  We construct boson stars in (4+1)-dimensional Gauss-Bonnet gravity. We study
the properties of the solutions in dependence on the coupling constants and
investigate these in detail. While the "thick wall" limit is independent of the
value of the Gauss-Bonnet coupling, we find that the spiraling behaviour
characteristic for boson stars in standard Einstein gravity disappears for
large enough values of the Gauss-Bonnet coupling. Our results show that in this
case the scalar field can not have arbitrarily high values at the center of the
boson star and that it is hence impossible to reach the "thin wall" limit.
Moreover, for large enough Gauss-Bonnet coupling we find a unique relation
between the mass and the radius (qualitatively similar to those of neutron
stars) which is not present in the Einstein gravity limit.
