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

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Authors

Tadmon, Calvin
Tchapnda, Sophonie Blaise

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The Royal Society

Abstract

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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Keywords

Global solution, Einstein–Yang–Mills–Higgs equations, Spherical symmetry, Bondi coordinates

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Citation

Tadmon, C & Tchapnda SB 2012, 'On the spherically symmetric Einstein-Yang-Mills-Higgs equations in Bondi coordinates', Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, vol. 468, no. 2146, pp. 3191-3214.