Causal hydrodynamics and the membrane paradigm

Abstract

We obtain the relaxation time for the shear viscous stress for various geometries using the "membrane paradigm" formula proposed recently. We consider the generic Schwarzschild-AdS black holes (SAdS), the generic Dp-brane, the Klebanov-Tseytlin (KT) geometry, and the N=2* theory. The formula is the "shear mode" result and is not fully trustable, but it may be helpful to learn some generic behaviors about the relaxation time. For example, a simple formula summarizes all known results for SAdS, and a single expression summarizes the results for the Dp-brane and the KT geometry.

8 pages, ReVTeX4

References in corpus (5)

• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Entropy Current in Conformal Hydrodynamics
• On the supergravity description of boost invariant conformal plasma at strong coupling
• Screening length and the direction of plasma winds

Cited by in corpus (3)

• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Second order hydrodynamics for a special class of gravity duals
• Hydrodynamics of strongly coupled non-conformal fluids from gauge/gravity duality