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

TL;DR

This paper investigates static, spherically symmetric solutions of the Einstein-Yang-Mills equations in six dimensions, revealing multiple solution branches and deriving an effective 4D action with scalar fields and unique interactions.

Contribution

It introduces a self-consistent ansatz for 6D Einstein-Yang-Mills equations, numerically constructs solutions, and derives an effective 4D Einstein-Yang-Mills-Higgs theory with novel scalar interactions.

Findings

Multiple branches of solutions found numerically

Effective 4D action includes three scalar fields

Scalar fields induce specific interactions

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.