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arXiv · 1508.04972

From Petrov-Einstein-Dilaton-Axion to Navier-Stokes equation in anisotropic model

Wen-Jian Pan·Yu Tian·Xiao-Ning Wu
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Abstract

In this paper we generalize the previous works to the case that the near-horizon dynamics of the Einstein-Dilaton-Axion theory can be governed by the incompressible Navier-Stokes equation via imposing the Petrov-like boundary condition on hypersurfaces in the non-relativistic and near-horizon limit. The dynamical shear viscosity $η$ of such dual horizon fluid in our scenario, which isotropically saturates the Kovtun-Son-Starinet (KSS) bound, is independent of both the dilaton field and axion field in that limit.

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Wen-Jian Pan, Yu Tian, Xiao-Ning Wu. 2015-11-23. From Petrov-Einstein-Dilaton-Axion to Navier-Stokes equation in anisotropic model. https://doi.org/10.1016/j.physletb.2015.11.008

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