Massive Gravity in Three Dimensions

Abstract

A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model, which also includes `topologically-massive' gravity as a special case, propagates the two spin 2 helicity states with different masses. We discuss the extension to massive $\mathcal{N}$-extended supergravity, and we present a `cosmological' extension that admits an anti-de Sitter vacuum.

Minor corrections plus a further correction to discussion of supersymmetry in adS vacua, Version to be published

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• Extending the Spin Projection Operators for Gravity Models with Parity-Breaking in 3-D
• Massive Gravity from Higher Derivative Gravity with Boundary Conditions
• Massive "spin-2" theories in arbitrary $D\ge 3$ dimensions
• Hawking Radiation of Fermionic Field and Anomaly in 2+1 Dimensional Black Holes
• Circularly symmetric solutions of Minimal Massive Gravity at its merger point
• Massive Gravity with Anisotropic Scaling
• Soldering spin-3/2 fermions in $D=2+1$
• Warped $Ad{S}_3$ black hole in minimal massive gravity with first order formalism
• Critical gravity on AdS2 spacetimes
• Massive gravitational waves in Chern-Simons modified gravity
• Horizon thermodynamics in fourth-order gravity
• On Topologically Massive Spin-2 Gauge Theories beyond Three Dimensions
• A unifying framework for ghost-free Lorentz-invariant Lagrangian field theories
• Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity
• Holographic Entanglement Entropy in $T\bar{T}$-deformed CFTs
• Self-gravitating solutions in Yang-Mills-Chern-Simons theory coupled to 3D massive gravity
• Stability of vacua in New Massive Gravity in different gauges
• Non-Einsteinian Black Holes in Generic 3D Gravity Theories
• Static spheres and Aschenbach effect for black holes in massive gravity
• On M-Theory Embedding of Topologically Massive Gravity
• Born-Infeld Type Extension of (Non-)Critical Gravity
• Critical Cosmology in Higher Order Gravity
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Minimal Massive Supergravity
• Holographic Entanglement Entropy in NMG
• Spatially homogeneous Lifshitz black holes in five dimensional higher derivative gravity
• General method for including Stueckelberg fields
• Interparticle potential energy for D-dimensional electromagnetic models from the corresponding scalar ones
• Three dimensional rotating hairy black holes, asymptotics and thermodynamics
• A remarkably simple theory of 3d massive gravity
• A note on the nonuniqueness of the massive Fierz-Pauli theory and spectator fields
• Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions
• Canonical structure of BHT massive gravity in warped AdS3 sector
• The mass formula for an exotic BTZ black hole
• Induced higher-derivative massive gravity on a 2-brane in 4D Minkowski space
• On one-loop partition functions of three-dimensional critical gravities
• Soldering spin-3 opposite helicities in $D=2+1$
• Exact ghost-free bigravitational waves
• On Classical Equivalence Between Noncritical and Einstein Gravity : The AdS/CFT Perspectives
• Isoperimetric surfaces and area-angular momentum inequality in a rotating black hole in New Massive Gravity
• Holographic anomaly in 3d f(Ric) gravity
• Graviton Mass Bounds in Very Special Relativity from Binary Pulsar's Gravitational Waves
• Covariant Symplectic Structure and Conserved Charges of New Massive Gravity
• Searching for AdS_3 waves and Asymptotically Lifshitz black holes in R^3-NMG
• The Third way to 3D Supersymmetric Massive Yang-Mills Theory
• Hamiltonian analysis of symmetries in a massive theory of gravity
• Solutions of massive gravity theories in constant scalar invariant geometries
• Gravitational wave solutions of quadratic curvature gravity using a null coframe formulation
• Linearized gravity in terms of differential forms
• Ricci polynomial gravity
• Symmetric vs. chiral approaches to massive fields with spin
• Lovelock gravity is equivalent to Einstein gravity coupled to form fields
• Horizon Mechanics and Asymptotic Symmetries with a Immirzi-like Parameter in 2+1 Dimensions
• Aspects of Conformal Supergravity
