Theoretical Aspects of Massive Gravity

Abstract

Massive gravity has seen a resurgence of interest due to recent progress which has overcome its traditional problems, yielding an avenue for addressing important open questions such as the cosmological constant naturalness problem. The possibility of a massive graviton has been studied on and off for the past 70 years. During this time, curiosities such as the vDVZ discontinuity and the Boulware-Deser ghost were uncovered. We re-derive these results in a pedagogical manner, and develop the Stükelberg formalism to discuss them from the modern effective field theory viewpoint. We review recent progress of the last decade, including the dissolution of the vDVZ discontinuity via the Vainshtein screening mechanism, the existence of a consistent effective field theory with a stable hierarchy between the graviton mass and the cutoff, and the existence of particular interactions which raise the maximal effective field theory cutoff and remove the ghosts. In addition, we review some peculiarities of massive gravitons on curved space, novel theories in three dimensions, and examples of the emergence of a massive graviton from extra-dimensions and brane worlds.

141 pages. Expanded version of an article invited for Reviews of Modern Physics. v2 corrections, updated with new developments

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• The theory of symmetric tensor field: from fractons to gravitons and back
• Surfing gravitational waves: can bigravity survive growing tensor modes?
• Sum Rules for Massive Spin-2 Kaluza-Klein Elastic Scattering Amplitudes
• Novel relations in massive gravity at Hawking-Page transition
• Massive gravity and Fierz-Pauli theory
• WKB Approaches to Restore Time in Quantum Cosmology: Predictions and Shortcomings
• Gauging fractons and linearized gravity
• Tidal effects in Schwarzschild black hole in holographic massive gravity
• Constraints on a Gravitational Higgs Mechanism
• Testing General Relativity with Black Hole-Pulsar Binaries
• Can Chern-Simons or Rarita-Schwinger be a Volkov-Akulov Goldstone?
• Cosmology and Stability in Scalar-Tensor bigravity
• Constraints on massive gravity theory from big bang nucleosynthesis
• Hidden Ghost in Massive gravity
• The emergence of Special and Doubly Special Relativity
• Holographical aspects of dyonic black holes: Massive gravity generalization
• Conformal symmetry and nonlinear extensions of nonlocal gravity
• Constant-roll inflation in the generalized SU(2) Proca theory
• Scattering Amplitudes of Massive Spin-2 Kaluza-Klein States Grow Only as $\mathcal{O}(s)$
• Renormalization of generalized vector field models in curved spacetime
• Massive gravity, the elasticity of space-time and perturbations in the dark sector
• Spherically symmetric analysis on open FLRW solution in non-linear massive gravity
• Interpolating Between Asymptotic and Near Horizon Symmetries
• Structure of Kaluza-Klein Graviton Scattering Amplitudes from Gravitational Equivalence Theorem and Double-Copy
• Entanglement entropy and Page curve of black holes with island in massive gravity
• A Stueckelberg Approach to Quadratic Curvature Gravity and its Decoupling Limits
• Comments on (super)luminality
• Quantum Field Theory in a Multi-Metric Background
• Cosmological perturbations of massive gravity coupled to DBI Galileons
• Bimetric-Affine Quadratic Gravity
• Extracting Bigravity from String Theory
• Detectability of bigravity with graviton oscillations using gravitational wave observations
• Astrophysical Signatures of Black holes in Generalized Proca Theories
• Generalized Vaidya Solutions and Misner-Sharp mass for $n$-dimensional massive gravity
• Greybody factor for massive fermion emitted by a black hole in dRGT massive gravity theory
• Quasi Normal Modes and P-V Criticallity for scalar perturbations in a class of dRGT massive gravity around Black Holes
• New Kinetic Terms for Massive Gravity and Multi-gravity: A No-Go in Vielbein Form
