Joel Berkeley, David S. Berman
The fluid-gravity correspondence provides us with explicit spacetime metrics that are holographically dual to the (non-)relativistic nonlinear hydrodynamics. The vacuum Einstein equations, in the presence of a Killing vector, possess solution-generating symmetries known as Ehler's transformations. We apply these Ehler's transformations to metrics with hydrodynamic duals to develop a formalism for solution-generating transformations of Navier-Stokes fluids. Using this we provide examples of a linear energy scaling from RG flow under vanishing vorticity, and a set of Z_2 symmetries for fixed viscosity.
View original:
http://arxiv.org/abs/1211.1983
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