Magnetohydrodynamics in full general relativity: Formulation and tests
摘要
A new implementation for magnetohydrodynamics (MHD) simulations in full general relativity (involving dynamical spacetimes) is presented. In our implementation, Einstein's evolution equations are evolved by a BSSN formalism, MHD equations by a high-resolution central scheme, and induction equation by a constraint transport method. We perform numerical simulations for standard test problems in relativistic MHD, including special relativistic magnetized shocks, general relativistic magnetized Bondi flow in stationary spacetime, and a longterm evolution for self-gravitating system composed of a neutron star and a magnetized disk in full general relativity. In the final test, we illustrate that our implementation can follow winding-up of the magnetic field lines of magnetized and differentially rotating accretion disks around a compact object until saturation, after which magnetically driven wind and angular momentum transport inside the disk turn on.
关键词
引用
@article{arxiv.astro-ph/0507383,
title = {Magnetohydrodynamics in full general relativity: Formulation and tests},
author = {Masaru Shibata and Yu-ichiou Sekiguchi},
journal= {arXiv preprint arXiv:astro-ph/0507383},
year = {2009}
}
备注
28 pages, to be published in Phys. Rev. D