• Classical and quantum theory of the massive spin-two field
• Opacity and Effective Field Theory in Anti-de Sitter Backgrounds
• Weak field deflection angle and analytical parameter estimation of the Lorentz-violating Bumblebee parameter through the black hole shadow using EHT data
• The decoupling limit of Multi-Gravity: Multi-Galileons, Dualities and More
• On the apparent loss of predictability inside the de-Rham-Gabadadze-Tolley non-linear formulation of massive gravity: The Hawking radiation effect
• Fierz-Pauli theory reloaded: from a theory of a symmetric tensor field to linearized massive gravity
• Gravity Theories with Background Fields and Spacetime Symmetry Breaking
• Off-Diagonal Ekpyrotic Scenarios and Equivalence of Modified, Massive and/or Einstein Gravity
• One-loop divergences in massive gravity theory
• Bigravity in Kuchar's Hamiltonian formalism. 1. The general case
• Non-local formulation of ghost-free bigravity theory
• The Astrophysical Scales Set by the Cosmological Constant, Black-Hole Thermodynamics and Non-Linear Massive Gravity
• Black Hole Remnant in Massive Gravity
• Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity's rainbow
• Charged black hole chemistry with massive gravitons
• Interacting spin-2 fields in three dimensions
• Partially Massless Monopoles and Charges
• Giant wormholes in ghost-free bigravity theory
• Structure of Chern-Simons Scattering Amplitudes from Topological Equivalence Theorem and Double-Copy
• Cosmological nonlinear structure formation in full general relativity
• Soft graviton exchange and the information paradox
• Spacetime Symmetry Breaking and Einstein-Maxwell Theory
• Hairy black holes in scalar extended massive gravity
• Stealth configurations in vector-tensor theories of gravity
• TDiff and Weyl Invariant Massive Spin-2: Linear Theory
• On dRGT massive gravity with degenerate reference metrics
• Stability and Spectrum of Compactifications on Product Manifolds
• Curvature perturbations of quasidilaton non-linear massive gravity
• Phase transition and entropic force of de Sitter black hole in massive gravity
• Bigravity in Kuchar's Hamiltonian formalism. 2. The special case
• Einstein's Equations for Spin $2$ Mass $0$ from Noether's Converse Hilbertian Assertion
• Chiral Closed strings: Four massless states scattering amplitude
• Astrophysical Gravitational Waves in Conformal Gravity
• Hawking-Moss instanton in nonlinear massive gravity
• The Big Constant Out, The Small Constant In
• Gravity with Explicit Diffeomorphism Breaking
• Classical Duals of Derivatively Self-Coupled Theories
• On Partially Massless Theory in 3 Dimensions
• Combining cosmological and local bounds on bimetric theory
• Gauge and global symmetries of the candidate partially massless bimetric gravity
• Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters
• Black hole solutions correspondence between conformal and massive theories of gravity
• Well-posedness of cubic Horndeski theories
• Thermodynamic topological classes of the rotating, accelerating black holes
• 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
• Phase transitions of black holes in massive gravity
• Testing long-distance modifications of gravity to 100 astronomical units
• Exploring the black hole spectrum of axionic Horndeski theory
• Completing Lorentz violating massive gravity at high energies
• Cutoff for Extensions of Massive Gravity and Bi-Gravity
• Rotating (A)dS black holes in bigravity
• Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow
• Cosmology in rotation-invariant massive gravity with non-trivial fiducial metric
• Quantum Stability of Generalized Proca Theories
• Cosmological implications of Rastall-$f(R)$ theory
• Gravitational Waves in Ghost Free Bimetric Gravity
• Properties of Bigravity Solutions in a Solvable Class
• Non-Einstein source effects in massive gravity
• Mass - radius ratio bounds for compact objects in Lorentz-violating dRGT Massive Gravity theory
• Graviton-photon production with a massive spin-2 particle
