From Navier-Stokes to Maxwell via Einstein

Keeler, Cynthia; Manton, Tucker; Monga, Nikhil

doi:10.1007/jhep08(2020)147

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From Navier-Stokes to Maxwell via Einstein

Keeler, Cynthia·Manton, Tucker·Monga, Nikhil

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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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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Classical Theories of Gravity Gauge-gravity correspondence Scattering Amplitudes

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Keeler, Cynthia, Manton, Tucker, Monga, Nikhil. 2020-08-28. From Navier-Stokes to Maxwell via Einstein. https://doi.org/10.1007/jhep08(2020)147

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