R^2 Corrections to Asymptotically Lifshitz Spacetimes

TL;DR

This paper investigates how R^2 (Gauss-Bonnet) corrections affect five-dimensional Lifshitz spacetimes, providing exact solutions at zero temperature and perturbative black brane solutions at finite temperature, revealing modifications to physical properties.

Contribution

It presents the first exact solutions for Lifshitz spacetimes with Gauss-Bonnet corrections and analyzes their thermodynamic and causality properties.

Findings

Finite renormalization of the dynamical exponent.

Violation of the KSS viscosity bound persists.

Causality constraints are not applicable in this non-relativistic setting.

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.