Black hole mass and angular momentum in 2+1 gravity

Abstract

We propose a new definition for the mass and angular momentum of neutral or electrically charged black holes in 2+1 gravity with two Killing vectors. These finite conserved quantities, associated with the SL(2,R) invariance of the reduced mechanical system, are shown to be identical to the quasilocal conserved quantities for an improved gravitational action corresponding to mixed boundary conditions. They obey a general Smarr-like formula and, in all cases investigated, are consistent with the first law of black hole thermodynamics. Our framework is applied to the computation of the mass and angular momentum of black hole solutions to several field-theoretical models.

arXiv comment23 pages, 3 references added, to be published in Physical Review D

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Cited by in corpus (26)

• Black hole mass and angular momentum in topologically massive gravity
• The black holes of topologically massive gravity
• Warped AdS_3 black holes in new massive gravity
• Non-asymptotically flat, non-AdS dilaton black holes
• Three-dimensional Chern-Simons black holes
• Electrically charged black hole with scalar hair
• Black holes with a null Killing vector in three-dimensional massive gravity
• On boundary conditions in three-dimensional AdS gravity
• Scale Invariant Hairy Black Holes
• Hairy black hole entropy and the role of solitons in three dimensions
• Rotating Boson Stars in 2+1 Dimensions
• Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity
• Rotating hairy black hole and its microscopic entropy in three spacetime dimensions
• Primordial Black Hole Evaporation and Spontaneous Dimensional Reduction
• Bootstrapping gravity solutions
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• Lux in obscuro II: Photon Orbits of Extremal AdS Black Holes Revisited
• Asymptotic structure of the Einstein-Maxwell theory on AdS${}_3$
• Rotating Electric Classical Solutions of 2+1 D U(1) Einstein Maxwell Chern-Simons
• Electrically charged black hole on AdS${}_3$: scale invariance and the Smarr formula
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
• Thermodynamics of a class of non-asymptotically flat black holes in Einstein-Maxwell-Dilaton theory
• Horizon Mechanics and Asymptotic Symmetries with a Immirzi-like Parameter in 2+1 Dimensions
• The mass formula for an exotic BTZ black hole
• On the existence of deformations and dimensional reduction in wormholes and black holes
• Critical points of WAdS/CFT and higher-curvature gravity