• Presymplectic structures and intrinsic Lagrangians for massive fields
• $K$-field kinks: stability, exact solutions and new features
• Weak lensing probe of cubic Galileon model
• Self-accelerating Universe in modified gravity with dynamical torsion
• Dual Massive Gravity
• Quark stars in massive gravity might be candidates for the mass gap objects
• Near-horizon quasinormal modes of charged scalar around a general spherically symmetric black hole
• Gravitational-wave polarizations in generic linear massive gravity and generic higher-curvature gravity
• Counterterms in Massive Gravity Theory
• Horndeski stars
• Observed galaxy power spectrum in cubic Galileon model
• Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
• On nonlocally interacting metrics, and a simple proposal for cosmic acceleration
• Static electromagnetic fields and charged black holes in general covariant theory of Horava-Lifshitz gravity
• Spin-2 KK Mode Scattering in Models with a Massive Radion
• Coupling between Galileon and massive gravity with composite metrics
• A note on Harmonic Gauge(s) in Massive Gravity
• Quasinormal modes of a massless Dirac field in de Rham-Gabadadze-Tolley massive gravity
• Einstein's Physical Strategy, Energy Conservation, Symmetries, and Stability: "but Grossmann & I believed that the conservation laws were not satisfied"
• Probing Screening and the Graviton Mass with Gravitational Waves
• Polycritical Gravities
• Quantization of nonlocal fractional field theories via the extension problem
• Effective theory for neutral resonances and a statistical dissection of the ATLAS diboson excess
• Braneworlds in $f(Q)$ gravity
• Kant, Schlick and Friedman on Space, Time and Gravity in Light of Three Lessons from Particle Physics
• Emergent Universe Scenario, Bouncing and Cyclic Universes in Degenerate Massive Gravity
• Equivalent off-diagonal cosmological models and ekpyrotic scenarios in f(R)-modified, massive and Einstein gravity
• Massive mimetic cosmology
• Kaluza-Klein Reduction of Massive and Partially Massless Spin-2 Fields
• Einstein static universe on the brane supported by extended Chaplygin gas
• Emergent Universe in the Braneworld Scenario
• Shift-Symmetric Spin-1 Theories
• A model independent parametrization of the late time cosmic acceleration: constraints on the parameters from recent observations
• Pseudo-Linear Spin-2 Interactions
• Massive gravity with Lorentz symmetry breaking: black holes as heat engines
• Oscillons in Higher-Derivative Effective Field Theories
• Matter Coupling in Massive Gravity
• The Black Hole Radiation in Massive Gravity
• Spontaneous symmetry breaking in the late Universe and glimpses of early Universe phase transitions à la baryogenesis
• Noether current from surface term, Virasoro algebra and black hole entropy in bigravity
• Coleman-de Luccia instanton in dRGT massive gravity
• Rotating black string in dRGT massive gravity
• A counter-top search for macroscopic dark matter
• UV Constraints on Massive Spinning Particles: Lessons from the Gravitino
• Perfect Fluid Spherically-Symmetric Solutions in Massive Gravity
• Superfluids and the Cosmological Constant Problem
• Constraint on the mass of graviton with gravitational waves
• Thermodynamics of de Sitter black hole in massive gravity
• Emergent gravity from hidden sectors and TT deformations
• Derivative interactions for a spin-2 field at cubic order
• Spin-Spin Interactions in Massive Gravity and Higher Derivative Gravity Theories
• Vainshtein Screening in Bimetric Cosmology
• Hamiltonian Analysis of 1+1 dimensional Massive Gravity
• Higgs decay into photons through a spin-2 loop
• A spectre is haunting the cosmos: Quantum stability of massive gravity with ghosts
• Energy-momentum tensors in linearized Einstein's theory and massive gravity: The question of uniqueness
• Structures in multiple spin-2 interactions
• The dimensional reduction of linearized spin-2 theories invariant under transverse diffeomorphisms
• Geometric Massive Gravity in Multi-Connection Framework
