Static solutions of a 6-dimensional Einstein-Yang-Mills model

Abstract

We study the Einstein-Yang-Mills equations in a 6-dimensional space-time. We make a self-consistent static, spherically symmetric ansatz for the gauge fields and the metric. The metric of the manifold associated with the two extra dimensions contains off-diagonal terms. The classical equations are solved numerically and several branches of solutions are constructed. We also present an effective 4-dimensional action from which the equations can equally well be derived. This action is a standard Einstein-Yang-Mills-Higgs theory extended by three scalar fields. Two of the scalar fields are interpreted as dilatons, while the one associated with the off-diagonal term of the metric induces very specific interactions.

10 REVTEX pages, 3 eps-figures

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Cited by in corpus (9)

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• On the stability of soliton and hairy black hole solutions of $\mathfrak{su}(N)$ Einstein-Yang-Mills theory with a negative cosmological constant
• Black strings and solitons in five dimensional space-time with positive cosmological constant
• The clash of symmetries in a Randall-Sundrum-like spacetime
• Spherically symmetric solutions of a (4+n)-dimensional Einstein-Yang-Mills model with cosmological constant
• Gravitating Yang-Mills dyon vortices in 4+1 spacetime dimensions
• Gravitating non-Abelian solitons and hairy black holes in higher dimensions
• Can Dirac fermions Destroy Yang-Mills Black Hole?