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arXiv · 1208.3589

On the existence of dyons and dyonic black holes in Einstein-Yang-Mills theory

Brien C. Nolan·Elizabeth Winstanley
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Abstract

We study dyonic soliton and black hole solutions of the ${\mathfrak {su}}(2)$ Einstein-Yang-Mills equations in asymptotically anti-de Sitter space. We prove the existence of non-trivial dyonic soliton and black hole solutions in a neighbourhood of the trivial solution. For these solutions the magnetic gauge field function has no zeros and we conjecture that at least some of these non-trivial solutions will be stable. The global existence proof uses local existence results and a non-linear perturbation argument based on the (Banach space) implicit function theorem.

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Brien C. Nolan, Elizabeth Winstanley. 2012-10-30. On the existence of dyons and dyonic black holes in Einstein-Yang-Mills theory. https://doi.org/10.1088/0264-9381%2F29%2F23%2F235024

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