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We construct new solutions of the Einstein equations with negativecosmological constant in five spacetime dimensions. They smoothly emerge asdeformations of the known AdS$_5$ black strings. The first type ofconfigurations can be viewed as the $d=4$ Taub-NUT-AdS solutions uplifted tofive dimensions, in the presence of a negative cosmological constant. We arguethat these solutions provide the gravity dual for a ${\cal N}=4$super-Yang-Mills theory formulated in a $d=4$ homogeneous G\"odel-typespacetime background. A different deformation of the AdS$_5$ black stringsleads to squashed AdS black holes and their topological generalizations. Inthis case, the conformal infinity is the product of time and a circle-fibrationover a base space that is a two-dimensional Einstein space.

From black strings to black holes: nuttier and squashed AdS$_5$ solutions