Naked singularities in dust collapse as an existence problem for O.D.E. at a singular point

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.

To appear on Diff. Geom. Appl. (submitted in September 2001)

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• Hamiltonian formulation of dust cloud collapse