从纳维尔-斯托克斯到麦克斯韦--通过爱因斯坦
From Navier-Stokes to Maxwell via Einstein
摘要：
我们重新审视流体重力对偶性的截断面制定的背景下，经典的双重副本。在这种流体-重力对偶中的时空在代数上是特殊的，当时空是四维时，它具有彼得罗夫II型。我们发现了两类特殊的流体，其对偶时空表现出更高的代数特性：常涡流具有D型重力场，而势流映射到N型时空。使用Weyl版本的经典的双副本，我们构建相关的单副本规范场的两种情况下，发现恒定的涡度流体映射到螺线管规范场。此外，我们发现标量在一个潜在的流动流体映射到第零副本标量。
英文摘要：
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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