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

Hubeny, V.

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: May 6, 2014
• 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
• Public URL: https://durham-repository.worktribe.com/output/1532583