Do Naked Singularities Form?

Abstract

A naked singularity is formed by the collapse of a Sine-Gordon soliton in 1+1 dimensional dilaton gravity with a negative cosmological constant. We examine the quantum stress tensor resulting from the formation of the singularity. Consistent boundary conditions require that the incoming soliton is accompanied by a flux of incoming radiation across past null infinity, but neglecting the back reaction of the spacetime leads to the absurd conclusion that the total energy entering the system by the time the observer is able to receive information from the singularity is infinite. We conclude that the back reaction must prevent the formation of the naked singularity.

7 pages (21 Kb), PHYZZX. Revised version to appear in Class. & Quant. Grav. Letts. A discussion of the consistency of the Sine-Gordon model is included

References in corpus (4)

• Formation and Evaporation of a Naked Singularity in 2D Gravity
• Spacelike Singularities and String Theory
• Soliton Induced Singularities in 2 d Gravity and their Evaporation
• Black Hole Formation by Sine-Gordon Solitons in Two-dimensional Dilaton Gravity

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