Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics

被引：12

作者：

Fjallborg, Mikael ^{[1
,2
]}

Heinzle, J. Mark ^{[3
]}

Uggla, Claes ^{[4
]}

机构：

[1] Univ Karlstad, Dept Math, S-65188 Karlstad, Sweden

[2] Chalmers Univ Technol, Dept Math, S-41296 Gothenburg, Sweden

[3] Univ Vienna, Inst Theoret Phys, A-1090 Vienna, Austria

[4] Univ Karlstad, Dept Phys, S-65188 Karlstad, Sweden

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2007年 / 143卷

关键词：

D O I：

10.1017/S0305004107000540

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study equilibrium states in relativistic galactic dynamics which are described by stationary solutions of the Einstein-Vlasov system for collisionless matter. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations on a bounded state space. Based on a dynamical systems analysis we derive new theorems that guarantee that the steady state solutions have finite radii and masses.

引用

页码：731 / 752

页数：22

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