Static solutions of the Vlasov-Einstein system

被引：0

作者：

Wolansky, G ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2001年 / 156卷 / 03期

关键词：

D O I：

10.1007/s002050000122

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Static solutions of the SO(3)-symmetric Vlasov-Einstein system are studied via a variational approach. For the constitutive relation of the Emden-Fowler type phi (E, F) = Esigma +1 F-k we prove the existence of such solutions of sufficiently small mass-energy, provided 0 < <sigma> < k + 3/2. These solutions are local minimizers of the energy-Casimir functional, subjected to a variational barrier.

引用

页码：205 / 230

页数：26

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