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Black Hole in Higher Curvature Gravity and AdS/CFT Correspondence

Hiromi Saida·Jiro Soda
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Abstract

The classical central charge for the higher curvature gravity in 3-dimensions is calculated using the Legendre transformation method. The statistical entropy of BTZ black hole is derived by the Cardy's formula and the result completely coincides with the Iyer-Wald formula for the geometrical entropy. This coincidence suggests the generalized AdS/CFT correspondence.

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Hiromi Saida, Jiro Soda. 2000-11-27. Black Hole in Higher Curvature Gravity and AdS/CFT Correspondence. https://arxiv.org/abs/gr-qc/0011095

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