Nonlinear Fluid Dynamics from Gravity

Bhattacharyya, Sayantani; Minwalla, Shiraz; Hubeny, Veronika E; Rangamani, Mukund

doi:10.1088/1126-6708/2008/02/045

Nonlinear Fluid Dynamics from Gravity

Bhattacharyya, Sayantani; Minwalla, Shiraz; Hubeny, Veronika E; Rangamani, Mukund

Authors

Sayantani Bhattacharyya

Shiraz Minwalla

Veronika E Hubeny

Mukund Rangamani

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.

Citation

Bhattacharyya, S., Minwalla, S., Hubeny, V. E., & Rangamani, M. (2008). Nonlinear Fluid Dynamics from Gravity. Journal of High Energy Physics, 2008(02), Article 045. https://doi.org/10.1088/1126-6708/2008/02/045

Journal Article Type	Article
Publication Date	Feb 14, 2008
Deposit Date	Nov 24, 2010
Publicly Available Date	Sep 11, 2012
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Electronic ISSN	1029-8479
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2008
Issue	02
Article Number	045
DOI	https://doi.org/10.1088/1126-6708/2008/02/045
Keywords	AdS-CFT and dS-CFT Correspondence, Gauge-gravity correspondence.
Publisher URL	http://iopscience.iop.org/1126-6708/2008/02/045/