Gravitational collapse with tangential pressure
Loading...
Date
2011-05-06
Authors
Malafarina, D.
Joshi, Pankaj S.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Using the general formalism for spherical gravitational collapse developed in [1], we investigate here the final fate of a spherical distribution of a matter cloud, where radial pressures vanish but tangential pressures are non-zero. Within this framework, firstly we examine the effect of introducing a generic small pressure in a wellknown black hole formation process, which is that of an otherwise pressure-free dust cloud. The intriguing result we find is that a dust collapse that was going to a black hole final state could now go to a naked singularity final configuration, when arbitrarily small tangential pressures are introduced. The implications of such a scenario are discussed in some detail. Secondly, the approach here allows us to generalize the earlier results obtained on
gravitational collapse with non-zero tangential pressure, in the presence of a non-zero cosmological constant. Finally, we discuss the genericity of black hole and naked singularity formation in collapse with non-zero tangential pressure. The treatment here gives a unified and complete picture on collapse final states, in terms of black hole and naked singularity formation, generalizing the earlier results obtained for this class of collapse models. Thus the role of tangential stresses towards determining collapse endstates emerges in a straightforward and transparent manner in our treatment.
Description
Keywords
Research Subject Categories::NATURAL SCIENCES::Physics, gravitational collapse, black holes, naked singularity
Citation
Malafarina Daniele, Pankaj S. Joshi; 2011; Gravitational collapse with tangential pressure; http://arxiv.org/find/all/1/all:+malafarina/0/1/0/all/0/1