Gravitational collapse of barotropic spherical fluids

Details Gravitational collapse of barotropic spherical fluids Gravitational collapse of barotropic spherical fluids

2003-03-11

arxiv.org/abs/gr-qc/0303043v2

Gen.Rel.Grav. 36 (2004) 1279-1298

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, LaTeX2e

Scientific paper

10.1023/B:GERG.0000022388.11306.

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.

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