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.
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Rajagopal, A., Thorlacius, L. Lifshitz hydrodynamics at generic z from a moving black brane. J. High Energ. Phys. 2021, 197 (2021). https://doi.org/10.1007/JHEP07(2021)197
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DOI: https://doi.org/10.1007/JHEP07(2021)197