Perturbative metric of charged black holes in quadratic gravity

M. Campanelli, C. O. Lousto, and J. Audretsch
Phys. Rev. D 51, 6810 – Published 15 June 1995
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Abstract

We consider perturbative solutions to the classical field equations coming from a quadratic gravitational Lagrangian in four dimensions. We study the charged, spherically symmetric black hole, and explicitly give corrections up to third order (in the coupling constant β multiplying the RμνRμν term) to the Reissner-Nordström metric. We discuss the thermodynamics of such black holes; in particular, we compute explicitly its temperature and entropy-area relation. The latter deviates from the usual S=A/4 expression, depending also on the charge Q, and on β nonlinearly.

  • Received 1 December 1994

DOI:https://doi.org/10.1103/PhysRevD.51.6810

©1995 American Physical Society

Authors & Affiliations

M. Campanelli

  • Fakultät für Physik der Universität Konstanz, Postfach 5560 M 674, D-78434 Konstanz, Germany

C. O. Lousto

  • IFAE - Grupo de Física Teórica, Universidad Autónoma de Barcelona, E-80193 Bellaterra, Barcelona, Spain

J. Audretsch

  • Fakultät für Physik der Universität Konstanz, Postfach 5560 M 673, D-78434 Konstanz, Germany

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Issue

Vol. 51, Iss. 12 — 15 June 1995

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