Second order hydrodynamics for a special class of gravity duals
Abstract
The sound mode hydrodynamic dispersion relation is computed up to order q3 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.
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