• Heavy Fields and Gravity
• An effective field theory of holographic dark energy
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
• Multimetric Supergravities
• Material models of dark energy
• 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
• A note on linearized "New Massive Gravity" in arbitrary dimensions
• Relations between positivity, localization and degrees of freedom: the Weinberg-Witten theorem and the van Dam-Veltman-Zakharov discontinuity
• Unitarity in KK-graviton production: A case study in warped extra-dimensions
• The Universe as a Cosmic String
• Black String in Massive Gravity
• Post-Newtonian parameter $\gamma$ and the deflection of light in ghost-free massive bimetric gravity
• On Consistent Kinetic and Derivative Interactions for Gravitons
• Gauged Galileons
• Time Dependent Geometry in Massive Gravity
• Very Special Linear Gravity: A Gauge-Invariant Graviton Mass
• Stability of Minkowski space in ghost-free massive gravity theory
• Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. I. General Consideration
• Cosmology in Brans-Dicke-de Rham-Gabadadze-Tolley massive gravity
• Non-Fefferman-Graham asymptotics and holographic renormalization in New Massive Gravity
• Note About Hamiltonian Formalism for General Non-Linear Massive Gravity Action in Stuckelberg Formalism
• Conserved chiral currents on the boundary of 3D Maxwell theory
• Spherically Symmetric Solutions in Massive Gravity and Constraints from Galaxies
• Universally Coupled Massive Gravity, II: Densitized Tetrad and Cotetrad Theories
• Noncommutative wormhole in de Rham-Gabadadze-Tolley like massive gravity
• Quantum effective action for degenerate vector field theories
• A Critical Assessment of Black Hole Solutions With a Linear Term in Their Redshift Function
• Neural post-Einsteinian framework for efficient theory-agnostic tests of general relativity with gravitational waves
• Emergent Cosmos in Einstein-Cartan Theory
• Effective theory for self-interacting dark matter and massive spin-2 mediators
• Galileons Coupled to Massive Gravity: General Analysis and Cosmological Solutions
• Quantum stability of Proca-Nuevo
• Massive AdS Supergravitons and Holography
• Holography of information in massive gravity using Dirac brackets
• Black holes in massive gravity: quasinormal modes of Dirac field perturbations
• Cosmological Perturbations of a Quartet of Scalar Fields with a Spatially Constant Gradient
• The imprint of superradiance on hierarchical black hole mergers
• Moving Stable Solitons in Galileon Theory
• Massive spin-2 particle from a rank-2 tensor
• Constraints on hidden gravitons from fifth-force experiments and stellar energy loss
• Nonlinearly Charged Black Hole Chemistry with Massive Gravitons in the Grand Canonical Ensemble
• Vaidya solution and its generalization in de Rham-Gabadadze-Tolley massive gravity
• On the degrees of freedom count on singular phase space submanifolds
• Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime
• Effective field theory from modified gravity with massive modes
• On plane wave solutions in Lorentz-violating extensions of gravity
• Horndeski fermion-boson stars
• Emergence of Riemannian geometry and the massive graviton
• Supersymmetric Massive Gravity
• Lorentz invariance violation and simultaneous emission of electromagnetic and gravitational waves
• Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
• A Cosmological Study in Massive Gravity theory
• Cosmology in time asymmetric extensions of general relativity
• Metamorphosis of the Cosmological Constant and 5D Origin of the Fiducial Metric
• Bose-Einstein graviton condensate in a Schwarzschild black hole
• Testing alternative theories of gravity with space-based gravitational wave detectors
• Thin-Shells and Thin-Shell Wormholes in New Massive Gravity
• On the Faddeev-Jackiw Symplectic Framework for Topologically Massive Gravity
• Novel nonlinear kinetic terms for gravitons
• Understanding diboson anomalies
• New symmetries in Fierz-Pauli massive gravity
