De-Cheng Zou, Shao-Jun Zhang, Bin Wang
We study the dual fluid on a finite cutoff surface outside the black brane horizon in the third order Lovelock gravity. Using non-relativistic long-wavelength expansion, we obtain the incompressible Navier-Stokes equations of dual fluid with external force density on the finite cutoff surface. The viscosity to entropy density ratio is independent of cutoff surface and does not get modification from the third order Lovelock gravity influence. However the kinematic viscosity receives correction from the third order Lovelock term. We show that the equivalence between the isentropic flow of the fluid and the radial component of the gravitational equation observed in the Einstein and Gauss-Bonnet gravity also holds in the third order Lovelock gravity. This generalization brings more understandings on relating the gravity theory to the dual fluid.
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http://arxiv.org/abs/1302.0904
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