Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum

Understand

We construct a new class of 4-dimensional z=2 Lifshitz black branes that have a nonzero linear momentum.

• These are solutions of an Einstein-Proca-dilaton model that can be obtained by Scherk-Schwarz circle reduction of AdS_5 gravity coupled to a free real scalar field.
• The boundary of a bulk Lifshitz space-time is a Newton-Cartan geometry.
• We show that the fluid dual to the moving Lifshitz black brane leads to a novel form of Lifshitz hydrodynamics on a Newton-Cartan space-time.