Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities
Abstract
We analytically investigate backreaction by a quantum scalar field on two rotating Ba\~nados-Teitelboim-Zanelli (BTZ) geometries: that of a black hole and that of a naked singularity. In the former case, we explore the quantum effects on various regions of relevance for a rotating black hole space-time. We find that the quantum effects lead to a growth of both the event horizon and the radius of the ergosphere, and to a reduction of the angular velocity, compared to the unperturbed values. Furthermore, they give rise to the formation of a curvature singularity at the Cauchy horizon and show no evidence of the appearance of a superradiant instability. In the case of a naked singularity, we find that quantum effects lead to the formation of a horizon that shields it, thus supporting evidence for the r\^ole of quantum mechanics as a cosmic censor in nature.
Keywords
Cite
@article{arxiv.1608.05366,
title = {Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities},
author = {Marc Casals and Alessandro Fabbri and Cristián Martínez and Jorge Zanelli},
journal= {arXiv preprint arXiv:1608.05366},
year = {2017}
}
Comments
6 pages. Version to match the one published in Physical Review Letters. Apart from some reformatting, the main difference is that we now also include quantum backreaction effects on a rotating naked singularity as well as on a rotating black hole (both in (2+1)-dimensions)