A Holographic Dual of Hydrodynamics

Abstract

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.

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

References in corpus (4)

• Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
• Recent results in relativistic heavy ion collisions: from ``a new state of matter'' to "the perfect fluid"
• The RHIC fireball as a dual black hole
• More on the RHIC fireball and dual black holes

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