Gravitating Yang-Mills dyon vortices in 4+1 spacetime dimensions
Yves Brihaye, Eugen Radu

TL;DR
This paper explores vortex solutions in five-dimensional Einstein-Yang-Mills theory with electric charge, analyzing their properties through dimensional reduction to a four-dimensional Einstein-Yang-Mills-Higgs-U(1)-dilaton model.
Contribution
It introduces a general axially symmetric ansatz for gravitating Yang-Mills dyons in 5D and studies their spherically symmetric solutions.
Findings
Spherically symmetric solutions are characterized and analyzed.
The properties of vortex-type solutions in 5D Einstein-Yang-Mills theory are elucidated.
Dimensional reduction links 5D solutions to 4D Einstein-Yang-Mills-Higgs-U(1)-dilaton models.
Abstract
We consider vortex-type solutions in dimensions of the Einstein gravity coupled to a nonabelian SU(2) field posessing a nonzero electric part. After the dimensional reduction, this corresponds to a Einstein-Yang-Mills-Higgs-U(1)-dilaton model. A general axially symmetric ansatz is presented, and the properties of the spherically symmetric solutions are analysed.
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