Transport Coefficients from Extremal Gauss-Bonnet Black Holes

Abstract

We calculate the shear viscosity of strongly coupled field theories dual to Gauss-Bonnet gravity at zero temperature with nonzero chemical potential. We find that the ratio of the shear viscosity over the entropy density is $1/4\pi$, which is in accordance with the zero temperature limit of the ratio at nonzero temperatures. We also calculate the DC conductivity for this system at zero temperature and find that the real part of the DC conductivity vanishes up to a delta function, which is similar to the result in Einstein gravity. We show that at zero temperature, we can still have the conclusion that the shear viscosity is fully determined by the effective coupling of transverse gravitons in a kind of theories that the effective action of transverse gravitons can be written into a form of minimally coupled scalars with a deformed effective coupling.

23 pages, no figure; v2, refs added; v3, more refs added; v4, version to appear in JHEP

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• Semi-Holographic Fermi Liquids
• Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography
• Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
• Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface
• Hydrodynamics of cold holographic matter
• Charge transport by holographic Fermi surfaces
• Gauss-Bonnet black holes with non-constant curvature horizons
• Causality of black holes in 4-dimensional Einstein-Gauss-Bonnet-Maxwell theory
• Holography of Charged Black Holes with $R{F}^2$ Corrections
• Moduli and electromagnetic black brane holography
• Viscosity bound for anisotropic superfluids in higher derivative gravity
• Modulated Instability in Five-Dimensional U(1) Charged AdS Black Hole with R**2-term
• Holographic charge transport in Lifshitz black hole backgrounds
• Shock waves and Birkhoff's theorem in Lovelock gravity
• Quantum fluctuations and thermal dissipation in higher derivative gravity
• Charge transport properties in a novel holographic quantum phase transition model