English

Shell crossing in generalized Tolman-Bondi spacetimes

General Relativity and Quantum Cosmology 2014-11-17 v1

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.

Cite

@article{arxiv.gr-qc/0107087,
  title  = {Shell crossing in generalized Tolman-Bondi spacetimes},
  author = {Sergio M. C. V. Goncalves},
  journal= {arXiv preprint arXiv:gr-qc/0107087},
  year   = {2014}
}

Comments

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

R2 v1 2026-07-22T12:34:11.979Z