Gravitational collapse of generalised Vaidya spacetime
Abstract
We study the gravitational collapse of a generalised Vaidya spacetime in the context of the Cosmic Censorship hypothesis. We develop a general mathematical framework to study the conditions on the mass function so that future directed non-spacelike geodesics can terminate at the singularity in the past. Thus our result generalises earlier works on gravitational collapse of the combinations of Type-I and Type-II matter fields. Our analysis shows transparently that there exist classes of generalised Vaidya mass functions for which the collapse terminates with a locally naked central singularity. We calculate the strength of the these singularities to show that they are strong curvature singularities and there can be no extension of spacetime through them.
Keywords
Cite
@article{arxiv.1407.4309,
title = {Gravitational collapse of generalised Vaidya spacetime},
author = {Maombi D. Mkenyeleye and Rituparno Goswami and Sunil D. Maharaj},
journal= {arXiv preprint arXiv:1407.4309},
year = {2014}
}
Comments
8 pages, 2 figures, Changes in the text, Matches the accepted version in Physical Review D