Abstract
The behaviour of the outgoing light rays in the gravitational collapse of an inhomogeneous spherically symmetric dust cloud is analyzed. It is shown that, for an open subset of initial density distributions, the first singular event, which occurs at the center of symmetry, is the vertex of an infinity of future null geodesic cones which intersect future null infinity. The frequency of the corresponding light rays is infinitely redshifted.
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Communicated by S.-T. Yau
Part of this work was done when the author was a Visiting Professor at the Department of Mathematics, University of Paris 6, Paris, France
On leave of absence from Max Planck Institute for Astrophysics, D-8046 Garching, Federal Republic of Germany
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Christodoulou, D. Violation of cosmic censorship in the gravitational collapse of a dust cloud. Commun.Math. Phys. 93, 171–195 (1984). https://doi.org/10.1007/BF01223743
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DOI: https://doi.org/10.1007/BF01223743