A Lagrangian formulation of relativistic Israel-Stewart hydrodynamics
High Energy Physics - Theory
2016-11-02 v3 High Energy Physics - Phenomenology
Nuclear Theory
Fluid Dynamics
Abstract
We rederive relativistic hydrodynamics as a Lagrangian effective theory using the doubled coordinates technique, allowing us to include dissipative terms. We include Navier-Stokes shear and bulk terms, as well as Israel-Stewart relaxation time terms, within this formalism. We show how the inclusion of shear viscosity, and the requirement of a bounded energy-momentum "vacuum", forces the inclusion of the Israel-Stewart term into the theory, thereby providing a justification for the origin and uniqueness of these terms.
Keywords
Cite
@article{arxiv.1604.05291,
title = {A Lagrangian formulation of relativistic Israel-Stewart hydrodynamics},
author = {Giorgio Torrieri and David Montenegro},
journal= {arXiv preprint arXiv:1604.05291},
year = {2016}
}
Comments
Version accepted by Phys.Rev.D Typos and errors fixed, discussion streamlined and extended