# Charge-hyperscaling violating Lifshitz hydrodynamics from black-holes

Journal of High Energy Physics, Dec 2015

Non-equilibrium black hole horizons are considered in scaling theories with generic Lifshitz invariance and an unbroken U(1) symmetry. There is also charge-hyperscaling violation associated with a non-trivial conduction exponent. The boundary stress tensor is computed and renormalized and the associated hydrodynamic equations derived. Upon a non-trivial redefinition of boundary sources associated with the U(1) gauge field, the equations are mapped to the standard non-relativistic hydrodynamics equations coupled to a mass current and an external Newton potential in accordance with the general theory of [43]. The shear viscosity to entropy ratio is the same as in the relativistic case.

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Elias Kiritsis, Yoshinori Matsuo. Charge-hyperscaling violating Lifshitz hydrodynamics from black-holes, Journal of High Energy Physics, 2015, 1-51, DOI: 10.1007/JHEP12(2015)076