Initial Data and the Final Fate of Inhomogeneous Dust Collapse

Details Initial Data and the Final Fate of Inhomogeneous Dust Collapse Initial Data and the Final Fate of Inhomogeneous Dust Collapse

1996-12-10

arxiv.org/abs/gr-qc/9612023v1

Class.Quant.Grav. 14 (1997) 1223-1236

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, ordinary TeX file, no figures

Scientific paper

10.1088/0264-9381/14/5/024

We examine here the relevance of the initial state of a collapsing dust cloud towards determining it's final fate in the course of a continuing gravitational collapse. It is shown that given any arbitrary matter distribution $M(r)$ for the cloud at the initial epoch, there is always a freedom to choose rest of the initial data, namely the initial velocities of the collapsing spherical shells, so that the collapse could result either in a black hole or a naked singularity depending on this choice. Thus, given the initial density profile, to achieve the desired end state of the gravitational collapse one has to give a suitable initial velocity to the cloud. We also characterize here a wide new family of black hole solutions resulting from inhomogeneous dust collapse. These configurations obey the usual energy conditions demanding the positivity of energy density.

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