Microcanonical entropy of a black hole

Rajat K. Bhaduri, Muoi N. Tran, and Saurya Das
Phys. Rev. D 69, 104018 – Published 19 May 2004
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Abstract

It has been suggested recently that the microcanonical entropy of a system may be accurately reproduced by including a logarithmic correction to the canonical entropy. In this paper we test this claim both analytically and numerically by considering three simple thermodynamic models whose energy spectrum may be defined in terms of one quantum number only, as in a non-rotating black hole. The first two pertain to collections of noninteracting bosons, with logarithmic and power-law spectra. The last is an area ensemble for a black hole with equi-spaced area spectrum. In this case, the many-body degeneracy factor can be obtained analytically in a closed form. We also show that in this model, the leading term in the entropy is proportional to the horizon area A, and the next term is lnA with a negative coefficient.

  • Received 10 December 2003

DOI:https://doi.org/10.1103/PhysRevD.69.104018

©2004 American Physical Society

Authors & Affiliations

Rajat K. Bhaduri and Muoi N. Tran

  • Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, Canada L8S 4M1

Saurya Das

  • Department of Physics, University of Lethbridge, Lethbridge, Alberta, Canada T1K 3M4

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Vol. 69, Iss. 10 — 15 May 2004

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