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First-order relativistic hydrodynamics is stable

2019/07/31 by Pavel Kovtun · 1 citation
Physics and Astronomy · #hep-th #gr-qc #hep-ph

paper · pdf · doi:10.1007/jhep10(2019)034

published as JHEP 1910 (2019) 034 · 26 pages. V2: Small clarifications, version published in JHEP

arxiv created 2019/10/18 · arxiv updated 2019/10/22

Abstract

We study linearized stability in first-order relativistic viscous hydrodynamics in the most general frame. There is a region in the parameter space of transport coefficients where the perturbations of the equilibrium state are stable. This defines a class of stable frames, with the Landau-Lifshitz frame falling outside the class. The existence of stable frames suggests that viscous relativistic fluids may admit a sensible hydrodynamic description in terms of temperature, fluid velocity, and the chemical potential only, i.e. in terms of the same hydrodynamic variables as non-relativistic fluids. Alternatively, it suggests that the Israel-Stewart and similar constructions may be unnecessary for a sensible relativistic hydrodynamic theory.

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