Local fluid dynamical entropy from gravity

Bhattacharyya, Sayantani ; Hubeny, Veronika E. ; Loganayagam, R. ; Mandal, Gautam ; Minwalla, Shiraz ; Morita, Takeshi ; Rangamani, Mukund ; Reall, Harvey S. (2008) Local fluid dynamical entropy from gravity Journal of High Energy Physics, 2008 (6). No pp. given.. ISSN 1126-6708

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Official URL: http://iopscience.iop.org/1126-6708/2008/06/055

Related URL: http://dx.doi.org/10.1088/1126-6708/2008/06/055

Abstract

Spacetime geometries dual to arbitrary fluid flows in strongly coupled N = 4 super Yang Mills theory have recently been constructed perturbatively in the long wavelength limit. We demonstrate that these geometries all have regular event horizons, and determine the location of the horizon order by order in a boundary derivative expansion. Intriguingly, the derivative expansion allows us to determine the location of the event horizon in the bulk as a local function of the fluid dynamical variables. We define a natural map from the boundary to the horizon using ingoing null geodesics. The area-form on spatial sections of the horizon can then be pulled back to the boundary to define a local entropy current for the dual field theory in the hydrodynamic limit. The area theorem of general relativity guarantees the positivity of the divergence of the entropy current thus constructed.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
Keywords:Ads-CFT and Ds-CFT Correspondence; Black Holes in String Theory; Gauge-Gravity Correspondence
ID Code:63735
Deposited On:29 Sep 2011 11:48
Last Modified:29 Sep 2011 11:48

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