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In this paper we generalize the previous works to the case that the near-horizon dynamics of the Einstein–Dilaton–Axion theory can be governed by the incompressible Navier–Stokes equation via imposing the Petrov-like boundary condition on hypersurfaces in the non-relativistic and near-horizon limit. The dynamical shear viscosity η of such dual horizon fluid in our scenario, which isotropically saturates...
The dual fluid description for a general cutoff surface at radius r=rc outside the horizon in the charged AdS black brane bulk space–time is investigated, first in the Einstein–Maxwell theory. Under the non-relativistic long-wavelength expansion with parameter ϵ, the coupled Einstein–Maxwell equations are solved up to O(ϵ2). The incompressible Navier–Stokes equation with external force density is...
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