Shell crossing in generalized Tolman-Bondi spacetimes

Details Shell crossing in generalized Tolman-Bondi spacetimes Shell crossing in generalized Tolman-Bondi spacetimes

2001-07-26

arxiv.org/abs/gr-qc/0107087v1

Phys.Rev. D63 (2001) 124017

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, RevTeX, 2 eps figures; matches published version

Scientific paper

10.1103/PhysRevD.63.124017

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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