Abstract
We investigate semiclassical backreaction on a conical naked singularity space-time with a negative cosmological constant in (2+1)-dimensions. In particular, we calculate the renormalized quantum stress-energy tensor for a conformally coupled scalar field on such naked singularity space-time. We then obtain the backreacted metric via the semiclassical Einstein equations. We show that, in the regime where the semiclassical approximation can be trusted, backreaction dresses the naked singularity with an event horizon, thus enforcing cosmic censorship.
Highlights
Naked Singularities (NS) in gravitation theory are irksome: the curvature tensor and the energy density can ‘blow up’; the space-time fabric may fail to resemble a smooth manifold and it may not be possible to continue geodesics past them; the laws of physics and standard features like causality may be violated [1]
That naturally leads to the question of whether NSs are stable under quantum effects or else, for example, these effects lead to the formation of an event horizon
The question we wish to address, is, what happens in the geometry of a conical singularity when one includes vacuum fluctuations of some matter field: does the conical defect of the NS grow? what is the fate of the singularity? In this paper we investigate precisely this issue on a non-rotating, naked conical singularity space-time in (2 + 1)-dimensions with a negative cosmological constant and find that quantum effects create an event horizon surrounding a curvature singularity
Summary
Naked Singularities (NS) in gravitation theory are irksome: the curvature tensor and the energy density can ‘blow up’; the space-time fabric may fail to resemble a smooth manifold and it may not be possible to continue geodesics past them; the laws of physics and standard features like causality may be violated [1]. In this paper we will investigate conical defects/excesses in (2 + 1)-AdS space-time. The opposite of a conical defect, an angular excess, is a NS with a “negative angular deficit”, which is not produced by an identification, but by an insertion of an angular wedge These features make conical singularities in AdS3 as acceptable as black holes. In this paper we investigate precisely this issue on a non-rotating, naked conical singularity space-time in (2 + 1)-dimensions with a negative cosmological constant and find that quantum effects create an event horizon surrounding a curvature singularity.
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