BTZ Black Hole Entropy in Higher Curvature Gravity

Details BTZ Black Hole Entropy in Higher Curvature Gravity BTZ Black Hole Entropy in Higher Curvature Gravity

2000-01-07

arxiv.org/abs/gr-qc/0001016v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Appeared in The Proceedings of the 9th Workshop on General Relativity and Gravitation (Japan), 8pages, no figure

Scientific paper

For the BTZ black hole in the Einstein gravity, a statistical entropy has been calculated. It is equal to the Bekenstein-Hawking entropy. In this article, its statistical entropy in the higer curvature gravity is calculated and shown to be equal to one derived by using the Noether charge method. This suggests that the equivalence between the geometrical and statistical entropies of the black hole is retained in the general diffeomorphism invariant theories of gravity. A relation between the cosmic censorship conjecture and the unitarity of the conformal field theory on the boundary of AdS_3 is also discussed.

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