SMOOTH STATIC SOLUTIONS OF THE EINSTEIN YANG-MILLS EQUATIONS

被引：91

作者：

SMOLLER, JA

WASSERMAN, AG

YAU, ST

MCLEOD, JB

机构：

[1] HARVARD UNIV,DEPT MATH,CAMBRIDGE,MA 02138

[2] UNIV PITTSBURGH,DEPT MATH,PITTSBURGH,PA 15260

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 143卷 / 01期

关键词：

D O I：

10.1007/BF02100288

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the Einstein/Yang-Mills equations in 3 + 1 space time dimensions with SU(2) gauge group and prove rigorously the existence of a globally defined smooth static solution. We show that the associated Einstein metric is asymptotically flat and the total mass is finite. Thus, for non-abelian gauge fields the Yang-Mills repulsive force can balance the gravitational attractive force and prevent the formation of singularities in spacetime.

引用

页码：115 / 147

页数：33

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