Rotating, Stationary, Axially Symmetric Spacetimes with Collisionless Matter

被引：24

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 Cologne, Math Inst, D-50931 Cologne, Germany

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

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2014年 / 329卷 / 02期

关键词：

EXISTENCE; MODELS;

D O I：

10.1007/s00220-014-1904-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The existence of stationary solutions to the Einstein-Vlasov system which are axially symmetric and have non-zero total angular momentum is shown. This provides mathematical models for rotating, general relativistic and asymptotically flat non-vacuum spacetimes. If angular momentum is allowed to be non-zero, the system of equations to solve contains one semilinear elliptic equation which is singular on the axis of rotation. This can be handled very efficiently by recasting the equation as one for an axisymmetric unknown on .

引用

页码：787 / 808

页数：22

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