A Holographic Dual of Hydrodynamics

TL;DR

This paper develops a gravity dual model for a time-dependent, expanding strongly interacting plasma, matching hydrodynamic behavior and analyzing the geometry's horizon to understand non-perturbative aspects.

Contribution

It provides a holographic description of expanding hydrodynamics in N=4 SYM, linking late-time geometry to dissipative fluid dynamics and horizon data.

Findings

Derived the dual geometry consistent with Bjorken flow

Linked integration constants to horizon properties

Discussed energy density evolution and bulk singularity

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.