Conformal nonlinear fluid dynamics from gravity in arbitrary dimensions

Bhattacharyya, Sayantani ; Loganayagam, R. ; Mandal, Ipsita ; Minwalla, Shiraz ; Sharma, Ankit (2008) Conformal nonlinear fluid dynamics from gravity in arbitrary dimensions Journal of High Energy Physics, 2008 (12). No pp. given.. ISSN 1126-6708

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Official URL: http://iopscience.iop.org/1126-6708/2008/12/116

Related URL: http://dx.doi.org/10.1088/1126-6708/2008/12/116

Abstract

We generalize recent work to construct a map from the conformal Navier Stokes equations with holographically determined transport coefficients, in d spacetime dimensions, to the set of asymptotically locally AdSd+1 long wavelength solutions of Einstein's equations with a negative cosmological constant, for all d> 2. We find simple explicit expressions for the stress tensor (slightly generalizing the recent result by Haack and Yarom (arXiv:0806.4602)), the full dual bulk metric and an entropy current of this strongly coupled conformal fluid, to second order in the derivative expansion, for arbitrary d> 2. We also rewrite the well known exact solutions for rotating black holes in AdSd+1 space in a manifestly fluid dynamical form, generalizing earlier work in d = 4. To second order in the derivative expansion, this metric agrees with our general construction of the metric dual to fluid flows.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
Keywords:Black Holes; AdS-CFT and dS-CFT Correspondence; Conformal and W Symmetry; Black Holes in String Theory
ID Code:63743
Deposited On:29 Sep 2011 13:29
Last Modified:29 Sep 2011 13:29

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