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Shell crossing in generalized Tolman-Bondi spacetimes

Sergio M. C. V. Goncalves
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Abstract

We study the occurrence of shell crossing in spherical weakly charged dust collapse in the presence of a non-vanishing cosmological constant. We find that shell crossing always occurs from generic time-symmetric regular initial data, near the center of the matter configuration. For non-time-symmetric initial data, the occurrence---or lack thereof---of shell crossing is determined by the initial velocity profile, for a given mass and charge distribution. Physically reasonable initial data inevitably leads to shell crossing (near the center) before the minimum bounce radius is reached.

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Sergio M. C. V. Goncalves. 2001-07-26. Shell crossing in generalized Tolman-Bondi spacetimes. https://doi.org/10.1103/physrevd.63.124017

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