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

被引：4

作者：

Llibre, Jaume ^{[1
]}

Yu, Jiang ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2009年 / 286卷 / 01期

关键词：

HAIRY BLACK-HOLES; COSMOLOGICAL CONSTANT; EXISTENCE;

D O I：

10.1007/s00220-008-0590-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页码：277 / 281

页数：5

共 50 条

[1] On the Periodic Orbits of the Static, Spherically Symmetric Einstein-Yang-Mills Equations
Jaume Llibre
Jiang Yu
[J]. Communications in Mathematical Physics, 2009, 286 : 277 - 281
[2] On the periodic solutions of the static, spherically symmetric Einstein-Yang-Mills equations
Buzzi, Claudio A.
Llibre, Jaume
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (12)
[3] Compact invariant sets of the static spherically symmetric Einstein-Yang-Mills equations
Starkov, Konstantin E.
[J]. PHYSICS LETTERS A, 2010, 374 (15-16) : 1728 - 1731
[4] STATIC SPHERICALLY SYMMETRICAL SOLUTIONS OF THE EINSTEIN-YANG-MILLS EQUATIONS
BREITENLOHNER, P
FORGACS, P
MAISON, D
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 163 (01) : 141 - 172
[5] SPHERICALLY SYMMETRIC STATIC SU(2) EINSTEIN-YANG-MILLS FIELDS
KUNZLE, HP
MASOODULALAM, AKM
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (04) : 928 - 935
[6] ANALYSIS OF THE STATIC SPHERICALLY SYMMETRICAL SU(N)-EINSTEIN-YANG-MILLS EQUATIONS
KUNZLE, HP
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 162 (02) : 371 - 397
[7] HAMILTONIAN TREATMENT OF SPHERICALLY SYMMETRIC EINSTEIN-YANG-MILLS SYSTEM
CORDERO, P
TEITELBOIM, C
[J]. ANNALS OF PHYSICS, 1976, 100 (1-2) : 607 - 631
[8] Classification of Static, Spherically Symmetric Solutions of the Einstein-Yang-Mills Theory with Positive Cosmological Constant
Peter Breitenlohner
Peter Forgács
Dieter Maison
[J]. Communications in Mathematical Physics, 2006, 261 : 569 - 611
[9] Classification of static, spherically symmetric solutions of the Einstein-Yang-Mills theory with positive cosmological constant
Breitenlohner, P
Forgács, P
Maison, D
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 261 (03) : 569 - 611
[10] Critical phenomena in the general spherically symmetric Einstein-Yang-Mills system
Maliborski, Maciej
Rinne, Oliver
[J]. PHYSICAL REVIEW D, 2018, 97 (04)

← 1 2 3 4 5 →