Perturbative holographic calculation yields σ = 1 − q₂(9κQ²/(L² r_h⁴) + 7κ²Q⁴/(4 r_h⁸)) and η/s = (1/(4π))(1 + q₂ 7κ²Q⁴/(2 r_h⁸)) for a nonminimal AdS black brane.
Hydrodynamics of a Black Brane in Gauss-Bonnet Massive Gravity
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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 $1/4\pi$.
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Hydrodynamics of Nonminimal $F^{(a)\alpha \beta } F^{(a)\gamma \lambda } R_{\alpha \gamma } R_{\beta \lambda }$ AdS Black Brane
Perturbative holographic calculation yields σ = 1 − q₂(9κQ²/(L² r_h⁴) + 7κ²Q⁴/(4 r_h⁸)) and η/s = (1/(4π))(1 + q₂ 7κ²Q⁴/(2 r_h⁸)) for a nonminimal AdS black brane.