Renormalization of Black Hole Entropy

Details Renormalization of Black Hole Entropy Renormalization of Black Hole Entropy

1999-01-14

arxiv.org/abs/gr-qc/9901038v1

J.KoreanPhys.Soc.33:S524-S531,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Proceedings of the 5th Korean-Italian Symposium on Relativistic Astrophysics, Seoul Korea, 1997; 10 pages, RevTex

Scientific paper

We review the renormalization of one-loop effective action for gravity coupled to a scalar field and that of the Bekenstein-Hawking entropy of a black hole plus the statistical entropy of the scalar field. It is found that the total entropy of the black hole's geometric entropy and the statistical entropy yields the renormalized Bekenstein-Hawking area-law of black hole entropy only for even dimensional Reissner-N\"{o}rdstrom (Schwarzschild) black holes. We discuss the problem of the microscopic origin of black hole entropy in connection with the renormalization of black hole entropy.

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