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arXiv · hep-th/9412020

On one-loop renormalization of black-hole entropy

Dmitri V. Fursaev·Sergey N. Solodukhin
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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.

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Dmitri V. Fursaev, Sergey N. Solodukhin. 1995-11-22. On one-loop renormalization of black-hole entropy. https://doi.org/10.1016/0370-2693(95)01290-7

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