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One-loop Quantum Corrections to the Entropy for an Extremal Reissner-Nordstr\"om Black Hole

High Energy Physics - Theory 2009-10-28 v1

Abstract

The first quantum corrections to the entropy for an eternal 4-dimensional extremal Reissner-Nordstr\"om black hole is investigated at 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 cubic 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.

Keywords

Cite

@article{arxiv.hep-th/9504064,
  title  = {One-loop Quantum Corrections to the Entropy for an Extremal Reissner-Nordstr\"om Black Hole},
  author = {G. Cognola and L. Vanzo and S. Zerbini},
  journal= {arXiv preprint arXiv:hep-th/9504064},
  year   = {2009}
}

Comments

10 pages, LaTex