Mass inflation and strong cosmic censorship in a non-extreme BTZ black hole

Abstract

We study the phenomena of mass inflation using the Ori model for a rotating BTZ black hole that is sufficiently far from extremality, and show that the right Cauchy horizon (${\mathcal{C}\mathcal{H}}_R^{+}$) of the BTZ black hole becomes singular. Motivated by the recent analysis of Dias, Reall, Santos [J. High Energy Phys. 12 (2019) 097], we choose the retrograde quasinormal modes to govern the decay of perturbations exterior to the black hole. The resulting model captures the violation of the strong cosmic censorship conjecture near extremality. On the other hand, far from extremality, the ${\mathcal{C}\mathcal{H}}_R^{+}$ of a BTZ black hole develops a weak null singularity. Our analysis shows a slowly rotating BTZ black hole will respect strong cosmic censorship.

arXiv commentMinor change in the title. Matches with the version published in Physical Review D

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• Strong cosmic censorship conjecture for a charged BTZ black hole
• Strong Cosmic Censorship in Two Dimensions
• Hawking radiation in multi-horizon spacetimes using Hamilton Jacobi method
• Investigations of strong cosmic censorship in 3-dimensional black strings