Naked singularities in dust collapse as an existence problem for O.D.E. at a singular point
Roberto Giambo', Giulio Magli
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.
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