A class of counterexamples to Jeans' theorem for the Vlasov-Einstein system

被引：24

作者：

Schaeffer, J ^{[1
]}

机构：

[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1999年 / 204卷 / 02期

关键词：

D O I：

10.1007/s002200050647

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Vlasov-Poisson and Vlasov-Einstein systems model the motion of a self gravitating system such as a galaxy. The Vlasov-Poisson system is nonrelativistic. Jeans' theorem states that every spherically symmetric solution of the Vlasov-Poisson system that is independent of time may be expressed as a function of the two invariants, energy and angular momentum, This paper shows this is not the case for the Vlasov-Einstein system.

引用

页码：313 / 327

页数：15

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