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On one-loop renormalization of black-hole entropy

1994/12/31 by D. V. Fursaev, Dmitri V. Fursaev, Sergey N. Solodukhin · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Entropic gravity #Entropy (arrow of time) #Geometry #Gravitation #Hawking radiation #Immirzi parameter #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Renormalization #Theoretical physics #White hole #hep-th

paper · pdf · doi:10.1016/0370-2693(95)01290-7

published as Phys.Lett. B365 (1996) 51-55 · 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

arxiv created 1995/11/22 · openalex publication_date 1996/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 R2-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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