Perturbative Metric of Charged Black Holes in Quadratic Gravity

1994/12/01 by M. Campanelli, C. O. Lousto, J. Audretsch · 1 citation
Physics and Astronomy · #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.51.6810

published as Phys. Rev. D 51, 6810 (1995) · 10 pages, RevTeX

arxiv created 1994/12/01 · arxiv updated 2016/08/24

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 R_μνR^μν term) to the Reissner--Nordström hole metric. We consider the thermodynamics of such black holes, in particular, we compute explicitly its temperature and entropy--area relation which deviates from the usual S=A/4 expression.

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