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