Abstract
We show that if a solution of the spherically symmetric Vlasov-Einstein system develops a singularity at all then the first singularity has to appear at the center of symmetry. The main tool is an estimate which shows that a solution is global if all the matter remains away from the center of symmetry.
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Communicated by S. T. Yau
Research supported in part by NSF DMS 9101517
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Rein, G., Rendall, A.D. & Schaeffer, J. A regularity theorem for solutions of the spherically symmetric Vlasov-Einstein system. Commun.Math. Phys. 168, 467–478 (1995). https://doi.org/10.1007/BF02101839
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DOI: https://doi.org/10.1007/BF02101839