期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP11(2012)121
关键词
AdS-CFT Correspondence; Classical Theories of Gravity; Holography and condensed matter physics (AdS/CMT)
资金
- LABEX P2IO
- French ANR [05-BLAN-NT09-573739 String cosmology]
- ERC [226371, PITN-GA-2009-237920]
- IFCPAR CEFIPRA [4104-2]
- U.S. Department of Energy [FG02-91-ER4070]
- European grant [FP7-REGPOT-2008-1 CreteHEPCosmo-22864]
We study holographic three-dimensional fluids with vorticity in local equilibrium and discuss their relevance to analogue gravity systems. The Fefferman-Graham expansion leads to the fluid's description in terms of a comoving and rotating Papapetrou-Randers frame. A suitable Lorentz transformation brings the fluid to the non-inertial Zermelo frame, which clarifies its interpretation as moving media for light/sound propagation. We apply our general results to the Lorentzian Kerr-AdS(4) and Taub-NUT-AdS(4) geometries that describe fluids in cyclonic and vortex flows respectively. In the latter case we associate the appearance of closed timelike curves to analogue optical horizons. In addition, we derive the classical rotational Hall viscosity of three-dimensional fluids with vorticity. Our formula remarkably resembles the corresponding result in magnetized plasmas.
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