In view of the recent interest in reproducing holographically various properties of conformal fluids, we review the issue of vorticity in the context of AdS/CFT. Three-dimensional fluids with vorticity require four-dimensional bulk geometries with either angular momentum or nut charge, whose boundary geometries fall into the Papapetrou-Randers class. The boundary fluids emerge in stationary non-dissipative kinematic configurations, which can be cyclonic or vortex flows, evolving in compact or non-compact supports. A rich network of Einstein's solutions arises, naturally connected with three-dimensional Bianchi spaces. We use Fefferman-Graham expansion to handle holographic data from the bulk and discuss the alternative for reversing the process and reconstruct the exact bulk geometries.
|Original language||English (US)|
|Journal||Proceedings of Science|
|State||Published - 2011|
|Event||Corfu Summer Institute "School and Workshops on Elementary Particle Physics and Gravity", CORFU 2011 - Corfu, Greece|
Duration: Sep 4 2011 → Sep 18 2011
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