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

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 $\eta$ 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.

13 pages,no figures; v2: 15 page, Equation.(33), some discussions and references added, minor corrections , Version accepted for publication in Physics Letters B

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Cited by in corpus (6)

• Shear Viscosity to Entropy Density Ratio in Higher Derivative Gravity with Momentum Dissipation
• Fluid/gravity correspondence for massive gravity
• Notes on shear viscosity bound violation in anisotropic models
• Fluids and vortex from constrained fluctuations around C-metric black hole
• Time evolving fluid from Vaidya spacetime
• Fluid/Gravity Correspondence with Scalar Field and Electromagnetic Field