Existence of CMC and constant areal time foliations in T2 symmetric spacetimes with Vlasov matter

被引：19

作者：

Andréasson, H

Rendall, AD

Weaver, M

机构：

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

[2] Max Planck Inst Gravitat Phys, Golm, Germany

[3] Univ Alberta, Dept Phys, Edmonton, AB, Canada

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2004年 / 29卷 / 1-2期

关键词：

Einstein's equations; Vlasov equation; constant mean curvature foliation;

D O I：

10.1081/PDE-120028852

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global structure of solutions of the Einstein equations coupled to the Vlasov equation is investigated in the presence of a two-dimensional symmetry group. It is. shown that there exist global CMC and areal time foliations. The proof is based on long-time existence theorems for the partial differential equations resulting from the Einstein-Vlasov system when conformal or areal coordinates are introduced.

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收藏

页码：237 / 262

页数：26

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