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

Hubeny, V.

Authors

V. Hubeny



Abstract

This paper 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 and implications.

Citation

Hubeny, V. (2011). The Fluid/Gravity Correspondence: a new perspective on the Membrane Paradigm. Classical and Quantum Gravity, 28(11), Article 114007. https://doi.org/10.1088/0264-9381/28/11/114007

Journal Article Type Article
Publication Date Jun 7, 2011
Deposit Date Dec 21, 2011
Publicly Available Date Mar 28, 2024
Journal Classical and Quantum Gravity
Print ISSN 0264-9381
Electronic ISSN 1361-6382
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 28
Issue 11
Article Number 114007
DOI https://doi.org/10.1088/0264-9381/28/11/114007

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