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Nonlinear fluid dynamics from gravity.

Bhattacharyya, Sayantani and Minwalla, Shiraz and Hubeny, Veronika E. and Rangamani, Mukund (2008) 'Nonlinear fluid dynamics from gravity.', Journal of high energy physics., 2008 (02). 045.

Abstract

Black branes in AdS5 appear in a four parameter family labeled by their velocity and temperature. Promoting these parameters to Goldstone modes or collective coordinate fields – arbitrary functions of the coordinates on the boundary of AdS5 – we use Einstein’s equations together with regularity requirements and boundary conditions to determine their dynamics. The resultant equations turn out to be those of boundary fluid dynamics, with specific values for fluid parameters. Our analysis is perturbative in the boundary derivative expansion but is valid for arbitrary amplitudes. Our work may be regarded as a derivation of the nonlinear equations of boundary fluid dynamics from gravity. As a concrete application we find an explicit expression for the expansion of this fluid stress tensor including terms up to second order in the derivative expansion.

Item Type:Article
Keywords:AdS-CFT and dS-CFT Correspondence, Gauge-gravity correspondence.
Full text:PDF - Accepted Version (450Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1088/1126-6708/2008/02/045
Publisher statement:© IOP Publishing 2008
Record Created:07 Sep 2012 10:20
Last Modified:11 Sep 2012 09:45

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