On the spherically symmetric Einstein-Yang-Mills-Higgs equations in Bondi coordinates

被引：2

作者：

Tadmon, Calvin ^{[1
,2
]}

Tchapnda, Sophonie Blaise ^{[3
]}

机构：

[1] Univ Dschang, Dept Math & Comp Sci, Dschang, Cameroon

[2] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa

[3] Univ Yaounde I, Dept Math, Yaounde, Cameroon

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2012年 / 468卷 / 2146期

关键词：

global solution; Einstein-Yang-Mills-Higgs equations; spherical symmetry; Bondi coordinates; 4-DIMENSIONAL MINKOWSKI SPACE; ZERO-ORDER STRUCTURE; GLOBAL EXISTENCE; WORMHOLE SOLUTIONS; COUPLED EINSTEIN; BLACK-HOLES; SYSTEM; FIELDS;

D O I：

10.1098/rspa.2012.0171

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We revisit and generalize, to the Einstein-Yang-Mills-Higgs (EYMH) system, previous results of Christodoulou and Chae concerning global solutions for the Einstein-scalar field and the Einstein-Maxwell-Higgs (EMH) equations. The novelty of the present work is twofold. For one thing, the assumption on the self-interaction potential is improved. For another thing, explanation is furnished why the solutions obtained here and those proved by Chae for the EMH system decay more slowly than those established by Christodoulou in the case of self-gravitating scalar fields. Actually, this latter phenomenon stems from the non-vanishing local charge in EMH and EYMH models.

引用

页码：3191 / 3214

页数：24

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