Shear Viscosity to Entropy Density Ratio in Higher Derivative Gravity with Momentum Dissipation

Abstract

We investigate $\eta /s$ in linear scalar fields modified Gauss-Bonnet theory that breaks translation invariance. We first calculate $\eta /s$ both analytically and numerically and show its relationship with temperature in log-log plot. Our results show that $\eta /s\sim T^2$ at low temperatures. The causality is also considered in this work. We then find that causality violation still happens in the presence of the linear scalar field and we suggest there is a Gauss-Bonnet coupling dependent lower limit for the effective mass of the graviton. If the effective mass of the graviton is big enough, then there will be no causality violation and hence no constraints for the Gauss-Bonnet coupling.

21 pages, 5 figures, revised version, references added, to appear in PRD

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Cited by in corpus (13)

• The Effect of the Gauss-Bonnet term to Hawking Radiation from arbitrary dimensional Black Brane
• Causality of black holes in 4-dimensional Einstein-Gauss-Bonnet-Maxwell theory
• Thermal transport and quasi-normal modes in Gauss-Bonnet-axions theory
• Holographic Studies of The Generic Massless Cubic Gravities
• Holographic RG flow of thermo-electric transports with momentum dissipation
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• Black holes in 4D Einstein-Maxwell-Gauss-Bonnet gravity coupled with scalar fields
• Shear hydrodynamics, momentum relaxation, and the KSS bound
• Holographic study of shear viscosity and butterfly velocity for magnetic field-driven quantum criticality
• Transverse Shear Viscosity to Entropy Density for the General Anisotropic Black Brane in Horava-Lifshitz Gravity
• Hysteresis in $\eta /s$ for QFTs dual to spherical black holes
• Sound modes and stability of momentum dissipated black branes in holography
• Shear viscoelasticity in anisotropic holographic axion model