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arXiv · hep-th/9603175

Black Hole Entropy: Thermodynamics, Statistical-Mechanics and Subtraction Procedure

V. P. Frolov·D. V. Fursaev·A. I. Zelnikov
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Abstract

The thermodynamical one-loop entropy $S^{TD}$ of a two-dimensional black hole in thermal equilibrium with the massless quantum gas is calculated. It is shown that $S^{TD}$ includes the Bekenstein-Hawking entropy, evaluated for the quantum corrected geometry, and the finite difference of statistical mechanical entropies $-Tr\hatρ\ln\hatρ$ for the gas on the black hole and Rindler spaces. This result demonstrates in an explicit form that the relation between thermodynamical and statistical-mechanical entropies of a black hole is non-trivial and requires special subtraction procedure.

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V. P. Frolov, D. V. Fursaev, A. I. Zelnikov. 1996-03-26. Black Hole Entropy: Thermodynamics, Statistical-Mechanics and Subtraction Procedure. https://doi.org/10.1016/0370-2693(96)00661-2

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