Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-08-30
Class.Quant.Grav.22:1503-1526,2005
Physics
High Energy Physics
High Energy Physics - Theory
Typos corrected
Scientific paper
10.1088/0264-9381/22/9/002
We obtain expressions for the mass and angular momenta of rotating black holes in anti-de Sitter backgrounds in four, five and higher dimensions. We verify explicitly that our expressions satisfy the first law of thermodynamics, thus allowing an unambiguous identification of the entropy of these black holes with $\ft14$ of the area. We find that the associated thermodynamic potential equals the background-subtracted Euclidean action multiplied by the temperature. Our expressions differ from many given in the literature. We find that in more than four dimensions, only our expressions satisfy the first law of thermodynamics. Moreover, in all dimensions we show that our expression for the mass coincides with that given by the conformal conserved charge introduced by Ashtekar, Magnon and Das. We indicate the relevance of these results to the AdS/CFT correspondence.
Gibbons Gary W.
Perry Malcolm J.
Pope Christopher N.
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