Black holes in Godel-type universes with a cosmological constant

We discuss supersymmetric black holes embedded in a Godel-type universe with cosmo- logical constant in five dimensions. The spacetime is a fibration over a four-dimensional Kahler base manifold, and generically has closed timelike curves. Asymptotically the space approaches a deformation of AdS5, which suggests that the appearance of closed timelike curves should have an interpretation in some deformation of D = 4, N = 4 super-Yang- Mills theory. Finally, a Godel-de Sitter universe is also presented and its causal structure is discussed.