Abstract
In this paper, we calculate the ratio of transverse shear viscosity to entropy density for the general anisotropic black brane in Horava–Lifshitz gravity. There is a well-known conjecture that states this ratio should be larger than \(\frac{{1}}{4\pi }\). The ratio of shear viscosity to entropy density is proportional to the inverse square coupling of quantum thermal field theory, \(\frac{{\eta }}{s} \sim \frac{{1}}{\lambda ^2 }\). Especially in QFT with gravity dual the stronger coupling means the shear viscosity per entropy density gets closer to the lower bound of \(\frac{{1}}{4\pi }\). The KSS bound preserves in the anisotropic scaling model.
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Author would like to thank Shahrokh Parvizi for useful comments and suggestions.
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Sadeghi, M. Transverse shear viscosity to entropy density for the general anisotropic black brane in Horava–Lifshitz gravity. Indian J Phys 94, 1119–1122 (2020). https://doi.org/10.1007/s12648-019-01523-6
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DOI: https://doi.org/10.1007/s12648-019-01523-6