Dynamical Transition from a Naked Singularity to a Black Hole
General Relativity and Quantum Cosmology
2020-12-02 v4 High Energy Physics - Theory
Abstract
We show that a Reissner-Nordstr\"{o}m (RN) black hole can be formed by dropping a charged thin dust shell onto a RN naked singularity. This is in contrast to the fact that a RN naked singularity is prohibited from forming by dropping a charged thin dust shell onto a RN black hole. This implies the strong tendency of the RN singularity to be covered by a horizon in favour of cosmic censorship. We show that an extreme RN black hole can also be formed from a RN naked singularity by the same process in a finite advanced time. We also discuss the evolution of the charged thin dust shells and the causal structure of the resultant spacetimes.
Keywords
Cite
@article{arxiv.1909.07852,
title = {Dynamical Transition from a Naked Singularity to a Black Hole},
author = {Kenta Hioki and Tomohiro Harada},
journal= {arXiv preprint arXiv:1909.07852},
year = {2020}
}
Comments
10 pages, 13 figures, accepted for publication in International Journal of Modern Physics A