Holographic fluids with vorticity and analogue gravity

Robert G. Leigh, Anastasios C. Petkou, P. Marios Petropoulos

Research output: Contribution to journalArticlepeer-review


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-AdS4 and Taub-NUT-AdS4 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.

Original languageEnglish (US)
Article number121
JournalJournal of High Energy Physics
Issue number11
StatePublished - Nov 2012


  • AdS-CFT Correspondence
  • Classical Theories of Gravity
  • Holography and condensed matter physics (AdS/CMT)

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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