Second order hydrodynamics for a special class of gravity duals

Abstract

The sound mode hydrodynamic dispersion relation is computed up to order $q^3$ for a class of gravitational duals which includes both Schwarzschild $AdS$ and Dp-Brane metrics. The implications for second order transport coefficients are examined within the context of Israel-Stewart theory. These sound mode results are compared with previously known results for the shear mode. This comparison allows one to determine the third order hydrodynamic contributions to the shear mode for the class of metrics considered here.

20 pages

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Cited by in corpus (4)

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• Robustness of Sound Speed and Jet Quenching for Gauge/Gravity Models of Hot QCD
• Hydrodynamics of strongly coupled non-conformal fluids from gauge/gravity duality