One-loop Quantum Corrections to the Entropy for an Extremal Reissner-Nordström Black Hole

Details One-loop Quantum Corrections to the Entropy for an Extremal Reissner-Nordström Black Hole One-loop Quantum Corrections to the Entropy for an Extremal Reissner-Nordström Black Hole

1995-04-12

arxiv.org/abs/hep-th/9504064v1

Phys.Rev. D52 (1995) 4548-4553

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTex

Scientific paper

10.1103/PhysRevD.52.4548

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.

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