On the existence of topological dyons and dyonic black holes in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups

BAXTER, J. Erik (2018). On the existence of topological dyons and dyonic black holes in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups. Journal of Mathematical Physics, 59 (5), 052502.

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Abstract

Here we study the global existence of “hairy” dyonic black hole and dyon solutions to four-dimensional, anti-de Sitter Einstein-Yang-Mills theories for a general simply connected and semisimple gauge group G, for the so-called topologically symmetric systems, concentrating here on the regular case.We generalise here cases in the literature which considered purely magnetic spherically symmetric solutions for a general gauge group and topological dyonic solutions for su(N). We are able to establish the global existence of non-trivial solutions to all such systems, both near existing embedded solutions and as the absolute value of Lambda goes to infinity. In particular, we can identify non-trivial solutions where the gauge field functions have no zeroes, which in the su(N) case proved important to stability. We believe that these are the most general analytically proven solutions in 4D anti-de Sitter Einstein-Yang-Mills systems to date.

Item Type:	Article
Additional Information:	58 pages, 1 table.
Uncontrolled Keywords:	Black holes, Hairy black holes, dyons, anti-de Sitter, topological, existence, gauge group, Einstein-Yang-Mills
Research Institute, Centre or Group - Does NOT include content added after October 2018:	Materials and Engineering Research Institute > Engineering Research
Departments - Does NOT include content added after October 2018:	Faculty of Science, Technology and Arts > Department of Engineering and Mathematics
Identification Number:	https://doi.org/10.1063/1.5000349
Page Range:	052502
Depositing User:	Erik Baxter
Date Deposited:	22 May 2018 09:15
Last Modified:	18 Mar 2021 06:23
URI:	https://shura.shu.ac.uk/id/eprint/21295

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