STATIC SOLUTIONS OF THE SPHERICALLY SYMMETRICAL VLASOV-EINSTEIN SYSTEM

被引：38

作者：

REIN, G

机构：

[1] Mathematisches Institut der Universität München, 80333, München

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1994年 / 115卷

关键词：

D O I：

10.1017/S0305004100072303

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Vlasov Einstein system in a spherically symmetric setting and prove the existence of static solutions which are asymptotically flat and have finite total mass and finite extension of the matter. Among these there are smooth. singularity-free solutions, which have a regular centre and have isotropic or anisotropic pressure, and solutions which have a Schwarzschild-singularity at the centre.

引用

页码：559 / 570

页数：12

共 50 条

[31] Local existence and continuation criterion for solutions of the spherically symmetric Einstein-Vlasov-Maxwell system
Noundjeu, P
Noutchegueme, N
GENERAL RELATIVITY AND GRAVITATION, 2004, 36 (06) : 1373 - 1398
[32] Uniqueness of static, isotropic low-pressure solutions of the Einstein–Vlasov system
Maximilian Thaller
Tomohiro Harada
Letters in Mathematical Physics, 2020, 110 : 1877 - 1901
[33] Local Existence and Continuation Criterion for Solutions of the Spherically Symmetric Einstein-Vlasov-Maxwell System
P. Noundjeu
N. Noutchegueme
General Relativity and Gravitation, 2004, 36 : 1373 - 1398
[34] Regularity Results for the Spherically Symmetric Einstein-Vlasov System
Andreasson, Hakan
ANNALES HENRI POINCARE, 2010, 11 (05): : 781 - 803
[35] Comments on the paper ‘Static solutions of the Vlasov–Einstein system’ by G. Wolansky
Håkan Andréasson
Markus Kunze
Archive for Rational Mechanics and Analysis, 2020, 235 : 783 - 791
[36] NONEXISTENCE OF STATIC, SPHERICALLY SYMMETRICAL SOLUTIONS WITH TORSION POTENTIAL
HAMMOND, RT
CLASSICAL AND QUANTUM GRAVITY, 1991, 8 (08) : L175 - L177
[37] On the steady states of the spherically symmetric Einstein-Vlasov system
Andreasson, Hakan
Rein, Gerhard
CLASSICAL AND QUANTUM GRAVITY, 2007, 24 (07) : 1809 - 1832
[38] STATIC SPHERICALLY SYMMETRICAL SOLUTIONS IN GENERAL PROJECTIVE RELATIVITY
SINGH, T
SINGH, GP
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1990, 29 (08) : 873 - 884
[39] On the existence, structure and stability of static and stationary solutions of the Einstein-Vlasov system
Andreasson, Hakan
PLASMA PHYSICS AND RELATIVISTIC FLUIDS, 2014, 1578 : 129 - 139
[40] Veiled Singularities for the Spherically Symmetric Massless Einstein–Vlasov System
Alan D. Rendall
Juan J. L. Velázquez
Annales Henri Poincaré, 2017, 18 : 3565 - 3631

← 1 2 3 4 5 →