The Fluid/Gravity Correspondence: a new perspective on the Membrane Paradigm
arXiv:1011.4948 · doi:10.1088/0264-9381/28/11/114007
Abstract
This talk gives an overview of the recently-formulated Fluid/Gravity correspondence, which was developed in the context of gauge/gravity duality. Mathematically, it posits that Einstein's equations (with negative cosmological constant) in d+1 dimensions capture the (generalized) Navier-Stokes equations in d dimensions. Given an arbitrary fluid dynamical solution, we can systematically construct a corresponding asymptotically AdS black hole spacetime with a regular horizon whose properties mimic that of the fluid flow. Apart from an overview of this construction, we describe some of its applications. The presentation is intended for a broad audience of relativists, and does not assume prior knowledge of string theory or gauge/gravity duality.
20 pages, 4 figures, Contribution (plenary lecture) to the Proceedings of the 19th International Conference on General Relativity and Gravitation, Mexico City, July 5-9, 2010 v2: reference added + minor changes, as in the published CQG version
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