A note on the stability of the Cauchy horizon in regular black holes without mass inflation

Abstract

Unlike generic models of regular black holes (BHs) with nonzero surface gravity on both Cauchy and event horizons, an inner-degenerate counterpart with zero Cauchy horizon surface gravity was recently proposed. For this regular BH solution with spherical symmetry, we examine the stability of the Cauchy horizon from both classic and quantum mechanics viewpoints. We find that the classical perturbations do not lead to mass inflation at the Cauchy horizon, indicating classically stability, while quantum fluctuations cause it to be unstable quantum mechanically.

arXiv comment6 pages (two columns, letters style)

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• Importance of being nonminimally coupled: Scalar Hawking radiation from regular black holes
• Topological regular black holes without Cauchy horizon
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• Could regular primordial black holes be dark matter?