Veiled Singularities for the Spherically Symmetric Massless Einstein-Vlasov System

被引:3
|
作者
Rendall, Alan D. [1 ]
Velazquez, Juan J. L. [2 ]
机构
[1] Johannes Gutenberg Univ Mainz, Inst Math, Staudingerweg 9, D-55099 Mainz, Germany
[2] Univ Bonn, Inst Appl Math, Endenicher Allee 60, D-53115 Bonn, Germany
来源
ANNALES HENRI POINCARE | 2017年 / 18卷 / 11期
关键词
GRAVITATIONAL COLLAPSE; SCALAR FIELD;
D O I
10.1007/s00023-017-0607-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper continues the investigation of the formation of naked singularities in the collapse of collisionless matter initiated in Rendall and Velazquez (Annales Henri Poincar, 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:67
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