On asymptotic charges in 3D gravity

Abstract

A variant of the ADT method for the determination of gravitational charges as integrals at infinity is applied to "Chern-Simons-like" theories of 3D gravity, and the result is used to find the mass and angular momentum of the BTZ black hole considered as a solution of a variety of massive 3D gravity field equations. The results agree with many obtained previously by other methods, including our own results for "Minimal Massive Gravity", but they disagree with others, including recently reported results for "Exotic Massive Gravity". We also find the central charges of the asymptotic conformal symmetry algebra for the generic 3D gravity model with AdS vacuum and discuss implications for black hole thermodynamics.

arXiv comment26 pages; v2, references added

References in corpus (39)

• The Black Hole in Three Dimensional Space Time
• The Dynamics of General Relativity
• Massive Gravity in Three Dimensions
• Energy in Generic Higher Curvature Gravity Theories
• Warped AdS_3 Black Holes
• More on Massive 3D Gravity
• Three-dimensional quantum geometry and black holes
• Holographic Gravitational Anomalies
• Black hole mass and angular momentum in topologically massive gravity
• Energy-Momentum Conservation in General Relativity
• Minimal Massive 3D Gravity
• Quasi-Local Conserved Charges in Covariant Theory of Gravity
• Weakly Supervised Classification in High Energy Physics
• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• Zwei-Dreibein Gravity
• Supersymmetric spacetimes in 2+1 adS-supergravity models
• Conformal Chern-Simons holography - lock, stock and barrel
• Black Holes in Three Dimensional Topological Gravity
• On the Hamiltonian form of 3D massive gravity
• Quasilocal Conserved Charges with a Gravitational Chern-Simons Term
• Thermodynamics of Exotic Black Holes, Negative Temperature, and Bekenstein-Hawking Entropy
• Matter coupling in 3D "Minimal Massive Gravity"
• Chern-Simons-like Gravity Theories
• Exotic Massive 3D Gravity
• Extended massive gravity in three dimensions
• The Heisenberg algebra as near horizon symmetry of the black flower solutions of Chern-Simons-like theories of gravity
• Conserved Charges in Extended Theories of Gravity
• The Third Way to 3D Gravity
• Black hole entropy in the Chern-Simons-like theories of gravity and Lorentz-diffeomorphism Noether charge
• Interacting spin-2 fields in three dimensions
• Gravitons in Flatland
• Soft hairy warped black hole entropy
• General formulas for conserved charges and black hole entropy in Chern-Simons-like theories of gravity
• Energy of asymptotically AdS black holes in Exotic Massive Gravity and its log-extension
• More on vacua of exotic massive 3D gravity
• Unitary Extension of Exotic Massive 3D Gravity from Bi-gravity
• Metric formulation of the simple theory of 3d massive gravity
• On-shell versus Off-shell Equivalence in 3D Gravity
• A remarkably simple theory of 3d massive gravity

Cited by in corpus (10)

• Weyl Charges in Asymptotically Locally AdS${}_3$ Spacetimes
• Warped Flatland
• Holographic Entanglement Entropy in $T\bar{T}$-deformed CFTs
• Minimal Massive Supergravity
• Central charges from Thermodynamics method in 3D gravity
• Phase Transition Between Flat Space Cosmology and Hot Flat Spacetimes in GMMG and EGMG Models
• Unitarity Flow in 2+1 Dimensional Massive Gravity
• Chern-Simons-Like Formulation of Exotic Massive 3D Gravity Models
• Hairy Black holes in General Minimal Massive Gravity
• Canonical description of Exotic General Massive Gravity