Hyperscaling-Violating Lifshitz hydrodynamics from black-holes: Part II
Abstract
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. The bulk viscosity vanishes while the shear viscosity to entropy ratio is the same as in the relativistic case. We also consider the dimensional reduction ansatz for the hydrodynamics and clarify the difference with previous results suggesting a non-vanishing bulk viscosity.
Keywords
Cite
@article{arxiv.1611.04773,
title = {Hyperscaling-Violating Lifshitz hydrodynamics from black-holes: Part II},
author = {Elias Kiritsis and Yoshinori Matsuo},
journal= {arXiv preprint arXiv:1611.04773},
year = {2017}
}
Comments
52 pages, v2: published version, many minor misprints corrected, 55 pages