Post-Newtonian approximation of the Vlasov-Nordstrom system

被引：3

作者：

Bauer, S ^{[1
]}

机构：

[1] Univ Duisburg Gesamthsch, D-45117 Essen, Germany

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 30卷 / 07期

关键词：

classical limit; Darwin system; Vlasov-Nordstrom system; 1.5 post-Newtonian approximation;

D O I：

10.1081/PDE-200064434

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Nordstrom-Vlasov system, which describes the dynamics of a self-gravitating ensemble of collisionless particles in the framework of the Nordstrom scalar theory of gravitation. If the speed of light c is considered as a parameter, it is known that in the Newtonian limit c -> infinity the Vlasov-Poisson system is obtained. In this paper we determine a higher approximation and establish a pointwise error estimate of order O(c(-4)). Such an approximation is usually called a 1.5 post-Newtonian approximation.

引用

页码：957 / 985

页数：29

共 26 条

[1] Global classical solutions to the spherically symmetric Nordstrom-Vlasov system [J].