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We present a slowly rotating generalization of a black hole modeled by a Solvhorizon geometry, in five dimensional General Relativity. A separable ansatzcompatible with Einstein equations is proposed, which is integrated in terms ofhypergeometric and exponential functions. The solution highly simplifies afterrequiring to maintain the same asymptotic behaviour as the non-rotating blackhole and to have finite, non-vanishing charges. We compute the charges of thesolution and also comment on its importance for studying the phase space of thetheory in this sector.

Slowly rotating black holes modeled by Solv geometries