The subject of relativistic hydrodynamics is explored using the tools of gauge/gravity
duality. A brief literature review of AdS/CFT and gauge/gravity duality is presented
first. This is followed by a pedagogical introduction to the use of these methods in
determining hydrodynamic dispersion relations, w(q), of perturbations in a strongly
Shear and sound mode perturbations are examined in a special class of gravity duals:
those where the matter supporting the metric is scalar in nature. Analytical solutions
(to order q4 and q3 respectively) for the shear and sound mode dispersion relations are
presented for a subset of these backgrounds.
The work presented here is based on previous publications by the same author , ,
and , though some previously unpublished results are also included. In particular, the
subleading term in the shear mode dispersion relation is analyzed using the AdS/CFT
correspondence without any reference to the black hole membrane paradigm.
University of Minnesota Ph.D. dissertation. August 2009. Major: Physics. Advisor: Joseph I. Kapusta. 1 computer file (PDF); vii, 109 pages, appendices A-B.
Springer, Greggory Todd.
Hydrodynamics of strongly coupled non-conformal fluids from gauge/gravity duality..
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