmology
• Constrained dynamics of two interacting relativistic particles in the Faddeev-Jackiw symplectic framework
• Graviton mass bounds
• Long range effects in gravity theories with Vainshtein screening
• Angular momentum generation from holographic Chern-Simons models
• Rotating stars in relativity
• Cosmological tests of modified gravity
• Testing General Relativity with Present and Future Astrophysical Observations
• Holographic Josephson junction from massive gravity
• Fundamental fields around compact objects: Massive spin-2 fields,\n Superradiant instabilities and Stars with dark matter cores
• Waveforms in massive gravity and neutralization of giant black hole ringings
• Different Ways to Estimate Graviton Mass
• Self-accelerating massive gravity: Superluminality, Cauchy surfaces, and strong coupling
• High-dimensional Lifshitz-type spacetimes, universal horizons, and black holes in Hořava-Lifshitz gravity
• Interacting spin-2 fields in three dimensions
• Kinetic mixing in scalar-tensor theories of gravity
• Nonlinear dynamical stability of infrared modifications of gravity
• Rotating (A)dS black holes in bigravity
• Symmetries from locality. II. Gravitation and Lorentz boosts
• Relativistic stars in de Rham-Gabadadze-Tolley massive gravity
• Oscillons in higher-derivative effective field theories
• Cosmological viability of massive gravity with generalized matter coupling
• On consistent kinetic and derivative interactions for gravitons
• Constraints on bimetric gravity. Part I. Analytical constraints
• Noncommutative gravity with self-dual variables
• Stability of massive gravity solutions for holographic conductivity
• Quantum corrections for the cubic Galileon in the covariant language
• Misner-Sharp mass and the unified first law in massive gravity
• Cosmic expansion parametrization: Implication for curvature and H₀ tension
• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Transverse diffeomorphism and Weyl invariant massive spin 2: Linear theory
• Dynamical behavior in mimeticF(R) gravity
• Cosmology of bigravity with doubly coupled matter
• Tests of gravity with future space-based experiments
• Covariant constraints for generic massive gravity and analysis of its characteristics
• Dark matter via massive bigravity
• On couplings to matter in massive (bi-)gravity
• From a locality-principle for new physics to image features of regular spinning black holes with disks
• Generalized disformal coupling leads to spontaneous tensorization
• Coupling between Galileon and massive gravity with composite metrics
• Rotating black holes in massive gravity
• Regularization of instabilities in gravity theories
• Analysis of accretion disk around a black hole in dRGT massive gravity
• Ghosts and matter couplings in massive gravity, bigravity and multigravity
• On the curious spectrum of duality invariant higher-derivative gravity
• Black Hole Solutions in Gauss‐Bonnet‐Massive Gravity in the Presence of Power‐Maxwell Field
• Integrated Sachs-Wolfe effect in massive bigravity
• Pulsar tests of the graviton mass
• Astrophysical probes of the Vainshtein mechanism: Stars and galaxies
• Cosmology and perturbations in tachyonic massive gravity
• Generalized elastic positivity bounds on interacting massive spin-2 theories
• Novel nonlinear kinetic terms for gravitons
• Effective field theory of broken spatial diffeomorphisms
• Hawking-Page transition in holographic massive gravity
• Asymptotic safety, the Higgs boson mass, and beyond the standard model physics
• Ghostfree quadratic curvature theories with massive spin-2 and spin-0 particles
• Linear growth of structure in massive bigravity
• Searching for the dark sector in two-body antimuon decay with the polarization of monochromatic positrons
• Massive graviton geons
• Ghost free massive gravity with singular reference metrics
• Nonlinearly charged black hole chemistry with massive gravitons in the grand canonical ensemble
• Theseus–BTA Cosmological Crucial Tests Using Multimessenger Gamma-Ray Bursts Observations
• Van der Waals like behavior of topological AdS black holes in massive gravity
• Universal bound on the strong coupling scale of a gravitationally coupled massive spin-2 particle
• Gravitational effects of disformal couplings
• Tensor squeezed limits and the Higuchi bound
• A local quantum Mach principle and the metricity of spacetime
• Exploring extra dimensions with scalar waves
• Observational constraints on f(T) gravity from varying fundamental constants
• Massive graviton dark matter with environment dependent mass: A natural explanation of the dark matter-baryon ratio
• Global structure of static spherically symmetric solutions surrounded by quintessence
• Holographic thermalization and generalized Vaidya-AdS solutions in massive gravity
• Gravitational Baryogenesis in Extended Proca-Nuevo Gravity
• Lightening gravity-mediated dark matter
• Primordial Stochastic Gravitational Waves from Massive Higher-Spin Bosons

Discussions

• Here is a woefully incomplete and probably biased attempt to give a crash course on Galileons. I'll also just state up front my knowledge is a little out of date (my serious following of this story en [stackexchange, 7 points]

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