Existence of Axially Symmetric Static Solutions of the Einstein-Vlasov System

被引：23

作者：

Andreasson, Hakan ^{[1
]}

Kunze, Markus ^{[2
]}

Rein, Gerhard ^{[3
]}

机构：

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

[2] Univ Duisburg Essen, Fak Math, D-45117 Essen, Germany

[3] Univ Bayreuth, Fak Math Phys & Informat, D-95440 Bayreuth, Germany

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2011年 / 308卷 / 01期

关键词：

STATIONARY; MODELS;

D O I：

10.1007/s00220-011-1324-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove the existence of static, asymptotically flat non-vacuum spacetimes with axial symmetry where the matter is modeled as a collisionless gas. The axially symmetric solutions of the resulting Einstein-Vlasov system are obtained via the implicit function theorem by perturbing off a suitable spherically symmetric steady state of the Vlasov-Poisson system.

引用

页码：23 / 47

页数：25

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