Causality Bounds on Dissipative General-Relativistic Magnetohydrodynamics
High Energy Astrophysical Phenomena
2024-09-02 v2 General Relativity and Quantum Cosmology
Nuclear Theory
Plasma Physics
Abstract
We derive necessary and sufficient conditions under which a large class of relativistic generalizations of Braginskii's magnetohydrodynamics with shear, bulk, and heat diffusion effects is causal and strongly hyperbolic in the fully nonlinear regime in curved spacetime. We find that causality severely constrains the size of nonideal effects and the onset of kinetic instabilities. Our results are crucial for assessing the regime of validity of fluid dynamical simulations of plasmas near supermassive black holes.
Keywords
Cite
@article{arxiv.2312.09970,
title = {Causality Bounds on Dissipative General-Relativistic Magnetohydrodynamics},
author = {Ian Cordeiro and Enrico Speranza and Kevin Ingles and Fábio S. Bemfica and Jorge Noronha},
journal= {arXiv preprint arXiv:2312.09970},
year = {2024}
}
Comments
16 pages, 1 figure, includes Supplemental Material. Accepted for publication in Physical Review Letters