From black strings to black holes: Nuttier and squashed AdS 5 solutions

Abstract

We construct new solutions of the Einstein equations with negative cosmological constant in five spacetime dimensions. They smoothly emerge as deformations of the known AdS 5 black strings. The first type of configurations can be viewed as the d = 4 Taub-NUT-AdS solutions uplifted to five dimensions, in the presence of a negative cosmological constant. We argue that these solutions would provide the gravity dual for a = 4 super-Yang-Mills theory formulated in a d = 4 homogeneous Gödel-type spacetime background. A different deformation of the AdS 5 black strings leads to squashed AdS black holes and their topological generalizations. In this case, the conformal infinity is the product of time and a circle-fibration over a base space that is a two-dimensional Einstein space. © 2009 SISSA.