Wednesday, May 16, 2012

1205.3263 (Pankaj S. Joshi et al.)

Shell-crossings in Gravitational Collapse    [PDF]

Pankaj S. Joshi, Ravindra V. Saraykar
While studying the continual gravitational collapse of a massive matter cloud in general relativity towards examining collapse final states, an important issue is that of whether shell-crossing singularities can develop as the collapse evolves. We examine this here to show that for any spherically symmetric collapse in general, there is always a finite neighborhood of the center in which there are no shell-crossings taking place. It follows that in order to study the final genuine shell-focusing singularity of collapse where the physical radius of the matter cloud shrinks to a vanishing value, we can always consider without any loss of generality a collapsing ball of a finite comoving radius in which there are no shell-crossings taking place. This clarifies an important point for gravitational collapse studies.
View original: http://arxiv.org/abs/1205.3263

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