The breakdown of weak null singularities inside black holes
Abstract
It is widely expected that generic black holes have a non-empty but weakly singular Cauchy horizon, due to mass inflation. Indeed this has been proven by the author in the spherical collapse of a charged scalar field, under decay assumptions of the field in the black exterior which are conjectured to be generic. A natural question then arises: can this weakly singular Cauchy horizon close off the space-time, or does the weak null singularity necessarily "break down", giving way to a different type of singularity? The main result of this paper is to prove that the Cauchy horizon cannot ever "close off" the space-time. As a consequence, the weak null singularity breaks down and transitions to a different singularity for which the area-radius extends to .
Cite
@article{arxiv.1912.10890,
title = {The breakdown of weak null singularities inside black holes},
author = {Maxime Van de Moortel},
journal= {arXiv preprint arXiv:1912.10890},
year = {2022}
}
Comments
Final version, to be appearing in Duke Mathematical Journal