• Renormalizable toy model of massive spin two field and new bigravity
• Challenges for Emergent Gravity
• First and second order cosmological perturbations in light mass Galileon models
• Homogeneous Instantons in Bigravity
• Characterization of quantum and classical correlations in the Earth curved space-time
• Massive vector field perturbations on extremal and near-extremal static black holes
• Black hole perturbation under 2 + 2 decomposition in the action
• Local free-fall temperatures of charged BTZ black holes in massive gravity
• GEMS embeddings and freely falling temperatures of Schwarzschild(-AdS) black holes in massive gravity
• Anisotropic Dyonic Black Brane and its Effects on Hydrodynamics
• Metric formulation of the simple theory of 3d massive gravity
• Holographic Fluids from 5D Dilaton Gravity
• Aether-quasi-dilaton massive gravity
• Strong-coupling scales and the graph structure of multi-gravity theories
• The Hamiltonian Form of Topologically Massive Supergravity
• De Sitter vacua in ghost-free massive gravity theory
• Thin-shell wormholes in de Rham-Gabadadze-Tolley massive gravity
• Gauge invariant and gauge fixed actions for various higher-spin fields from string field theory
• Gravitational radiation from binary systems in $f(R)$ gravity: A semi-classical approach
• Hall-like behaviour of higher rank Chern-Simons theory of fractons
• Characteristics of interaction between Gravitons and Photons
• Three-dimensional AdS black holes in massive-power-Maxwell theor
• Cosmology of Dirac-Born-Infeld dRGT massive gravity
• Asymptotically nonlocal gravity
• Ghost-free completion of an effective matter coupling in bimetric theory
• Non-linear Electrodynamics from Massive Gravity
• On the 6th Mode in Massive Gravity
• Heat kernel coefficients for massive gravity
• Black Holes in Multi-Metric Gravity
• On the stability of self-accelerating Universe in modified gravity with dynamical torsion
• Graviton mass due to dark energy as a superconducting medium: theoretical and phenomenological aspects
• On the uniqueness of ghost-free special gravity
• Degravitation of the Cosmological Constant in Bigravity
• Gravitational waves in massive gravity: Waveforms generated by a particle plunging into a black hole and the excitation of quasinormal modes and quasibound states
• Aller guten Dinge sind drei: Cosmology with three interacting spin-2 fields
• Exploring the presence of a fifth force at the Galactic Center
• No hair theorem in quasi-dilaton massive gravity
• Shift Symmetries for p-Forms and Mixed Symmetry Fields on (A)dS
• Gravitational Equivalence Theorem and Double-Copy for Kaluza-Klein Graviton Scattering Amplitudes
• Phantom cosmologies from QCD ghost dark energy
• Matching the linear spectra of twinlike defects
• Excluding a Generic Spin-2 Higgs Impostor
• Cosmology of Massive Gravity and its Extensions
• Polarization modes of gravitational waves in three-dimensional massive gravities
• On unitary subsectors of polycritical gravities
• Black hole solutions in theory of ModMax-dRGT-like massive gravity
• Cosmology with higher-derivative matter fields
• Massive "spin-2" theories in arbitrary $D\ge 3$ dimensions
• Gradient expansion of superhorizon perturbations in G-inflation
• Waveforms produced by a scalar point particle plunging into a Schwarzschild black hole: Excitation of quasinormal modes and quasibound states
• Massive tensor field perturbations on extremal and near-extremal static black holes
• Gravitomagnetism in Massive Gravity
• Comments on scattering in massive gravity, vDVZ and BCFW
• Topological dyonic black holes of massive gravity with generalized quasitopological electromagnetism
• Scattering Equations and Factorization of Amplitudes II: Effective Field Theories
• Symmetries, Spin-2 Scattering Amplitudes, and Equivalence theorems in Warped Five-Dimensional Gravitational Theories
• Translation invariant time-dependent solutions to massive gravity
• Improved constraints on violations of the Einstein equivalence principle in the electromagnetic sector with complementary cosmic probes
