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arXiv · 2005.04242

From Navier-Stokes to Maxwell via Einstein

Cynthia Keeler·Tucker Manton·Nikhil Monga
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Abstract

We revisit the cutoff surface formulation of fluid-gravity duality in the context of the classical double copy. The spacetimes in this fluid-gravity duality are algebraically special, with Petrov type II when the spacetime is four dimensional. We find two special classes of fluids whose dual spacetimes exhibit higher algebraic speciality: constant vorticity flows have type D gravity duals, while potential flows map to type N spacetimes. Using the Weyl version of the classical double copy, we construct associated single-copy gauge fields for both cases, finding that constant vorticity fluids map to a solenoid gauge field. Additionally we find the scalar in a potential flow fluid maps to the zeroth copy scalar.

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Cynthia Keeler, Tucker Manton, Nikhil Monga. 2020-05-08. From Navier-Stokes to Maxwell via Einstein. https://arxiv.org/abs/2005.04242

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