Vorticity in holographic fluids
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.
Cite
@article{arxiv.1206.4351,
title = {Vorticity in holographic fluids},
author = {Marco M. Caldarelli and Robert G. Leigh and Anastasios C. Petkou and P. Marios Petropoulos and Valentina Pozzoli and Konstadinos Siampos},
journal= {arXiv preprint arXiv:1206.4351},
year = {2014}
}
Comments
37 pages, Latex, Review to appear in the proceedings of the Corfu Summer Institute 2011: School and workshops on elementary particle physics and gravity, September 4-18, 2011, Corfu, Greece