Hydrodynamics of a black brane in Gauss-Bonnet massive gravity

A black brane solution to 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 a 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 the Gauss-Bonnet term, a nonzero mass parameter does not contribute to the ratio which saturates the bound of 1/4 pi.