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.
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页码：205 / 230
页数：26
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