  We construct a five--dimensional, asymptotically Goedel, three--charge black
hole via dimensional reduction of an asymptotically plane wave, rotating
D1-D5-brane solution of type IIB supergravity. This latter is itself
constructed via the solution generating procedure of Garfinkle and Vachaspati,
applied to the standard rotating D1-D5-brane solution. Taking all charges to be
equal gives a "BMPV Goedel black hole", which is closely related to that
recently found by Herdeiro. We emphasise, however, the importance of our
ten--dimensional microscopic description in terms of branes. We discuss various
properties of the asymptotically Goedel black hole, including the physical
bound on the rotation of the hole, the existence of closed timelike curves, and
possible holographic protection of chronology.
