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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.


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 (arXiv version) - Other (450Kb)
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Publisher statement:© SISSA 2008. Published by IOP Publishing for SISSA. This is an author-created, un-copyedited version of an article accepted for publication in Journal of high energy physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/1126-6708/2008/02/045.
Record Created:07 Sep 2012 10:20
Last Modified:17 Jun 2015 12:45

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