Causal hydrodynamics and the membrane paradigm

Details Causal hydrodynamics and the membrane paradigm Causal hydrodynamics and the membrane paradigm

2008-07-09

arxiv.org/abs/0807.1392v2

Phys.Rev.D78:066010,2008

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, ReVTeX4

Scientific paper

10.1103/PhysRevD.78.066010

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.

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