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arXiv · 0908.1272

R^2 Corrections to Asymptotically Lifshitz Spacetimes

Da-Wei Pang
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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 $η/s$. The KSS bound is still violated but unlike the relativistic counterparts, the causality of the boundary field theory cannot be taken as a constraint.

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Da-Wei Pang. 2009-10-11. R^2 Corrections to Asymptotically Lifshitz Spacetimes. https://doi.org/10.1088/1126-6708/2009/10/031

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