Double-bounce domain-wall in Einstein-Yang-Mills-Scalar black holes

TL;DR

This paper discovers new Einstein-Yang-Mills black hole solutions with scalar hair, highlighting how the scalar potential influences double-bounce phenomena on domain wall universes, including an asymptotically AdS case in six dimensions.

Contribution

It introduces a novel class of EYM black holes with scalar hair that do not asymptote to known solutions, emphasizing the role of scalar potential in domain wall bounce behavior.

Findings

New EYM black hole solutions with scalar hair.

Scalar potential induces double-bounce behavior on domain walls.

Existence of an asymptotically AdS solution in 6D.

Abstract

We find Einstein-Yang-Mills (EYM) black hole solutions endowed with massless scalar hair in the presence of a potential $V\left(\phi \right) $ as function of the scalar field $\phi $. Choosing $V\left(\phi \right) =$constant (or zero) sets the scalar field to vanish leaving us with the EYM black holes. Our class of black hole solutions is new so that they do not asymptote in general to any known limits. Particular case is given, however, which admits an asymptotically anti de Sitter limit in $6-$dimensional spacetime. The role of the potential $V\left(\phi \right) $ in making double bounces (i.e. both a minimum and maximum radii) on a Domain Wall (DW) universe is highlighted.