scholarly journals Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations

1993 ◽  
Vol 151 (2) ◽  
pp. 303-325 ◽  
Author(s):  
J. A. Smoller ◽  
A. G. Wasserman
Keyword(s):  
Global Solutions ◽  
Yang Mills

scholarly journals Some global solutions of the Yang-Mills equations in Minkowski space

1981 ◽  
Vol 81 (2) ◽  
pp. 171-187 ◽  
Author(s):  
Robert T. Glassey ◽  
Walter A. Strauss
Keyword(s):  
Minkowski Space ◽  
Global Solutions ◽  
Yang Mills

scholarly journals On the spherically symmetric Einstein–Yang–Mills–Higgs equations in Bondi coordinates

2012 ◽  
Vol 468 (2146) ◽  
pp. 3191-3214 ◽  
Author(s):  
Calvin Tadmon ◽  
Sophonie Blaise Tchapnda
Keyword(s):  
Scalar Field ◽  
Interaction Potential ◽  
Global Solutions ◽  
Scalar Fields ◽  
The Self ◽  
Spherically Symmetric ◽  
Yang Mills ◽  
Local Charge

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.

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