• Non-minimal Energy-momentum squared gravity
• Bigravity and Horndeski gravity connected by a disformal coupling
• Butterfly Velocity in Quadratic Gravity
• i-SPin 2: An integrator for general spin-s Gross-Pitaevskii systems
• Gauge symmetry and constraints structure in topologically massive AdS gravity: A symplectic viewpoint
• Superluminal Vector in Ghost-free Massive Gravity
• A note on the nonuniqueness of the massive Fierz-Pauli theory and spectator fields
• Renormalizability, vDVZ discontinuity and Newtonian singularity in higher-derivative gravity
• Charged dilatonic black holes in dilaton-massive gravity
• Massive spin-2 particles in a curved background via a nonsymmetric tensor
• Holographic entanglement from the UV to the IR
• Cosmology in theories with derivative matter coupling
• Massive Gravity with Anisotropic Scaling
• Relativistic stars in mass-varying massive gravity
• Static spheres and Aschenbach effect for black holes in massive gravity
• Canonical Quantization of Massive Symmetric Rank-Two Tensor in String Theory
• Constraints on Quasi-dilaton Massive Gravity
• Leakage of gravitational waves into an extra dimension in the DGP model
• Nonuniqueness of the Fierz-Pauli mass term for a nonsymmetic tensor
• A note on inflation in dRGT massive gravity
• Higher Derivative Theories for Interacting Massless Gravitons in Minkowski Spacetime
• Geons of Galileons
• Entropy spectrum of charged BTZ black holes in massive gravity's rainbow
• Anisotropy in constraint 4D Gauss-Bonnet gravity
• A remarkably simple theory of 3d massive gravity
• Gravity with antisymmetric components
• Considerations on the Graviton Excitation Modes of Horava-Lifshitz Gravity
• Translation invariant time-dependent solutions to massive gravity II
• Non-equilibrium dynamics in Holography
• FeynGrav 3.0
• Bose-Einstein condensation as an alternative to inflation
• Scale and Conformal Invariance on (A)dS
• Internal Supersymmetry and Small-field Goldstini
• Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity
• Pole-skipping for massive fields and the Stueckelberg formalism
• Cosmology of Spin-2 Fields
• Complexity growth of BTZ black hole in massive gravity with a null string
• Induced higher-derivative massive gravity on a 2-brane in 4D Minkowski space
• Cosmological Study in Myrzakulov $F(R,T)$ Quasi-dilaton Massive Gravity
• Linearized gravity in terms of differential forms
• Cosmological future singularities in massive gravity and massive bigravity
• Cosmological Time Crystals From Einstein-Cubic Gravities
• Constraint on the equation of state of strange quark star: Perturbative QCD along with a density-dependent bag constant
• A Critique of Covariant Emergent Gravity
• Dynamical diffeomorphisms
• Stability of self-accelerating Universe in modified gravity with dynamical torsion: the case of small background torsion
• On covariant expansion of the gravitational Stückelberg trick
• Massive spin-2 theories
• Dark energy as an elastic strain fluid
• Gödel-type Solutions in Cubic Galileon Gravity
• Spherical symmetry in a dark energy permeated space-time
• Probing Particle Physics with Gravitational Waves
• Hamilton-Jacobi Approach to Holographic Renormalization of Massive Gravity
• Minimal gauge invariant and gauge fixed actions for massive higher-spin fields
• Dark Energy and Inflation with Volume Normalized Action
• Nonlinear power spectrum in clustering and smooth dark energy models beyond the BAO scale
• Constraints on fourth order gravity from binary pulsar and gravitational waves
• Completing the dark matter solutions in degenerate Kaluza-Klein theory
• Gravity-Matter Sum Rules in models with a single extra-dimension
• Structure of $3D$ gravastars in the context of massive gravity
• Extended Phase Space Thermodynamics of Black Holes in Massive Gravity
• Modified gravity/entropic gravity correspondence due to graviton mass
• Can Massive Gravity Explain the Mass Discrepancy - Acceleration Relation of Disk Galaxies?
