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

Abhay Ashtekar, Tomasz Pawlowski, Chris Van Den Broeck

Research output: Contribution to journalArticle

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Abstract

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.

Original languageEnglish (US)
Article number007
Pages (from-to)625-644
Number of pages20
JournalClassical and Quantum Gravity
Volume24
Issue number3
DOIs
StatePublished - Feb 7 2007

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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