Role of initial data in spherical collapse

Abstract

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.

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

References in corpus (5)

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• Naked Singularity Formation In Brans-Dicke Theory
• Scalar field collapse in Gauss-Bonnet gravity
• Collapsing spherical star in Scalar-Einstein-Gauss-Bonnet gravity with a quadratic coupling
• Instability of black hole formation in gravitational collapse
• On trapped surface formation in gravitational collapse II
• Scalar Field Collapse with an exponential potential
• On the genericity of spacetime singularities
• Asymptotic behavior of dynamical variables and naked singularity formation in spherically symmetric gravitational collapse