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

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

2009-04-09

arxiv.org/abs/0904.1566v1

JHEP 0908:025,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 7 figures

Scientific paper

10.1088/1126-6708/2009/08/025

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 ${\cal N}=4$ super-Yang-Mills theory formulated in a $d=4$ homogeneous G\"odel-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.

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