Black strings and solitons in five dimensional space-time with positive cosmological constant

TL;DR

This paper numerically constructs new regular and black hole solutions in a five-dimensional Einstein-Yang-Mills model with a positive cosmological constant, revealing unexpected asymptotic behaviors.

Contribution

It introduces novel five-dimensional solutions that extend known four-dimensional monopoles and black holes, with unique asymptotic properties.

Findings

New regular and black hole solutions in five dimensions

Solutions resemble 4D monopoles and black holes near origin/horizon

Exhibit unexpected asymptotic behavior

Abstract

We consider the classical equations of the Einstein-Yang-Mills model in five space-time dimensions and in the presence of a cosmological constant. We assume that the fields do not depend on the extra dimension and that they are spherically symmetric with respect to the three standard space dimensions. The equations are then transformed into a set of ordinary differential equations that we solve numerically. We construct new types of regular (resp. black holes) solutions which, close to the origin (resp. the event horizon) resemble the 4-dimensional gravitating monopole (resp. non abelian black hole) but exhibit an unexpected asymptotic behaviour.