摘要

With R(2) and R(3) corrections to asymptotical Lifshitz space-time,we obtain pure Lovelock gravity solution and solution with non-trivial matter in 7-dimensional space-time. Then we obtain the general solution for any arbitrary dimensional space. In this paper, we also study black brane solutions in 7-dimensional Lifshitz space-time via the method of perturbation. And we popularize the black brane solution to arbitrary higher dimensions and discuss the ratio of shear viscosity to entropy density ratio eta/s. Then we analyze the result of eta/s to find that the correction of n-th (n >= 3) order Lovelock term has trivial influence to eta/s.

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