On one-loop renormalization of black-hole entropy

Authors: Dmitri V. Fursaev, Sergey N. Solodukhin

Phys.Lett. B365 (1996) 51-55
arXiv: hep-th/9412020v2 - DOI (hep-th)
10 pages, latex, no figures; The text is slightly changed and some new eqs. are added to make the proof of our statement more transparent. This version will appear in Phys. Lett. B
License: ASSUMED 1991-2003

Abstract: One-loop divergences appearing in the entropy of a quantum black hole are proven to be completely eliminated by the standard renormalization of both the gravitational constant and other coefficients by the $R^2$-terms in the effective gravitational action. The essential point of the proof is that due to the higher order curvature terms the entropy differs from the Bekenstein-Hawking one in the Einstein gravity by the contributions depending on the internal and external geometry of the horizon surface.

Submitted to arXiv on 02 Dec. 1994

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