Gravitational collapse of barotropic spherical fluids
arXiv:gr-qc/0303043 · doi:10.1023/B:GERG.0000022388.11306.e1
Abstract
The gravitational collapse of spherical, barotropic perfect fluids is analyzed here. For the first time, the final state of these systems is studied without resorting to simplifying assumptions - such as self-similarity - using a new approach based on non-linear o.d.e. techniques, and formation of naked singularities is shown to occur for solutions such that the mass function is analytic in a neighborhood of the spacetime singularity.
17 pages, LaTeX2e