Black holes in Goedel-type universes with a cosmological constant

Abstract

We discuss supersymmetric black holes embedded in a Goedel-type universe with cosmological constant in five dimensions. The spacetime is a fibration over a four-dimensional Kaehler base manifold, and generically has closed timelike curves. Asymptotically the space approaches a deformation of AdS_5, 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 Goedel-de Sitter universe is also presented and its causal structure is discussed.

25 pages, Latex, no figures, references updated, physical discussion of the solutions considerably expanded, holographic stress tensor and conserved charges of Goedel-AdS(5) solution computed