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

TL;DR

This paper investigates mass inflation and the strong cosmic censorship conjecture in non-extreme rotating BTZ black holes, revealing that near extremality the Cauchy horizon becomes singular, while far from extremality it develops a weak null singularity.

Contribution

It applies the Ori model to analyze mass inflation in rotating BTZ black holes and demonstrates the conditions under which strong cosmic censorship is upheld or violated.

Findings

Near extremality, the Cauchy horizon becomes singular.

Far from extremality, a weak null singularity forms.

Slowly rotating BTZ black holes respect strong cosmic censorship.

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 ($\mathcal{CH}^+_R$) 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 $\mathcal{CH}^+_R$ of a BTZ black hole develops a weak null singularity. Our analysis shows a slowly rotating BTZ black hole will respect strong cosmic censorship.