A Holographic Dual of Hydrodynamics

Details A Holographic Dual of Hydrodynamics A Holographic Dual of Hydrodynamics

2006-07-19

arxiv.org/abs/hep-th/0607123v2

JHEP0609:020,2006

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, no figure. v2: typos corrected, published version in JHEP

Scientific paper

10.1088/1126-6708/2006/09/020

We consider a gravity dual description of time dependent, strongly interacting large-Nc N=4 SYM. We regard the gauge theory system as a fluid with shear viscosity. Our fluid is expanding in one direction following the Bjorken's picture that is relevant to RHIC experiments. We obtain the dual geometry at the late time that is consistent with dissipative hydrodynamics. We show that the integration constants that cannot be determined by hydrodynamics are given by looking at the horizon of the dual geometry. Relationship between time dependence of the energy density and bulk singularity is also discussed.

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