General-Relativistic MHD for the Numerical Construction of Dynamical Spacetimes
Astrophysics
2009-11-07 v1 General Relativity and Quantum Cosmology
Abstract
We assemble the equations of general relativistic magnetohydrodynamics (MHD) in 3+1 form. These consist of the complete coupled set of Maxwell equations for the electromagnetic field, Einstein's equations for the gravitational field, and the equations of relativistic MHD for a perfectly conducting ideal gas. The adopted form of the equations is suitable for evolving numerically a relativistic MHD fluid in a dynamical spacetime characterized by a strong gravitational field.
Keywords
Cite
@article{arxiv.astro-ph/0211340,
title = {General-Relativistic MHD for the Numerical Construction of Dynamical Spacetimes},
author = {Thomas W. Baumgarte and Stuart L. Shapiro},
journal= {arXiv preprint arXiv:astro-ph/0211340},
year = {2009}
}
Comments
8 pages; scheduled for March 10 issue of ApJ