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One-loop quantum corrections to the entropy for an extremal Reissner-Nordström black hole

1995/04/12 by Guido Cognola, G. Cognola, Luciano Vanzo +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Conformal map #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Quantum mechanics #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.52.4548

published as Phys.Rev. D52 (1995) 4548-4553 · 10 pages, LaTex

arxiv created 1995/04/12 · openalex publication_date 1995/10/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The first quantum corrections to the entropy for an eternal four-dimensional extremal Reissner-Nordstr"om black hole is investigated at the one-loop level, in the large mass limit of the black hole, making use of the conformal techniques related to the optical metric. A leading exponential horizon divergence is found and other divergences appear due to the singular nature of the optical manifold. The area law is shown to be violated.

Citations