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 provide the gravity dual for a $\mathcal{N}=4$ 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.

19 pages, 7 figures

References in corpus (6)

• On the stability of AdS black strings
• Black strings with negative cosmological constant: inclusion of electric charge and rotation
• Warped AdS_5 Black Holes and Dual CFTs
• Perturbative non uniform black strings in ${AdS}_6$
• Magnetic solutions in AdS${}_5$ and trace anomalies
• Thermodynamics of Ideal Boson and Fermion Gases in the Static Taub Universe

Cited by in corpus (2)

• Gödel-type universes in f(R) gravity
• Warped AdS_5 Black Holes and Dual CFTs