Abstract

We find Einstein–Yang–Mills (EYM) black hole solutions endowed with massless scalar hair in the presence of a potential V(ϕ) as function of the scalar field ϕ. Choosing V(ϕ)=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 asymptotically go in general to any known limits. A particular case is given, however, which admits an asymptotically anti-de Sitter limit in 6-dimensional spacetime. The role of the potential V(ϕ) in making double bounces (i.e. both a minimum and maximum radii) on a domain wall universe is highlighted.

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