Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface

Details Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface

2011-04-17

arxiv.org/abs/1104.3281v2

JHEP 1107:027,2011

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, minor revision to appear in JHEP

Scientific paper

10.1007/JHEP07(2011)027

Using the non-relativistic hydrodynamic expansion, we solve equations of motion for Einstein gravity and Gauss-Bonnet gravity with a negative cosmological constant within the region between a finite cutoff surface and a black brane horizon, up to the second order of the expansion parameter. Through the Brown-York tensor, we calculate the stress energy tensor of dual fluids living on the cutoff surface. With the black brane solutions, we show that for both Einstein gravity and Gauss-Bonnet gravity, the ratio of shear viscosity to entropy ensity of dual fluid does not run with the cutoff surface. The incompressible Navier-Stokes equations are also obtained in both cases.

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