Surface Layers in the Gravity/Hydrodynamics Correspondence

Abstract

I review the AdS/hydrodynamics correspondence, which provides a 1-1 map between large wavelength features of AdS black branes and conformal fluid flows. In this thesis I consider boundaries between nonrelativistic flows, applying the usual boundary conditions for viscous fluids. I find that a naive application of the correspondence to these boundaries yields a surface layer in the gravity theory whose stress tensor is not equal to that given by the Israel matching conditions. In particular, while neither stress tensor satisfies the null energy condition and both have nonvanishing momentum, only Israel's tensor has stress. The disagreement arises entirely from corrections to the metric due to multiple derivatives of the flow velocity, which violate Israel's finiteness assumption in the thin wall limit.

139 pages, 5 eps figures, doctoral thesis Univ di Pisa (advisor Jarah Evslin)

References in corpus (13)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Nonlinear Fluid Dynamics from Gravity
• Causality, Analyticity and an IR Obstruction to UV Completion
• Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Local Fluid Dynamical Entropy from Gravity
• Entropy Current in Conformal Hydrodynamics
• Bicycling Black Rings
• Black ring with two angular momenta
• A generalized Damour-Navier-Stokes equation applied to trapping horizons
• On the supergravity description of boost invariant conformal plasma at strong coupling
• Second order hydrodynamics of a CFT plasma from boost invariant expansion