Lifshitz hydrodynamics at generic $z$ from a moving black brane

Abstract

A Lifshitz black brane at generic dynamical critical exponent $z>1$, with non-zero linear momentum along the boundary, provides a holographic dual description of a non-equilibrium steady state in a quantum critical fluid, with Lifshitz scale invariance but without boost symmetry. We consider moving Lifshitz branes in Einstein-Maxwell-Dilaton gravity and obtain the non-relativistic stress tensor complex of the dual field theory via a suitable holographic renormalisation procedure. The resulting black brane hydrodynamics and thermodynamics are a concrete holographic realization of a Lifshitz perfect fluid with a generic dynamical critical exponent.

18 pages

References in corpus (7)

• Nonlinear Fluid Dynamics from Gravity
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Gravity duals for non-relativistic CFTs
• Holographic stress tensor for non-relativistic theories
• Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum
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Cited by in corpus (2)

• Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
• Relativistic Fluids, Hydrodynamic Frames and their Galilean versus Carrollian Avatars