Relativistic Radiation Magnetohydrodynamics in Dynamical Spacetimes: Numerical Methods and Tests
| dc.creator | Farris, Brian D. | |
| dc.creator | Li, Tsz Ka | |
| dc.creator | Liu, Yuk Tung | |
| dc.creator | Shapiro, Stuart L. | |
| dc.date | 2008-02-21 | |
| dc.date.accessioned | 2026-07-07T11:40:25Z | |
| dc.date.available | 2026-07-07T11:40:25Z | |
| dc.description | Many systems of current interest in relativistic astrophysics require a knowledge of radiative transfer in a magnetized gas flowing in a strongly-curved, dynamical spacetime. Such systems include coalescing compact binaries containing neutron stars or white dwarfs, disks around merging black holes, core collapse supernovae, collapsars, and gamma-ray burst sources. To model these phenomena, all of which involve general relativity, radiation (photon and/or neutrino), and magnetohydrodynamics, we have developed a general relativistic code capable of evolving MHD fluids and radiation in dynamical spacetimes. Our code solves the coupled Einstein-Maxwell-MHD-Radiation system of equations both in axisymmetry and in full 3+1 dimensions. We evolve the metric by integrating the BSSN equations, and use a conservative, high-resolution shock-capturing scheme to evolve both the MHD and radiation moment equations. In this paper, we implement our scheme for optically thick gases and grey-body opacities. Our code gives accurate results in a suite of tests involving radiating shocks and nonlinear waves propagating in Minkowski spacetime. In addition, to test our code's ability to evolve the relativistic radiation-MHD equations in strong-field dynamical spacetimes, we study "thermal Oppenheimer-Snyder collapse" to a black hole, and find good agreement between analytic and numerical solutions. | |
| dc.description | 20 pages, 8 figures, submitted to PRD | |
| dc.identifier | https://arxiv.org/abs/0802.3210 | |
| dc.identifier | http://arxiv.org/abs/0802.3210 | |
| dc.identifier | Phys.Rev.D78:024023,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.024023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/200248 | |
| dc.subject | Astrophysics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Relativistic Radiation Magnetohydrodynamics in Dynamical Spacetimes: Numerical Methods and Tests | |
| dc.type | text |