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arXiv · 1011.4948

The Fluid/Gravity Correspondence: a new perspective on the Membrane Paradigm

Veronika E. Hubeny
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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.

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BibTeXRIS

Veronika E. Hubeny. 2011-02-21. The Fluid/Gravity Correspondence: a new perspective on the Membrane Paradigm. https://doi.org/10.1088/0264-9381%2F28%2F11%2F114007

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