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arXiv · 1206.4351

Vorticity in holographic fluids

Marco M. Caldarelli·Robert G. Leigh·Anastasios C. Petkou·P. Marios Petropoulos·Valentina Pozzoli·Konstadinos Siampos
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Abstract

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.

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Marco M. Caldarelli, Robert G. Leigh, Anastasios C. Petkou, P. Marios Petropoulos, Valentina Pozzoli, Konstadinos Siampos. 2014-12-04. Vorticity in holographic fluids. https://arxiv.org/abs/1206.4351

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