Universal black hole stability in four dimensions

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.

12 pages, 3 figures, 2 tables; v2: improved discussion section, typos fixed, references added

References in corpus (10)

• Black Holes in Higher-Derivative Gravity
• Einsteinian cubic gravity
• Not quite a black hole
• Four-dimensional black holes in Einsteinian cubic gravity
• Generalized quasi-topological gravity
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Aspects of general higher-order gravities
• Quintic quasi-topological gravity
• Quintessential Quartic Quasi-topological Quartet
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