EXISTENCE OF INFINITELY-MANY SMOOTH, STATIC, GLOBAL-SOLUTIONS OF THE EINSTEIN-YANG-MILLS EQUATIONS

被引：72

作者：

SMOLLER, JA

WASSERMAN, AG

机构：

[1] Mathematics Department, University of Michigan, Ann Arbor, 48109-1003, MI

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 151卷 / 02期

关键词：

D O I：

10.1007/BF02096771

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove the existence of infinitely-many globally defined singularity-free solutions, to the EYM equations with SU(2) gauge group. The solutions are indexed by a coupling constant, have distinct winding numbers, and their corresponding Einstein metrics decay at infinity to the flat Minkowski metric. Each solution has a finite (ADM) mass; these masses are derived from the solutions, and are not arbitrary constants.

引用

页码：303 / 325

页数：23