Internal Structure of Charged AdS Black Holes

TL;DR

This paper extends Ori's model of mass inflation to charged AdS black holes, revealing that their inner horizon's singularity inflates faster but remains weak, with finite tidal distortions despite infinite curvature.

Contribution

It adapts the Ori model to charged AdS black holes, showing differences in inflation rate and singularity strength compared to flat space cases.

Findings

Mass function inflates faster in AdS black holes.

The singularity remains weak despite infinite curvature.

Tidal distortions stay finite crossing the singularity.

Abstract

When an electrically charged black hole is perturbed its inner horizon becomes a singularity, often referred to as the Poisson-Israel mass inflation singularity. Ori constructed a model of this phenomenon for asymptotically flat black holes, in which the metric can be determined explicitly in the mass inflation region. In this paper we implement the Ori model for charged AdS black holes. We find that the mass function inflates faster than the flat space case as the inner horizon is approached. Nevertheless, the mass inflation singularity is still a weak singularity: although spacetime curvature becomes infinite, tidal distortions remain finite on physical objects attempting to cross it.