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arXiv · 1507.08915

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

Brien C. Nolan·Elizabeth Winstanley
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Abstract

We investigate the stability of four-dimensional dyonic soliton and black hole solutions of ${\mathfrak {su}}(2)$ Einstein-Yang-Mills theory in anti-de Sitter space. We prove that, in a neighbourhood of the embedded trivial (Schwarzschild-)anti-de Sitter solution, there exist non-trivial dyonic soliton and black hole solutions of the field equations which are stable under linear, spherically symmetric, perturbations of the metric and non-Abelian gauge field.

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Brien C. Nolan, Elizabeth Winstanley. 2016-01-23. On the stability of dyons and dyonic black holes in Einstein-Yang-Mills theory. https://doi.org/10.1088/0264-9381%2F33%2F4%2F045003

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