Quantum Naked Singularities in 2d Dilaton Gravity

Abstract

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.

35 pages, 87K (excluding figures), 6 PS and EPS figures. PHYZZX macros. Revised version to appear in Nucl. Phys. B. A section examining the back reaction of the spacetime has been added

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Cited by in corpus (12)

• Dilaton Gravity in Two Dimensions
• Initial data and the end state of spherically symmetric gravitational collapse
• Particle Creation in the Marginally Bound, Self Similar Collapse of Inhomogeneous Dust
• The Quantum Stress-Tensor in Self-Similar Spherical Dust Collapse
• On the Spectrum of the Radiation from a Naked Singularitry
• Information retrieval from black holes
• Gamma-Ray Bursts and Quantum Cosmic Censorship
• Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime I. Classical Solutions
• Time-dependent $NAd{S}_2$ holography with applications
• Particle creation in (2+1) circular dust collapse
• Unruh effect for inertial observers through vacuum correlations
• Unveiling horizons in quantum critical collapse