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.

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

References in corpus (1)

• Quasinormal modes and Strong Cosmic Censorship

Cited by in corpus (2)

• Scalar perturbations of black holes in Jackiw-Teitelboim gravity
• Bulk reconstruction in rotating BTZ black hole