Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-26
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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