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We calculate the ratio of shear viscosity to entropy density for a blackbrane of $5$-dimensional Einstein-Yang-Mills Gravity by Kubo and membraneparadigm methods. The former gives $\frac{1}{4\pi}$ exactly which is anexpected result in the context of the Einstein-Hilbert gravity. In contrast,the membrane paradigm reaches $\frac{1}{4\pi}$ only in large horizon radiuslimit. We comment on this discrepancy.

Shear Viscosity to Entropy Density for a Black Brane in 5-dimensional Einstein-Yang-Mills Gravity