Holography and hydrodynamics: diffusion on stretched horizons

Abstract

We show that long-time, long-distance fluctuations of plane-symmetric horizons exhibit universal hydrodynamic behavior. By considering classical fluctuations around black-brane backgrounds, we find both diffusive and shear modes. The diffusion constant and the shear viscosity are given by simple formulas, in terms of metric components. For a given metric, the answers can be interpreted as corresponding kinetic coefficients in the holographically dual theory. For the near-extremal Dp, M2 and M5 branes, the computed kinetic coefficients coincide with the results of independent AdS/CFT calculations. In all the examples, the ratio of shear viscosity to entropy density is equal to \hbar/(4πk_B), suggesting a special meaning of this value.

27 pages

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• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence

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• RG flow of AC Conductivity in Soft Wall Model of QCD
• Time evolving fluid from Vaidya spacetime
• Non-equilibrium real-time dynamics and transport coefficients in Light-Front Holographic QCD
• Thermodynamics of non-linearly charged Anti-de Sitter black holes in four-dimensional Critical Gravity
• Hot Spaghetti: Viscous Gravitational Collapse