General-Relativistic Magnetohydrodynamic Equations: the bare essential
Abstract
Recent years have seen a significant progress in the development of general relativistic codes for the numerical solution of the equations of magnetohydrodynamics in spacetimes with high and dynamical curvature. These codes are valuable tools to explore the large-scale plasma dynamics such as that takes place when two neutron stars collide or when matter accretes onto a supermassive black hole. This chapter is meant to provide a very brief but complete overview of the set of equations that are normally solved in modern numerical codes after they are cast into a conservative formulation within a 3+1 split of spacetime.
Cite
@article{arxiv.2404.13824,
title = {General-Relativistic Magnetohydrodynamic Equations: the bare essential},
author = {Yosuke Mizuno and Luciano Rezzolla},
journal= {arXiv preprint arXiv:2404.13824},
year = {2024}
}
Comments
27 pages, 2 figures, Invited chapter for the edited book "New Frontiers in GRMHD Simulations" (Eds. C. Bambi, Y. Mizuno, S. Shashank and F. Yuan, Springer Singapore, expected in 2024), Comments and suggestions on missed references are welcome