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arXiv · 1202.4091

Holographic Forced Fluid Dynamics in Non-relativistic Limit

Rong-Gen Cai·Li Li·Zhang-Yu Nie·Yun-Long Zhang
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Abstract

We study the thermodynamics and non-relativistic hydrodynamics of the holographic fluid on a finite cutoff surface in the Gauss-Bonnet gravity. It is shown that the isentropic flow of the fluid is equivalent to a radial component of gravitational field equations. We use the non-relativistic fluid expansion method to study the Einstein-Maxwell-dilaton system with a negative cosmological constant, and obtain the holographic incompressible forced Navier-Stokes equations of the dual fluid at AdS boundary and at a finite cutoff surface, respectively. The concrete forms of external forces are given.

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Rong-Gen Cai, Li Li, Zhang-Yu Nie, Yun-Long Zhang. 2012-08-03. Holographic Forced Fluid Dynamics in Non-relativistic Limit. https://doi.org/10.1016/j.nuclphysb.2012.06.014

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