Quantum Naked Singularities in 2d Dilaton Gravity

Details Quantum Naked Singularities in 2d Dilaton Gravity Quantum Naked Singularities in 2d Dilaton Gravity

1996-04-11

arxiv.org/abs/hep-th/9604064v2

Nucl.Phys. B487 (1997) 409-441

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 87K (excluding figures), 6 PS and EPS figures. PHYZZX macros. Revised version to appear in Nucl. Phys. B. A section

Scientific paper

10.1016/S0550-3213(96)00643-8

Roughly speaking, naked singularities are singularities that may be seen by timelike observers. The Cosmic Censorship conjecture forbids their existence by stating that a reasonable system of energy will not, under reasonable conditions, collapse into a naked singularity. There are however many (classical) counter-examples to this conjecture in the literature. We propose a defense of the conjecture through the quantum theory. We will show that the Hawking effect and the accompanying back reaction, when consistently applied to naked singularities in two dimensional models of dilaton gravity with matter and a cosmological constant, prevent their formation by causing them to explode or emit radiation catastrophically. This contrasts with black holes which radiate slowly. If this phenomenon is reproduced in the four dimensional world, the explosion of naked singularities should have observable consequences.

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