Hyperscaling-Violating Lifshitz hydrodynamics from black-holes: Part II

Understand

The derivation of Lifshitz-invariant hydrodynamics from holography, presented in [arXiv:1508.02494] is generalized to arbitrary hyperscaling violating Lifshitz scaling theories with an unbroken U(1) symmetry.

• The hydrodynamics emerging is non-relativistic with scalar "forcing".
• By a redefinition of the pressure it becomes standard non-relativistic hydrodynamics in the presence of specific chemical potential for the mass current.
• The hydrodynamics is compatible with the scaling theory of Lifshitz invariance with hyperscaling violation.