Holographic Fluids with Vorticity and Analogue Gravity

Abstract

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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• Generalised Planar Black Holes and the Holography of Hydrodynamic Shear
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• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
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• Euclidean AdS wormholes and gravitational instantons in the Einstein-Skyrme theory
• Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes
• Quarter-BPS Black Holes in AdS${}_4$-NUT from $N=2$ Gauged Supergravity
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Computational Complexity in Analogue Gravity
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