Veiled Singularities for the Spherically Symmetric Massless Einstein–Vlasov System

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作者
Alan D. Rendall
Juan J. L. Velázquez
机构
[1] Johannes Gutenberg Universität,Institut für Mathematik
[2] University of Bonn,Institute of Applied Mathematics
来源
Annales Henri Poincaré | 2017年 / 18卷
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摘要
This paper continues the investigation of the formation of naked singularities in the collapse of collisionless matter initiated in Rendall and Velázquez (Annales Henri Poincaré 12:919–964, 2011). There the existence of certain classes of non-smooth solutions of the Einstein–Vlasov system was proved. Those solutions are self-similar and hence not asymptotically flat. To obtain solutions which are more physically relevant it makes sense to attempt to cut off these solutions in a suitable way so as to make them asymptotically flat. This task, which turns out to be technically challenging, will be carried out in this paper.
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页码:3565 / 3631
页数:66
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