First Law, Counterterms and Kerr-AdS_5 Black Holes

Details First Law, Counterterms and Kerr-AdS_5 Black Holes First Law, Counterterms and Kerr-AdS_5 Black Holes

2007-08-26

arxiv.org/abs/0708.3458v2

Int.J.Mod.Phys.D18:405-418,2009

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 1 figure

Scientific paper

10.1142/S0218271809014522

We apply the counterterm subtraction technique to calculate the action and other quantities for the Kerr--AdS black hole in five dimensions using two boundary metrics; the Einstein universe and rotating Einstein universe with arbitrary angular velocity. In both cases, the resulting thermodynamic quantities satisfy the first law of thermodynamics. We point out that the reason for the violation of the first law in previous calculations is that the rotating Einstein universe, used as a boundary metric, was rotating with an angular velocity that depends on the black hole rotation parameter. Using a new coordinate system with a boundary metric that has an arbitrary angular velocity, one can show that the resulting physical quantities satisfy the first law.

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