Black hole entropy: quantum vs thermal fluctuations

Details Black hole entropy: quantum vs thermal fluctuations Black hole entropy: quantum vs thermal fluctuations

2003-03-07

arxiv.org/abs/gr-qc/0303030v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 Pages Revtex, no figures

Scientific paper

The relation between logarithmic corrections to the area law for black hole entropy, due to thermal fluctuations around an equilibrium canonical ensemble, and those originating from quantum spacetime fluctuations within a microcanonical framework, is explored for three and four dimensional asymptotically anti-de Sitter black holes. For the BTZ black hole, the two logarithmic corrections are seen to precisely cancel each other, while for four dimensional adS-Schwarzschild black holes a partial cancellation is obtained. We discuss the possibility of extending the analysis to asymptotically flat black holes.

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