Mass and charge fluctuations and black hole entropy

Details Mass and charge fluctuations and black hole entropy Mass and charge fluctuations and black hole entropy

2004-09-27

arxiv.org/abs/gr-qc/0409097v1

Phys.Rev. D71 (2005) 024003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages revtex, no figures

Scientific paper

10.1103/PhysRevD.71.024003

The effects of thermal fluctuations of the mass (horizon area) and electric charge, on the entropy of non-rotating charged {\it macroscopic} black holes, are analyzed using a grand canonical ensemble. Restricting to Gaussian fluctuations around equilibrium, and assuming a power law type of relation between the black hole mass, charge and horizon area, characterized by two real positive indices, the grand canonical entropy is shown to acquire a logarithmic correction with a positive coefficient proportional to the sum of the indices. However, the root mean squared fluctuations of mass and charge relative to the mean values of these quantities turn out to be independent of the details of the assumed mass-area relation. We also comment on possible cancellation between log (area) corrections arising due to {\it fixed area} quantum spacetime fluctuations and that due to thermal fluctuations of the area and other quantities.

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