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A holographic dual of hydrodynamics

2006/07/31 by Shin Nakamura, Sang-Jin Sin · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Dissipative system #Dual (grammatical number) #Energy density #Gauge (firearms) #Geology #Geometry #Gravitational singularity #Holography #Horizon #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Philosophy #Physics #Quantum mechanics #Shear (geology) #Shear viscosity #Singularity #Theoretical physics #Viscosity #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1088/1126-6708/2006/09/020

published as JHEP0609:020,2006 · 17 pages, no figure. v2: typos corrected, published version in JHEP

openalex publication_date 2006/09/08 · arxiv created 2006/10/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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