Radiation flux and spectrum in the Vaidya collapse model

Abstract

We consider the quantization of a massless scalar field, using the geometric optics approximation, in the background spacetime of a collapsing spherical self-similar Vaidya star, which forms a black hole or a naked singularity. We show that the outgoing radiation flux of the quantized scalar field diverges on the Cauchy horizon. The spectrum of the produced scalar partcles is non-thermal when the background develops a naked singularity. These results are analogous to those obtained for the scalar quantization on a self-similar dust cloud.

10 pages, Latex File

Cited by in corpus (18)

• Gravitational Anomalies, Hawking Radiation, and Spherically Symmetric Black Holes
• Toward a Midisuperspace Quantization of LeMaitre-Tolman-Bondi Collapse Models
• Effects of Lovelock terms on the final fate of gravitational collapse: analysis in dimensionally continued gravity
• Small Black Holes on Branes: Is the horizon regular or singular ?
• Properties of Black Hole Radiation From Tunnelling
• Physical aspects of naked singularity explosion - How does a naked singularity explode? --
• Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime I. Classical Solutions
• Toward a Quantization of Null Dust Collapse
• Semiclassical Instability of the Cauchy Horizon in Self-Similar Collapse
• Particle creation in (2+1) circular dust collapse
• Analytic derivation of the map of null rays passing near a naked singularity
• Particle Creation by Naked Singularities in Higher Dimensions
• Naked Singularity Explosion in Higher Dimensions
• Naked singularity explosion in higher-dimensional dust collapse
• Electromagnetic radiation due to naked singularity formation in self-similar gravitational collapse
• Modification to the Hawking temperature of a dynamical black hole by a flow-induced supertranslation
• A Conserved Bach Current
• On the Response of Particle Detectors in Vaidya Spacetimes