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

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

2012-03-15

arxiv.org/abs/1203.3291v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages

Scientific paper

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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