Asymptotic perfect fluid dynamics as a consequence of AdS/CFT

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

2005-12-14

arxiv.org/abs/hep-th/0512162v2

Phys.Rev.D73:045013,2006

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 1 figure; v2: free streaming example changed to s=1; conclusions unchanged

Scientific paper

10.1103/PhysRevD.73.045013

We study the dynamics of strongly interacting gauge-theory matter (modelling 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 behaviour can be ruled out by the appearance of curvature singularities in the dual bulk geometry. Subasymptotic deviations from perfect fluid behaviour remain possible within the same framework.

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