Logarithmic corrections to three-dimensional black holes and de Sitter spaces

Details Logarithmic corrections to three-dimensional black holes and de Sitter spaces Logarithmic corrections to three-dimensional black holes and de Sitter spaces

2003-10-18

arxiv.org/abs/hep-th/0310176v2

Phys.Lett. B579 (2004) 205-210

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, version to appear in PLB. k-dependent analysis is withdrawn

Scientific paper

10.1016/j.physletb.2003.11.002

We calculate logarithmic corrections to the Bekenstein-Hawking entropy for three-dimensional BTZ black hole with J=0 and Kerr-de Sitter (KdS) space with J=0 including the Schwarzschild-de Sitter (SdS) solution due to thermal fluctuations. It is found that there is no distinction between the event horizon of the BTZ black hole and the cosmological horizon of KdS space. We obtain the same correction to the Cardy formula for BTZ, KdS, and SdS cases. We discuss AdS/CFT and dS/ECFT correspondences in connection with logarithmic corrections.

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