Deformed black strings in 5-dimensional Einstein-Yang-Mills theory

TL;DR

This paper constructs the first examples of deformed non-abelian black strings in a 5D Einstein-Yang-Mills model, revealing two solution branches with properties influenced by gravitational coupling.

Contribution

It introduces novel deformed black string solutions in 5D Einstein-Yang-Mills theory with axially symmetric horizons, expanding understanding of higher-dimensional black objects.

Findings

Two solution branches exist for all gravitational couplings.

The second branch's behavior varies significantly with coupling strength.

Solutions feature deformed S^2 x R horizon topology.

Abstract

We construct the first examples of deformed non-abelian black strings in a 5-dimensional Einstein-Yang-Mills model. Assuming all fields to be independent of the extra coordinate, we construct deformed black strings, which in the 4-dimensional picture correspond to axially symmetric non-abelian black holes in gravity-dilaton theory. These solutions thus have deformed S^2 x R horizon topology. We study fundamental properties of the black strings and find that for all choices of the gravitational coupling two branches of solutions exist. The limiting behaviour of the second branch of solutions however depends strongly on the choice of the gravitational coupling.