Black holes in Goedel-type universes with a cosmological constant

TL;DR

The paper investigates supersymmetric black holes in Gödel-type universes with a cosmological constant in five dimensions, addressing their causal structure and holographic interpretation. Using the timelike class of minimal gauged supergravity, it constructs Gödel-deformed $AdS_5$ black holes as fibrations over a four-dimensional Kähler base and analyzes the role of Gödel data and a holomorphic function in shaping the geometry, including closed timelike curves. It interprets the bulk chronology within the AdS/CFT framework as a deformation of $D=4$, ${\cal N}=4$ super-Yang–Mills on a curved boundary, derives the holographic stress tensor and conserved charges, and identifies a boundary unitarity–related bound associated with CTCs. The work then generalizes to a broader class of BPS solutions built from complex line bundle bases and concludes with a Gödel–de Sitter universe, exploring how causal structure evolves in time and the possible existence of horizons, repulsons, and time-reversed branches.

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.