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

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• Rotating Black String with Nonlinear Source
• Gödel-type universes in Palatini f(R) gravity
• Interpreting spacetimes of any dimension using geodesic deviation
• Gödel-type universes and chronology protection in Horava-Lifshitz gravity
• Homogeneous Gödel-type solutions in hybrid metric-Palatini gravity
• Warped AdS_5 Black Holes and Dual CFTs
• Squashed, magnetized black holes in $D=5$ minimal gauged supergravity
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• Black hole solutions in d=5 Chern-Simons gravity
• Universality of the Holographic Angular Momentum Cutoff
• Kerr Black Holes Are Not Fragile
• Bertotti-Robinson solutions of D=5 Einstein-Maxwell-Chern-Simons-Lambda theory
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• Charged Nariai black holes on the dark bubble
• New AdS solitons and brane worlds with compact extra-dimensions
• The Gregory-Laflamme instability and non-uniform generalizations of NUT strings