• New class of rotating perfect fluid black holes in three dimensional gravity
• Hamilton-Jacobi formalism for Linearized Gravity
• Scattering in Topologically Massive Gravity, Chiral Gravity and the corresponding Anyon-Anyon Potential Energy
• Phase Transition Between Flat Space Cosmology and Hot Flat Spacetimes in GMMG and EGMG Models
• Extended Phase Space Thermodynamics of Black Holes in Massive Gravity
• On nonrelativistic 3D Spin-1 theories
• Propagation of a scalar field with non-minimal coupling in three dimensions: Hawking radiation and Quasinormal modes
• Central charges from Thermodynamics method in 3D gravity
• BTZ Black Holes and Flat Space Cosmologies in Higher Derivative Theories
• Asymptotically flat spacetimes in 3D bigravity
• Quadratic Curvature Gravity with Second Order Trace and Massive Gravity Models in Three Dimensions
• Generalized Vaidya spacetime for cubic gravity
• Dirac-Born-Infeld-Einstein theory with Weyl invariance
• Duality invariance in massive theories
• Weyl-invariant Higher Curvature Gravity Theories in n Dimensions and Mass Generation by Symmetry Breaking
• Primordial black holes in a dimensionally oxidizing Universe
• New Bi-Gravity from New Massive Garvity
• Nonpropagation of massive mode on AdS2 in topologically massive gravity
• Master actions for linearized massive gravity models in 3-D
• Higher-Curvature Gravity, Black Holes and Holography
• Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model
• Bertotti-Robinson solutions in five--dimensional quadratic gravity
• New modes from higher curvature corrections in holography
• Gravitational Waves from Thurston Geometries
• 3D black holes on a 2-brane in 4D Minkowski space
• Dimensional reduction of the massless limit of the linearized "New Massive Gravity"
• Dualities Among Massive, Partially Massless and Shift Symmetric Fields on (A)dS
• Evanescent gravitons in Warped Anti-de Sitter space
• New Chiral Generalized Minimal Massive Gravity
• Stationary Lifshitz Black Hole of New Massive Gravity
• Exotic Massive Gravity: Causality and a Birkhoff-like Theorem
• Weyl-Lorentz-U(1)-invariant symmetric teleparallel gravity in three dimensions
• Thermalization of horizon through asymptotic symmetry in three-dimensional massive gravity
• AdS${}_3$ black holes with primary Proca hair from a regularized Gauss-Bonnet coupling
• Matter coupling in Minimal Massive 3D Gravity and spinor-matter interactions in exterior algebra formalism
• Decreasing entropy of dynamical black holes in critical gravity
• Master actions for massive spin-3 particles in D=2+1
• Embeddings of the "New Massive Gravity"
• Generalized Massive Gravity and Galilean Conformal Algebra in two dimensions
• Holographic Phase Transitions in (2+1)-dimensional black hole spacetimes in NMG
• Global and local thermodynamics of the (2+1)-dimensional rotating Gauss-Bonnet black hole
• Simple prescription for computing the nonrelativistic interparticle potential energy related to dual models
• More on dual actions for massive spin-2 particles
• Emerging (2+1)D massive graviton in graphene-like systems
• Holographic complexity of Born-Infeld gravity
• Propagators in AdS for higher-derivative and nonlocal gravity: Heat kernel approach
• Unitarity Flow in 2+1 Dimensional Massive Gravity
• Solutions with pure radiation and gyratons in 3D massive gravity theories
• Stability of the massive graviton around a BTZ black hole in three dimensions
• Critical points of the Exotic Massive 3D Gravity
• Entropy for curvature squared gravity using surface term and auxiliary field
• Faddeev-Jackiw Hamiltonian formulation for general exotic bi-gravity
• Some considerations on duality concerning kappa-Minkowski spacetime theories
• Quasi-topological mass generation for 3D linearized gravity
• Anomalous Dispersion in Gravity Theories
• Partially massless theory in three dimensions and self-dual massive gravity
• On unitarity of a linearized Yang-Mills formulation for massless and massive gravity with propagating torsion
• Weyl Covariant Quadratic Curvature Gravity in 3-Dimensional Riemann-Cartan-Weyl Space-Times
• Asymptotically flat black holes and gravitational waves in three-dimensional massive gravity