• Cosmological evolutions of $F(R)$ nonlinear massive gravity
• Untangling the spin of a dark boson in $Z$ decays
• Massive graviton on arbitrary background: derivation, syzygies, applications
• Thermodynamics of charged black holes in Maxwell-dilaton-massive gravity
• Composite Gravitons from Metric-Independent Quantum Field Theories
• Cosmology on a cosmic ring
• Note on massless and partially massless spin-2 particles in a curved background via a nonsymmetric tensor
• Unimodular gravity theory with external sources in a Lorentz-symmetry breaking scenario
• Constraining A String Gauge Field by Galaxy Rotation Curves and Perihelion Precession of Planets
• Massive gravity solution of Black Holes and Entropy Bounds
• Dualities Among Massive, Partially Massless and Shift Symmetric Fields on (A)dS
• Vainshtein mechanism in massive gravity nonlinear sigma models
• Axionic extension of the Proca action
• The Goldstone Equivalence Theorem and AdS/CFT
• Cosmic acceleration via derivative matter couplings
• Probing Fundamental Physics with Gravitational Waves
• Bi-Connected Gauss-Bonnet Gravity
• On strong coupling scales in (minimal) massive gravity
• Scalar Field in Massive BTZ Black Hole and Entanglement Entropy
• Black holes in massive Einstein-dilaton gravity
• Extended Nambu Models: their relation to gauge theories
• Tests of Classical Gravity with Radio Pulsars
• Topological Equivalence Theorem and Double-Copy for Chern-Simons Scattering Amplitudes
• Graviton Mixing
• Embeddings of the "New Massive Gravity"
• Waveforms in massive gravity and neutralization of giant black hole ringings
• The equivalence between Finsler and non-commutative geometries by massive gravity black hole
• Testing the variation of the fine structure constant with strongly lensed gravitational waves
• On scale-free extensions of massive (bi-)gravity
• Tighter bounds on a hypothetical graviton screening mass from the gravitational wave observation GW150914 at LIGO
• VSL-Gravity in light of PSR B1913+16 Full Data Set: Upper limits on graviton mass and its theoretical consequences
• Galileon Radiation from a Spherical Collapsing Shell
• Black Holes in Multi-Metric Gravity II: Hairy Solutions and Linear Stability of the Non- and Partially Proportional Branches
• Inflation and late time acceleration designed by Stueckelberg massive photon
• Generation of effective massive Spin-2 fields through spontaneous symmetry breaking of scalar field
• Aspects of time evolution in $p$-form field theories
• Excited states of holographic superconductors from massive gravity
• Gravitational Higgs mechanism in inspiraling scalarized NS-WD binary
• On five-dimensional massive (bi-)gravity
• What's inside a hairy black hole in massive gravity?
• Massive gravitons on the Landscape and the AdS Distance Conjecture
• Light front QED, Stueckelberg field and Infrared divergence
• Generalized interaction in multigravity
• Weyl and transverse diffeomorphism invariant spin-2 models in D=2+1
• Boundary terms and Brown-York quasi-local parameters for scalar-tensor theory: a study on both timelike and null hypersurfaces
• Coexistence curve and molecule number density of AdS topological charged black hole in massive gravity
• Constrained dynamics of two interacting relativistic particles in the Faddeev-Jackiw symplectic framework
• Nonlocal Galileons and Self-Acceleration
• Cosmology in $R^2$-gravity: Effects of a Higher Derivative Scalar Condensate Background
• Multipole analysis on stationary massive vector and symmetric tensor fields
• Massive spin-2 particles via embedment of the Fierz-Pauli equations of motion
• Constraining Violations of the Weak Equivalence Principle in the Dark Sector
• Cheeger bounds on spin-two fields
• More on dual actions for massive spin-2 particles
• Equatorial orbits and imaging of hairy cubic Galileon black holes
• Quasi-topological mass generation for 3D linearized gravity
• Limiting the Yukawa Gravity through the Black Hole Shadows of Sgr A* and M87*
• AdS${}_3$/AdS${}_2$ degression of massless particles
• $O(d,d;\mathbb{Z})$ invariant Fierz-Pauli massive gravity
• Linear growth of structure in massive gravity
• Power counting renormalizability of quantum gravity in Lifshitz spacetime
• The Cosmological Impact of Brane-Chern-Simons Massive Gravity
• New massive conformal gravity
• Structure of Massive Gauge/Gravity Scattering Amplitudes, Equivalence Theorems, and Extended Double-Copy with Compactified Warped Space
• Stability of Differentially Rotating Disks in $f(T)$ Theory
• The "Graviton Picture": a Bohr Model for Gravitation on Galactic Scales?
