Black strings in (4+1)-dimensional Einstein-Yang-Mills theory

TL;DR

This paper investigates static uniform black string solutions in a five-dimensional Einstein-Yang-Mills model, revealing new solutions, analyzing their properties, and discussing the non-existence of certain black holes.

Contribution

It introduces new classes of black string solutions in (4+1)D Einstein-Yang-Mills theory and explores their properties and domain of existence.

Findings

Identified two classes of black string solutions with different magnetic charges.

Discovered new four-dimensional solutions via boosting five-dimensional configurations.

Provided an argument against the existence of finite mass hyperspherical black holes in SU(2) Einstein-Yang-Mills theory.

Abstract

We study two classes of static uniform black string solutions in a (4+1)-dimensional SU(2) Einstein-Yang-Mills model. These configurations possess a regular event horizon and corresponds in a 4-dimensional picture to axially symmetric black hole solutions in an Einstein-Yang-Mills-Higgs-U(1)-dilaton theory. In this approach, one set of solutions possesses a nonzero magnetic charge, while the other solutions represent black holes located in between a monopole-antimonopole pair. A detailed analysis of the solutions' properties is presented, the domain of existence of the black strings being determined. New four dimensional solutions are found by boosting the five dimensional configurations. We also present an argument for the non-existence of finite mass hyperspherically symmetric black holes in SU(2) Einstein-Yang-Mills theory.