Quantum Effect and Curvature Strength of Naked Singularities

Details Quantum Effect and Curvature Strength of Naked Singularities Quantum Effect and Curvature Strength of Naked Singularities

2004-11-19

arxiv.org/abs/gr-qc/0411100v4

Prog.Theor.Phys.113:513-533,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 1 table, 3 figures. Final version to appear in Progress of Theoretical Physics

Scientific paper

10.1143/PTP.113.513

There are many solutions to the Einstein field equations that demonstrate naked singularity (NS) formation after regular evolution. It is possible, however, that such a quantum effect as particle creation prevents NSs from forming. We investigate the relation between the curvature strength and the quantum effects of NSs in a very wide class of spherical dust collapse. Through a perturbative calculation, we find that if the NS is very strong, the quantum particle creation diverges as the Cauchy horizon is approached, while if the NS is very weak, the creation should be finite. In the context of cosmic censorship, strong NSs will be subjected to the backreaction of quantum effects and may disappear or be hidden behind horizons, while weak NSs will not.

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