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In this paper, we consider Einstein-Hilbert gravity in the presence ofcosmological constant and an electric field of Yang-Mills type, which isminimally coupled to gravity. We couple the Ricci scalar to the Yang-Millsinvariant to obtain a modified theory of gravity. The black brane solution ofthis model is introduced up to the first order of the $RF^{(a)}_{\mu \alpha}F^{(a)\mu \alpha} $ term. Then, the color non-abelian direct current (DC)conductivity and the ratio of shear viscosity to entropy density are calculatedfor this solution. Our results recover the Yang-Mills Schwarzschild AdS blackbrane in the limit of $q_2 \to 0$.

Holographic Aspects of Non-minimal $RF^{(a)}_{\mu \alpha }F^{(a)\mu \alpha} $ Black Brane