2012/06/19 by Caldarelli, Marco M., Leigh, Robert G., Petkou, Anastasios C. +3
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Other Condensed Matter (cond-mat.other) #Quantum Gases (cond-mat.quant-gas)
paper · doi:10.48550/arxiv.1206.4351
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.