paper

Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities

arXiv:1608.05366 · doi:10.1103/PhysRevLett.118.131102

Abstract

We analytically investigate backreaction by a quantum scalar field on two rotating Bañados-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 rôle of quantum mechanics as a cosmic censor in nature.

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)

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