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

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

2002-09-27

arxiv.org/abs/math-ph/0209059v1

Physics

Mathematical Physics

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

Scientific paper

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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