Gravitational collapse of barotropic spherical fluids
General Relativity and Quantum Cosmology
2009-11-10 v2 Astrophysics
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.
Keywords
Cite
@article{arxiv.gr-qc/0303043,
title = {Gravitational collapse of barotropic spherical fluids},
author = {Roberto Giambo' and Fabio Giannoni and Giulio Magli and Paolo Piccione},
journal= {arXiv preprint arXiv:gr-qc/0303043},
year = {2009}
}
Comments
17 pages, LaTeX2e