Existence of topological hairy dyons and dyonic black holes in anti-de Sitter SU(N) Einstein-Yang-Mills theory

BAXTER, J. Erik (2016). Existence of topological hairy dyons and dyonic black holes in anti-de Sitter SU(N) Einstein-Yang-Mills theory. Journal of Mathematical Physics, 57 (2), 022505.

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Link to published version:: 10.1063/1.4940337

Abstract

We investigate dyonic black hole and dyon solutions of four-dimensional SU(N) Einstein-Yang-Mills theory with a negative cosmological constant. We derive a set of field equations in this case, and prove the existence of non-trivial solutions to these equations for any integer N, with 2N − 2 gauge degrees of freedom. We do this by showing that solutions exist locally at infinity, and at the event horizon for black holes and the origin for solitons. We then prove that we can patch these solutions together regularly into global solutions that can be integrated arbitrarily far into the asymptotic regime. Our main result is to show that dyonic solutions exist in open sets in the parameter space, and hence that we can find non-trivial dyonic solutions in a number of regimes whose magnetic gauge fields have no zeros, which is likely important to the stability of the solutions. Keywords : Dyons, Black holes, topological, SU(N), EYM, Existence

Item Type: Article
Research Institute, Centre or Group: Materials and Engineering Research Institute > Materials Analysis and Research Services
Identification Number: 10.1063/1.4940337
Related URLs:
Depositing User: Erik Baxter
Date Deposited: 19 Feb 2016 16:09
Last Modified: 20 Oct 2016 00:29
URI: http://shura.shu.ac.uk/id/eprint/11545

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