Logarithmic corrections to the Bekenstein_Hawking entropy for five-dimensional black holes and de Sitter spaces

Details Logarithmic corrections to the Bekenstein_Hawking entropy for five-dimensional black holes and de Sitter spaces Logarithmic corrections to the Bekenstein_Hawking entropy for five-dimensional black holes and de Sitter spaces

2003-08-28

arxiv.org/abs/hep-th/0308191v2

Phys.Lett. B574 (2003) 289-295

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, version to appear in PLB

Scientific paper

10.1016/j.physletb.2003.09.034

We calculate corrections to the Bekenstein-Hawking entropy formula for the five-dimensional topological AdS (TAdS)-black holes and topological de Sitter (TdS) spaces due to thermal fluctuations. We can derive all thermal properties of the TdS spaces from those of the TAdS black holes by replacing $k$ by $-k$. Also we obtain the same correction to the Cardy-Verlinde formula for TAdS and TdS cases including the cosmological horizon of the Schwarzschild-de Sitter (SdS) black hole. Finally we discuss the AdS/CFT and dS/CFT correspondences and their dynamic correspondences.

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