  We consider several different classes of asymptotically flat, rotating black
objects in d = 5 Einstein-Gauss-Bonnet (EGB) theory. These are first the black
holes with two equal-magnitude angular momenta, in which case extremal
configurations are studied as well. Numerical evidence is also given for the
existence of EGB generalizations of the Myers-Perry black holes with a single
plane of rotation and of the Emparan-Reall balanced black rings. All solutions
approach asymptotically the Minkowski background and present no singularities
outside and on the horizon. The numerical results suggest that for any mass of
the solutions and any topology of the horizon, the rotating configurations
exist up to a maximal value of the GB coupling constant, while the solutions
with a spherical horizon topology still satisfy the Einstein gravity bound on
angular momentum.
