Post-Newtonian Magnetohydrodynamics
High Energy Astrophysical Phenomena
2020-01-14 v1 General Relativity and Quantum Cosmology
Abstract
Using the fully nonlinear and exact perturbation formulation with magnetohydrodynamics (MHD) in Minkowski background we derive first-order post-Newtonian (1PN) equations without imposing the slicing (temporal gauge) condition. The 1PN MHD formulation is complementary to our recently presented fully relativistic MHD combined with 0PN gravity available only in the maximal slicing. We present the 1PN MHD equations in two gauge conditions previously used in the literature and provide gauge transformation relations between different gauges. We derive the PN effects on MHD waves in a static homogeneous medium.
Keywords
Cite
@article{arxiv.2001.04302,
title = {Post-Newtonian Magnetohydrodynamics},
author = {Jai-chan Hwang and Hyerim Noh},
journal= {arXiv preprint arXiv:2001.04302},
year = {2020}
}
Comments
10 pages, no figure