Causal hydrodynamics and the membrane paradigm
High Energy Physics - Theory
2009-02-23 v2
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.
Keywords
Cite
@article{arxiv.0807.1392,
title = {Causal hydrodynamics and the membrane paradigm},
author = {Makoto Natsuume},
journal= {arXiv preprint arXiv:0807.1392},
year = {2009}
}
Comments
8 pages, ReVTeX4