On asymptotic charges in 3D gravity
arXiv:1909.11743 · doi:10.1088/1361-6382/ab5ea5
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.
26 pages; v2, references added
References in corpus (14)
- Massive Gravity in Three Dimensions
- Warped AdS_3 Black Holes
- More on Massive 3D Gravity
- Black hole mass and angular momentum in topologically massive gravity
- Minimal Massive 3D Gravity
- BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
- Thermodynamics of Exotic Black Holes, Negative Temperature, and Bekenstein-Hawking Entropy
- Matter coupling in 3D "Minimal Massive Gravity"
- Extended massive gravity in three dimensions
- Interacting spin-2 fields in three dimensions
- 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