Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability
General Relativity and Quantum Cosmology
2025-04-30 v2 High Energy Astrophysical Phenomena
High Energy Physics - Theory
Abstract
We propose a first-order theory of relativistic dissipative fluids in the trace-fixed particle frame, which is similar to Eckart's frame except that the temperature is determined by fixing the trace of the stress-energy tensor. Our theory is hyperbolic and causal provided a single inequality holds. For low wave numbers, the expected damped modes in the shear, acoustic, and heat diffusion channels are recovered. Stability of global equilibria with respect to all wave numbers is also analyzed. The conditions for hyperbolicity, causality and stability are satisfied for a simple gas of hard spheres or disks.
Cite
@article{arxiv.2412.03712,
title = {Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability},
author = {J. Félix Salazar and Ana Laura García-Perciante and Olivier Sarbach},
journal= {arXiv preprint arXiv:2412.03712},
year = {2025}
}
Comments
10 pages, 2 figures. Improved version to match published one