On the Periodic Orbits of the Static, Spherically Symmetric Einstein-Yang-Mills Equations

被引：0
作者：
Jaume Llibre
Jiang Yu
机构：
[1] Universitat Autònoma de Barcelona,Departament de Matemàtiques
[2] Shanghai Jiaotong University,Department of Mathematics
来源：
Communications in Mathematical Physics | 2009年 / 286卷
关键词：
Black Hole; Periodic Orbit; Invariant Manifold; Black Hole Solution; Hairy Black Hole;
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学科分类号：
摘要：
In this paper we analyze the existence of the periodic orbits of the static, spherically symmetric Einstein–Yang–Mills Equations by using the qualitative theory of the ordinary differential equation. We prove that there are no periodic orbits restricted to some invariant set of codimension 1. Furthermore if there is a periodic orbit out of this invariant set, then there must be other periodic orbits, which are symmetric to the first one. We also have results on the non–existence of periodic orbits when the cosmological constant is negative.
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页码：277 / 281
页数：4
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