Vorticity in holographic fluids

Autor: Caldarelli, Marco M., Leigh, Robert G., Petkou, Anastasios C., Petropoulos, P. Marios, Pozzoli, Valentina, Siampos, Konstadinos
Rok vydání: 2012
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 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
Databáze: arXiv