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Asymptotic perfect fluid dynamics as a consequence of AdS/CFT correspondence

2005/12/20 by Romuald A. Janik, Robi Peschanski · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Einstein #Gauge theory #Geometry #Gravitational singularity #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Perfect fluid #Physics #Quantum mechanics #Supergravity #Supersymmetry #Theoretical physics #gr-qc #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevd.73.045013

published as Phys.Rev.D73:045013,2006 · 19 pages, 1 figure; v2: free streaming example changed to s=1; conclusions unchanged

arxiv created 2005/12/20 · openalex publication_date 2006/02/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the dynamics of strongly interacting gauge-theory matter (modeling quark-gluon plasma) in a boost-invariant setting using the AdS/CFT correspondence. Using Fefferman-Graham coordinates and with the help of holographic renormalization, we show that perfect fluid hydrodynamics emerges at large times as the unique nonsingular asymptotic solution of the nonlinear Einstein equations in the bulk. The gravity dual can be interpreted as a black hole moving off in the fifth dimension. Asymptotic solutions different from perfect fluid behavior can be ruled out by the appearance of curvature singularities in the dual bulk geometry. Subasymptotic deviations from perfect fluid behavior remain possible within the same framework.

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