Do Naked Singularities Form?

Details Do Naked Singularities Form? Do Naked Singularities Form?

1995-11-05

arxiv.org/abs/gr-qc/9511018v2

Class.Quant.Grav.13:L59-L65,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1088/0264-9381/13/5/004

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.

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