The Entropy Function for the extremal Kerr-(anti-)de Sitter Black Holes
arXiv:0804.3811 · doi:10.1016/j.aop.2010.02.002
Abstract
Based on the entropy function formalism, we consider the extremal Kerr-(anti-)de Sitter black holes in 4-dimensions. Solving differential equations exactly, which are obtained by extremizing the entropy function, we find agreement of the result with Bekenstein-Hawking entropy. Concerning the higher derivative corrections, we extend the computation to the case with Gauss-Bonnet term.
24 pages, 4 figures, comments on Gauss-Bonnet coefficient added, references added
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