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Universal black hole stability in four dimensions

2017/04/24 by Pablo Bueno, Pablo A. Cano · 3 citations
Physics and Astronomy · #hep-th #gr-qc

paper · pdf · doi:10.1103/physrevd.96.024034

published as Phys. Rev. D 96, 024034 (2017) · 12 pages, 3 figures, 2 tables; v2: improved discussion section, typos fixed, references added

arxiv created 2017/04/24 · arxiv updated 2017/07/26

Abstract

We show that four-dimensional black holes become stable below certain mass when the Einstein-Hilbert action is supplemented with higher-curvature terms. We prove this to be the case for an infinite family of ghost-free theories involving terms of arbitrarily high order in curvature. The new black holes, which are non-hairy generalizations of Schwarzschild's solution, present a universal thermodynamic behavior for general values of the higher-order couplings. In particular, small black holes have infinite lifetimes. When the evaporation process makes the semiclassical approximation break down (something that occurs after a time which is usually infinite for all practical purposes), the resulting object retains a huge entropy, in stark contrast with Schwarzschild's case.

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