  We introduce a class of brane-world models in which a single brane is
embedded in an anti-de Sitter spacetime containing a rotating (Kerr) black
hole. In this Letter we consider the case of slow rotation, calculating the
metric and dynamics of the brane world to first order in the angular momentum
of the black hole. To this order we find that the cosmic fluid on the brane
rotates rigidly relative to a Robertson-Walker frame of reference, which in
turn rotates rigidly relative to the original Kerr-anti-de Sitter coordinate
frame. Corrections to the Friedmann equations and the shape of the brane occur
only at higher order. We construct models for which the geometry on the brane
is either closed or open, but the open models are described only for small
distances from the rotation axis, and may very likely develop pathologies at
larger distances.
