%0 Journal Article
%T Initial data giving rise to naked singularities in spherically symmetric dust collapse
%A N¨¦stor Ortiz
%J Physics
%D 2012
%I arXiv
%R 10.1063/1.4748533
%X 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 -constant mass distribution- and zero initial velocity, while in another limit, it generates a globally naked singularity. We show that for initial data characterizing flat density profiles, as well as large initial velocities, the probability of forming a globally naked singularity is low.
%U http://arxiv.org/abs/1204.4481v2