• Unitarity of higher derivative spin-3 models
• Gravitational Dressing of 3D Conformal Galileon
• Instability of BTZ black holes in parity-even massive gravity
• Weyl and transverse diffeomorphism invariant spin-2 models in D=2+1
• Born-Infeld Gravity Revisited
• Massive spin-2 particles via embedment of the Fierz-Pauli equations of motion
• Holographic entropy of Warped-AdS${}_3$ black holes
• Towards construction of ghost-free higher derivative gravity from bigravity
• Discussing Quantum Aspects of Higher-Derivative 3D-Gravity in the First-Order Formalism
• Self-dual formulations of d=3 gravity theories in the path-integral framework
• Critical N=(1,1) General Massive Supergravity
• Holographic Entanglement Entropy in flat limit of the Generalized Minimal Massive Gravity model
• On the new version of Generalized Zwei-Dreibein Gravity
• Thermodynamics of Warped Anti-de Sitter Black Holes under Scattering of Scalar Field
• Hairy Black holes in General Minimal Massive Gravity
• Non-linear regime of the Generalized Minimal Massive Gravity in critical points
• AdS${}_3$/AdS${}_2$ degression of massless particles
• Dual composition of odd-dimensional models
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity
• First Law of Inner Mechanics of Black Holes in Generalized Minimal Massive Gravity
• Softly higher-derivative massive gravity
• Self-Duality from New Massive Gravity Holography
• Hamiltonian structure of three-dimensional gravity in Vielbein formalism
• Critical points of WAdS/CFT and higher-curvature gravity
• Self-dual models in $D=2+1$ from dimensional reduction
• Some properties of the de Sitter black holes in three dimensional spacetime
• Critical Combinations of Higher Order Terms in Einstein-Maxwell theory and Compactification
• A note on higher rank descriptions of massless and massive spin-1 particles
• Dynamical Four-Form Fields
• Holographic Lifshitz fluids in 1+1 dimensions
• On Effective Potential in Tortoise Coordinate
• Modified gravity in three dimensional metric-affine scenarios
• No Bel-Robinson Tensor for Quadratic Curvature Theories
• Brief Note on Thurston Geometries in 3D Quadratic Curvature Theories
• Counting Black Hole Microstates at Future Null Infinity
• Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity
• A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory
• Superradiance and statistical entropy of hairy black hole in three dimensions
• Impulsive gravitational waves in general massive 3D gravity
• Unitarity and Different Phases of the Extended New Massive Gravity
• A non local unitary vector model in 3-D
• (2+1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity model
• The Bel-Robinson tensor for topologically massive gravity
• Effects of curvature and gravity from flat spacetime
• A massive graviton in topologically new massive gravity
• Quasilocal energy for three-dimensional massive gravity solutions with chiral deformations of AdS boundary conditions
• Entropy product of rotating black holes in three-dimensions
• The mass of a Lifshitz black hole
• Thermodynamics of non-linearly charged Anti-de Sitter black holes in four-dimensional Critical Gravity
• Aspects of three-dimensional higher-curvature gravities
• Topics in 3D N=2 AdS supergravity in superspace
• Canonical description of Exotic General Massive Gravity
• Lifshitz black holes in four-dimensional Critical Gravity
• Reaching out a "geometrical" description for spin-4 self-dual models in $D=2+1$
• Topologically Massive Gravity: Anyon Scattering, Weyl-Gauging and Causality
• Rotating Black Holes in Three-Dimensional Horava Gravity Revisited
• Open String Probe in Soft Hair BTZ
• Evolution of matter fields in black holes with Lifshitz symmetry
• A New Geometric Flow on 3-Manifolds: the $K$-Flow
• Investigations In Higher Derivative Field Theories
• Fierz-Pauli Mass From Torsion
• Nonconformally Ricci-flat instantons in Conformal Gravity with and without nonlinear matter fields
• Tricritical gravity waves in the four-dimensional generalized massive gravity
• Topological charge and black hole photon spheres in massive gravity
• Interpreting gravitational fields of Topologically Massive Gravity using geodesic deviation