Initial data giving rise to naked singularities in spherically symmetric dust collapse

Details Initial data giving rise to naked singularities in spherically symmetric dust collapse Initial data giving rise to naked singularities in spherically symmetric dust collapse

2012-04-19

arxiv.org/abs/1204.4481v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 5 figures, prepared for the proceedings of the IX Workshop of the Gravitational and Mathematical Physics Division of

Scientific paper

The phase space corresponding to a particular four-parameter family of initial data for the gravitational collapse of a spherically symmetric dust cloud is investigated. In a certain limit of the parameters, this family reproduces the case of homogenous mass density and zero initial velocity, while in another limit, it generates a globally naked singularity. We show that for initial data carachterizing flat density profiles, as well as large initial velocities, the probability of forming a globally naked singularity is low.

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