On one-loop renormalization of black-hole entropy
High Energy Physics - Theory
2009-10-28 v2
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 -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.
Keywords
Cite
@article{arxiv.hep-th/9412020,
title = {On one-loop renormalization of black-hole entropy},
author = {Dmitri V. Fursaev and Sergey N. Solodukhin},
journal= {arXiv preprint arXiv:hep-th/9412020},
year = {2009}
}
Comments
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