Naked singularities in dust collapse as an existence problem for ODE at a singular point

doi:10.1016/S0926-2245(02)00163-8

Differential Geometry and its Applications

Volume 18, Issue 3, May 2003, Pages 285-293

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Abstract

The final state of the gravitational collapse of a marginally bound dust cloud is formulated in terms of an existence problem for the non-linear differential equation governing radial null geodesics near the singular point. Rigorous results are proved, covering the complete spectrum of the possible initial data.

MSC

34C11

83C75

Keywords

Cosmic Censorship

Dust gravitational collapse

Naked singularity existence

Ordinary differential equations with singularities