Holographic Forced Fluid Dynamics in Non-relativistic Limit

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.

30 pages, no figures, minor revision and references added

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• Petrov type I Condition and Dual Fluid Dynamics
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• Petrov type I Spacetime and Dual Relativistic Fluids
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• Bulk Viscosity of dual Fluid at Finite Cutoff Surface via Gravity/Fluid correspondence in Einstein-Maxwell Gravity
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• Forced Fluid Dynamics from Gravity in Arbitrary Dimensions
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• Composite-particle hydrodynamics from dyonic black branes
• Compressible forced viscous fluid from product Einstein manifolds
• Rindler Fluid with Weak Momentum Relaxation
• Solution-generating transformations in duality-invariant theories and the fluid/gravity correspondence
• Observational Constraints on the Cosmology with Holographic Dark Fluid
• Fluids and vortex from constrained fluctuations around C-metric black hole
• Time evolving fluid from Vaidya spacetime
• Sonic velocity in holographic fluids and its applications