NAKED SINGULARITIES IN A SELF-SIMILAR TOLMAN-BONDI SPACETIME

Citation
A. Sil et S. Chatterjee, NAKED SINGULARITIES IN A SELF-SIMILAR TOLMAN-BONDI SPACETIME, General relativity and gravitation, 28(7), 1996, pp. 775-786
Citations number
11
Categorie Soggetti
Physics
ISSN journal
00017701
Volume
28
Issue
7
Year of publication
1996
Pages
775 - 786
Database
ISI
SICI code
0001-7701(1996)28:7<775:NSIAST>2.0.ZU;2-O
Abstract
Following Lake and Zannias we show that naked strong curvature singula rities develop in Tolman-Bondi inhomogeneous spherically symmetric spa cetimes for all the three cases of a bound, unbound and marginally bou nd gravitational collapse. It is observed that the assumption of self- similarity rather than the spherical symmetry is crucial in determinin g the nature of the singularity in any gravitationally collapsing conf iguration.