Black holes in Goedel-type universes with a cosmological constant

TL;DR

This paper explores supersymmetric black holes within Goedel-type universes with a cosmological constant, analyzing their geometric structure, causal properties, and potential implications for dual gauge theories.

Contribution

It introduces new solutions of supersymmetric black holes in Goedel-type universes with a cosmological constant in five dimensions, including their causal and holographic properties.

Findings

Presence of closed timelike curves in the spacetime

Asymptotic approach to deformed AdS_5 space

Discussion of causal structure in Goedel-de Sitter universe

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.