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

Authors
  • Tadmon, Calvin
  • Tchapnda, Sophonie Blaise
Type
Preprint
Publication Date
Mar 15, 2012
Submission Date
Mar 15, 2012
Identifiers
DOI: 10.1098/rspa.2012.0171
Source
arXiv
License
Yellow
External links

Abstract

We revisit and generalize, to the Einstein-Yang-Mills-Higgs system, previous results of D. Christodoulou and D. Chae concerning global solutions for the Einstein-scalar field and the Einstein-Maxwell-Higgs 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 Einstein-Maxwell-Higgs 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 Einstein-Maxwell-Higgs and Einstein-Yang-Mills-Higgs models.

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