From Navier-Stokes to Maxwell via Einstein

Cynthia Keeler, Tucker Manton, Nikhil Monga

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


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.

Original languageEnglish (US)
Article number147
JournalJournal of High Energy Physics
Issue number8
StatePublished - Aug 1 2020


  • Classical Theories of Gravity
  • Gauge-gravity correspondence
  • Scattering Amplitudes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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