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Nonlinear fluid dynamics from gravity

Open access
Bhattacharyya, Sayantani, Minwalla, Shiraz, Hubeny, Veronika E, Rangamani, Mukund·2008·Journal of High Energy Physics

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.

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Crossref · 10.1088/1126-6708/2008/02/045

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Metadata

Authors
Bhattacharyya, S., Minwalla, S., Hubeny, V. E., & Rangamani, M.
Venue
Journal of High Energy Physics
Published
2008-02-14
Volume
2008
Issue
02
Pages
045-045
ISSN
1029-8479 (ISSN-L)
OpenAlex
W1992872919
Cited by
1,170
References
6
FWCI
49.12
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Nonlinear fluid dynamics from gravity. https://app.cochat.ai/papers/10.1088/1126-6708/2008/02/045
The paper
Bhattacharyya, S., Minwalla, S., Hubeny, V. E., & Rangamani, M. (2008). Nonlinear fluid dynamics from gravity. Journal of High Energy Physics. https://doi.org/10.1088/1126-6708/2008/02/045

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.