Mechanics of higher-dimensional black holes in asymptotically anti-de Sitter space-times

Details Mechanics of higher-dimensional black holes in asymptotically anti-de Sitter space-times Mechanics of higher-dimensional black holes in asymptotically anti-de Sitter space-times

2006-11-07

arxiv.org/abs/gr-qc/0611049v2

Class.Quant.Grav.24:625-644,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex4, 23 pages. Minor typos corrected and one reference added

Scientific paper

10.1088/0264-9381/24/3/007

We construct a covariant phase space for Einstein gravity in dimensions d>=4 with negative cosmological constant, describing black holes in local equilibrium. Thus, space-times 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 space-time 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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