STATIC SOLUTIONS OF THE SPHERICALLY SYMMETRICAL VLASOV-EINSTEIN SYSTEM

被引：38
|
作者：
REIN, G
机构：
[1] Mathematisches Institut der Universität München, 80333, München
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1994年 / 115卷
关键词：
D O I：
10.1017/S0305004100072303
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Vlasov Einstein system in a spherically symmetric setting and prove the existence of static solutions which are asymptotically flat and have finite total mass and finite extension of the matter. Among these there are smooth. singularity-free solutions, which have a regular centre and have isotropic or anisotropic pressure, and solutions which have a Schwarzschild-singularity at the centre.
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页码：559 / 570
页数：12
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