• Field theoretical approach to gravitational waves
• Oscillating universe in massive bigravity
• Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
• Translation invariant time-dependent massive gravity: Hamiltonian analysis
• Graviton mass generation in in-spiraling DNS
• A Generalization of Gravity
• ngravs: Distinct gravitational interactions in GADGET-2
• Softly higher-derivative massive gravity
• Hamiltonian analysis and positivity of a new massive spin-2 model
• Cosmology of Quasi-Dilaton Massive Gravity with Non-minimal Kinetic Coupling
• Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries
• Massive Higher Derivative Gravity Theories
• 5-Dimensional Chern-Simons Gauge Theory on an Interval: Massive Spin-2 Theory from Symmetry Breaking via Boundary Conditions
• Positivity and partial wave unitarity bounds on ALP theories via amplitude methods
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity
• Null infinity as a Killing horizon
• Cosmology in warped massive gravity
• New cosmological solutions in massive gravity theory
• Tuning the Cosmological Constant, Broken Scale Invariance, Unitarity
• Dynamical mass generation of spin-2 fields in de Sitter space for an $O(N)$ symmetric model at large $N$
• Searching for the dark sector in two-body anti-muon decay with the polarization of monochromatic positrons
• Braneworld sum rules and positive tension branes in a massive gravity
• Van der Waals-like phase transition from holographic entanglement entropy in Lorentz breaking massive gravity
• Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores
• GR-GSG Hybrid Gravity
• Cosmological consequences of Quantum Gravity proposals
• On the emergence of the Lorentz signature in an expanding universe
• Nonlinear interactions for massive spin-2 fields
• A solution of the van Dam-Veltman-Zakharov discontinuity problem in the frame of the Poincare-covariant field gravitation theory
• The classical dynamics of gauge theories in the deep infrared
• Dynamical 4-D Gauss-Bonnet action from matter-graviton interaction at one-loop
• Partially massless theory as a quantum gravity candidate
• A braneworld model in a massive gravity
• Impulsive gravitational waves in general massive 3D gravity
• Bimetric interactions based on metric congruences
• Thermalon mediated AdS to dS phase transitions in Einstein-Gauss-Bonnet-massive gravity
• A note on the uniqueness of the dRGT massive gravity theory
• Bessel-Hagen currents for the Fierz-Pauli action
• Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms
• Relativistic star solutions in Mass-varying Massive Gravity with a diagonal metric
• Wald type analysis for spin-one fields in three dimensions
• Interpreting gravitational fields of Topologically Massive Gravity using geodesic deviation
• Topologically Massive Gravity: Anyon Scattering, Weyl-Gauging and Causality
• Weakly Broken Galileon Symmetry in Cosmology
• Self-interacting charged massive spin two particles in Minkowski spacetime
• Polarized solitons in higher-spin wave dark matter
• Canonical formalism of bigravity
• The Exterior Calculus of Quadratic Gravity
• Milgrom's Law and Lambda's Shadow: How Massive Gravity Connects Galactic and Cosmic Dynamics
• Spin-spin Interactions in General Relativity versus Linearized Massive Gravity: $N$-body Simulations
• Historical and Philosophical Insights about General Relativity and Space-time from Particle Physics
• Quasinormal Modes of Near-Extremal Black Holes and Black Strings in Massive Gravity Background
• Algebraic aspects of massive gravity
• Multigravity and the cosmological constant
• Diffeomorphism Invariance Breaking in Gravity and Cosmological Evolution
• Weak field limit in vierbein-Einstein-Palatini formalism and Fierz-Pauli Equation
• Spontaneous Compactification of Bimetric Theory
• Gravitational Waves beyond the Linear Approximation and Gravitational Wave Reflection
• Massive higher spin fields in curved spacetime and necessity of non-minimal couplings
• Complexity of the Einstein-Born-Infeld-Massive Black holes
• Tricritical point and solid/liquid/gas phase transition of higher dimensional AdS black hole in massive gravity
• One loop divergences in quantum gravity coupled with nonlocal matter fields
• A unique coupling of the massive spin-2 field to supergravity
• Geometrical effective actions for a partially massless spin-2 field
• Theories of Massive Gravity in 2+1 Dimensions
• Topological charge and black hole photon spheres in massive gravity
• Resonances, black hole mimickers and the greenhouse effect: consequences for gravitational-wave physics
• Higher-Dimensional Minimal Theory of Mass-Varying Massive Gravity And Its Cosmological Consequences
• Absence of the Higuchi bound in a family of alternative linear massive spin-2 models