Naked singularities in dust collapse as an existence problem for O.D.E. at a singular point
Mathematical Physics
2014-08-07 v1 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0209059,
title = {Naked singularities in dust collapse as an existence problem for O.D.E. at a singular point},
author = {Roberto Giambo' and Giulio Magli},
journal= {arXiv preprint arXiv:math-ph/0209059},
year = {2014}
}
Comments
To appear on Diff. Geom. Appl. (submitted in September 2001)