Logarithmic corrections to three-dimensional black holes and de Sitter spaces
نویسنده
چکیده
We calculate logarithmic corrections to the Bekenstein-Hawking entropy for three-dimensional AdS black holes and topological de Sitter (TdS) spaces including the Schwarzschild-de Sitter (SdS) solution due to thermal fluctuations. It is found that there is no distinction between the event horizon of AdS black holes and the cosmological horizon of SdS and TdS spaces. We obtain the same correction to the Cardy formula for AdS, SdS, and TdS cases. We discuss AdS/CFT and dS/ECFT correspondences in connection with logarithmic corrections. Finally the two Cardy formulae give the same Bekenstein-Hawking entropy for k = −1 large AdS black hole and k = 1 large TdS space. ∗E-mail address: [email protected]
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