Universality of second order transport in Gauss-Bonnet gravity

TL;DR

This paper calculates second order transport coefficients in a hydrodynamic theory with a gravity dual including Gauss-Bonnet terms, revealing certain universal behaviors despite higher curvature corrections.

Contribution

It extends the computation of second order transport coefficients to Gauss-Bonnet gravity, showing the persistence of specific linear combinations that vanish in simpler theories.

Findings

A particular linear combination of second order coefficients remains zero with Gauss-Bonnet corrections.

The shear viscosity to entropy density ratio is affected differently by the Gauss-Bonnet term.

Certain universal properties of transport coefficients are preserved despite higher curvature modifications.

Abstract

We compute all the second order transport coefficients of a hydrodynamic theory with a gravity dual which includes a Gauss-Bonnet term. We find that a particular linear combination of the second order transport coefficients, which was found to vanish in generic two derivative gravity theories with matter, remains zero even in the presence of the Gauss-Bonnet term. We contrast this behavior with the shear viscosity to entropy density ratio.