Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime I. Classical Solutions
General Relativity and Quantum Cosmology
2008-11-26 v2 Astrophysics
High Energy Physics - Theory
Abstract
We study the collapse of a spherically symmetric dust distribution in -dimensional AdS spacetime. We investigate the role of dimensionality, and the presence of a negative cosmological constant, in determining the formation of trapped surfaces and the end state of gravitational collapse. We obtain the self-similar solution for the case of zero cosmological constant, and show that one cannot construct a self-similar solution when a cosmological constant is included.
Cite
@article{arxiv.0712.1413,
title = {Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime I. Classical Solutions},
author = {Rakesh Tibrewala and Sashideep Gutti and T. P. Singh and Cenalo Vaz},
journal= {arXiv preprint arXiv:0712.1413},
year = {2008}
}
Comments
19 pages, sections on surface gravity removed, section on self similar solution expanded, appendix removed, references added. To appear in Phys. Rev.D