  We present the first examples of black holes with only one Killing field. The
solutions describe five dimensional AdS black holes with scalar hair. The black
holes are neither stationary nor axisymmetric, but are invariant under a single
Killing field which is tangent to the null generators of the horizon. Some of
these solutions can be viewed as putting black holes into rotating boson stars.
Others are related to the endpoint of a superradiant instability. For given
mass and angular momentum (within a certain range) several black hole solutions
exist.
