Hydrodynamics of a Black Brane in Gauss-Bonnet Massive Gravity

TL;DR

This paper investigates the hydrodynamic properties of a black brane in Gauss-Bonnet massive gravity within the AdS/CFT framework, revealing violations of the KSS bound due to higher derivative effects.

Contribution

It introduces a new black brane solution in Gauss-Bonnet massive gravity and computes the viscosity to entropy ratio, showing how it deviates from the universal bound.

Findings

Viscosity to entropy ratio depends on Gauss-Bonnet coupling.

Higher derivative terms lead to violation of the KSS bound.

Massless limit recovers known ratio; massive effects alter the ratio.

Abstract

A black brane solution to a Gauss-Bonnet massive gravity is introduced. In the context of AdS/CFT correspondence, the viscosity to entropy ratio is found by the Green-Kubo formula. The result indicates violation of the well-known KSS bound as expected in a higher derivative theory. Setting mass zero gives back the known viscosity to entropy ratio dependent on the Gauss-Bonnet coupling, while without Gauss-Bonnet term, a nonzero mass parameter doesn't contribute to the ratio which saturates the bound of $1/4\pi$.