TY - JOUR
T1 - Mechanics of higher dimensional black holes in asymptotically anti-de Sitter spacetimes
AU - Ashtekar, Abhay
AU - Pawlowski, Tomasz
AU - Van Den Broeck, Chris
PY - 2007/2/7
Y1 - 2007/2/7
N2 - We construct a covariant phase space for the Einstein gravity in dimensions d ≥ 4 with a negative cosmological constant, describing black holes in local equilibrium. Thus, spacetimes under consideration are asymptotically anti-de Sitter and admit an inner boundary representing an isolated horizon. This allows us to derive a first law of black hole mechanics that involves only quantities defined quasi-locally at the horizon, without having to assume that the bulk spacetime is stationary. The first law proposed by Gibbons et al for the Kerr-AdS family follows from a special case of this much more general first law.
AB - We construct a covariant phase space for the Einstein gravity in dimensions d ≥ 4 with a negative cosmological constant, describing black holes in local equilibrium. Thus, spacetimes under consideration are asymptotically anti-de Sitter and admit an inner boundary representing an isolated horizon. This allows us to derive a first law of black hole mechanics that involves only quantities defined quasi-locally at the horizon, without having to assume that the bulk spacetime is stationary. The first law proposed by Gibbons et al for the Kerr-AdS family follows from a special case of this much more general first law.
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U2 - 10.1088/0264-9381/24/3/007
DO - 10.1088/0264-9381/24/3/007
M3 - Article
AN - SCOPUS:33947583475
SN - 0264-9381
VL - 24
SP - 625
EP - 644
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 3
M1 - 007
ER -