R^2 Corrections to Asymptotically Lifshitz Spacetimes

Abstract

We study $R^2$ corrections to five-dimensional asymptotically Lifshitz spacetimes by adding Gauss-Bonnet terms in the effective action. For the zero-temperature backgrounds we obtain exact solutions in both pure Gauss-Bonnet gravity and Gauss-Bonnet gravity with non-trivial matter. The dynamical exponent undergoes finite renormalization in the latter case. For the finite-temperature backgrounds we obtain black brane solutions perturbatively and calculate the ratio of shear viscosity to entropy density $\eta /s$. The KSS bound is still violated but unlike the relativistic counterparts, the causality of the boundary field theory cannot be taken as a constraint.

24 pages, Latex, typos fixed, accepted by JHEP

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• A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds
• On Charged Lifshitz Black Holes
• Holographic superconductors with $z=2$ Lifshitz scaling
• Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum
• Holography of Charged Dilaton Black Holes in General Dimensions
• Conductivity and Diffusion Constant in Lifshitz Backgrounds
• Quasinormal frequencies and thermodynamic quantities for the Lifshitz black holes
• Static solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory in vacuum
• Asymptotically Lifshitz black hole solutions in F(R) gravity
• Dilaton gravity approach to three dimensional Lifshitz black hole
• Lifshitz black holes in the Hořava-Lifshitz gravity
• Phase transitions for the Lifshitz black holes
• Resolving the issue of branched Hamiltonian in modified Lanczos-Lovelock gravity
• Asymptotically Lifshitz Brane-World Black Holes
• Holographic RG flows and transport coefficients in Einstein-Gauss-Bonnet-Maxwell theory
• Absorption cross section in Lifshitz black hole
• Twisted holographic superconductors in external magnetic field