TY - JOUR
T1 - From Navier-Stokes to Maxwell via Einstein
AU - Keeler, Cynthia
AU - Manton, Tucker
AU - Monga, Nikhil
N1 - Publisher Copyright:
© 2020, The Author(s).
PY - 2020/8/1
Y1 - 2020/8/1
N2 - 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.
AB - 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.
KW - Classical Theories of Gravity
KW - Gauge-gravity correspondence
KW - Scattering Amplitudes
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U2 - 10.1007/JHEP08(2020)147
DO - 10.1007/JHEP08(2020)147
M3 - Article
AN - SCOPUS:85089984948
SN - 1029-8479
VL - 2020
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
M1 - 147
ER -