Particle creation in (2+1) circular dust collapse
General Relativity and Quantum Cosmology
2008-11-26 v3 High Energy Physics - Theory
Abstract
We investigate the quantum particle creation during the circularly symmetric collapse of a 2+1 dust cloud, for the cases when the cosmological constant is either zero or negative. We derive the Ford-Parker formula for the 2+1 case, which can be used to compute the radiated quantum flux in the geometric optics approximation. It is shown that no particles are created when the collapse ends in a naked singularity, unlike the 3+1 case. When the collapse ends in a BTZ black hole, we recover the expected Hawking radiation.
Keywords
Cite
@article{arxiv.gr-qc/0703142,
title = {Particle creation in (2+1) circular dust collapse},
author = {Sashideep Gutti and T. P. Singh},
journal= {arXiv preprint arXiv:gr-qc/0703142},
year = {2008}
}
Comments
15 pages, additional material added in Introduction and Discussion, conclusions unchanged, to appear in Physical Review D