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arXiv · 1704.02967

Universal black hole stability in four dimensions

Pablo Bueno·Pablo A. Cano
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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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Pablo Bueno, Pablo A. Cano. 2017-04-24. Universal black hole stability in four dimensions. https://doi.org/10.1103/physrevd.96.024034

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