Charge-Hyperscaling Violating Lifshitz hydrodynamics from black-holes

Understand

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 [arXiv:1502.00228].