Strong cosmic censorship in the BTZ black hole

Abstract

Recently it has been shown that quantum fields can be regular on the inner, Cauchy horizon of a rotating BTZ black hole, which appears to indicate a failure of strong cosmic censorship. We argue that, instead, what these results imply is that the inner horizon remains non-singular when leading-order backreaction of the quantum fields is computed, but, after next-order backreaction is accounted for, it will become singular. Then, strong cosmic censorship will be enforced in the BTZ black hole. We support our claims using a four-dimensional holographic dual of the system, which connects the instability of the inner horizon of the BTZ black hole to that of Kerr-type black holes.

9 pages. v2: minor changes. Matches published version

References in corpus (2)

• Quantum Instability of the Cauchy Horizon in Reissner-Nordström-deSitter Spacetime
• Quantum-corrected black holes and naked singularities in (2+1)-dimensions

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