Holographic Forced Fluid Dynamics in Non-relativistic Limit

TL;DR

This paper explores the thermodynamics and non-relativistic hydrodynamics of holographic fluids in Gauss-Bonnet gravity, deriving forced Navier-Stokes equations and external forces at finite cutoff surfaces.

Contribution

It introduces a non-relativistic fluid expansion method to derive forced Navier-Stokes equations in holographic settings with external forces.

Findings

Derived holographic incompressible forced Navier-Stokes equations.

Established equivalence between isentropic flow and gravitational field equations.

Provided explicit forms of external forces in the dual fluid.

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.