Role of initial data in spherical collapse

Details Role of initial data in spherical collapse Role of initial data in spherical collapse

2002-06-14

arxiv.org/abs/gr-qc/0206042v3

Phys.Rev. D69 (2004) 064027

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, Revtex4, Revised version, To appear in Physical Review D

Scientific paper

10.1103/PhysRevD.69.064027

We bring out here the role of initial data in causing the black hole and naked singularity phases as the final end state of a continual gravitational collapse. The collapse of a type I general matter field is considered, which includes most of the known physical forms of matter. It is shown that given the distribution of the density and pressure profiles at the initial surface from which the collapse evolves, there is a freedom in choosing rest of the free functions, such as the velocities of the collapsing shells, so that the end state could be either a black hole or a naked singularity depending on this choice. It is thus seen that it is the initial data that determines the end state of spherical collapse in terms of these outcomes, and we get a good picture of how these phases come about.

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