  Applying squashing transformation to Kerr-Godel black hole solutions, we
present a new type of a rotating Kaluza-Klein black hole solution to the
five-dimensional Einstein-Maxwell theory with a Chern-Simon term. The new
solutions generated via the squashing transformation have no closed timelike
curve everywhere outside the black hole horizons. At the infinity, the metric
asymptotically approaches a twisted S^1 bundle over a four-dimensional
Minkowski space-time. One of the remarkable features is that the solution has
two independent rotation parameters along an extra dimension associated with
the black hole's rotation and the Godel's rotation. The space-time also admits
the existence of two disconnected ergoregions, an inner ergoregion and an outer
ergoregion. These two ergoregions can rotate in the opposite direction as well
as in the same direction.
