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

[en] 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.

Disciplines :

Physics

Author, co-author :

Brihaye, Yves ; Université de Mons > Faculté des Sciences > Physique théorique et mathématique

Kunz, J.

Radu, Eugen

Language :

English

Title :

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

Publication date :

01 August 2009

Journal title :

Journal of High Energy Physics

ISSN :

1126-6708

Publisher :

Springer, Heidelberg, Germany

Volume :

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Research unit :

S814 - Physique théorique et mathématique

Commentary :

e-print: 0904.1566

Available on ORBi UMONS :

since 10 June 2010

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