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The Einstein-Gauss-Bonnet gravity in five dimensions is extended by scalarfields and the corresponding equations are reduced to a system of non-lineardifferential equations. A large family of regular solutions of these equationsis shown to exist. Generically, these solutions are spinning black holes withscalar hairs. They can be characterized (but not uniquely) by an horizon and anangular velocity on this horizon. Taking particular limits the black holesapproach boson star or become extremal, in any case the limiting configurationsremain hairy.

Black Holes with Scalar Hairs in Einstein-Gauss-Bonnet Gravity