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