General Relativistic Magneto Hydrodynamic
General Relativistic Magnetohydrodynamics (GRMHD) is a combination of General Relativity and Magnetohydrodynamics [1][2][3][4][5]The equations of MHD represent a very effective tool to describe the dynamics of astrophysical plasmas and, because of this, they are employed in a variety of scenarios in astrophysics and cosmology. When applied in their GRMHD form to study astrophysical compact objects, they are the most accurate and powerful tool to explore the properties of compact black holes and neutron stars in fully dynamical and nonlinear regimes. In this chapter, we have presented the MHD equations in generic and curved spacetimes, either in the ideal-MHD limit (GRMHD equations) or in the presence of resistivity (GRRMHD equations). The basic aspects of a 3+1 decomposition of spacetime and the importance of writing the MHD equations in a conservative form.
Reference
- ↑ "General-Relativistic Magnetohydrodynamic Equations: the bare essential". arxiv.org. Retrieved 2025-12-13.
- ↑ Andrew, Chael, (2024-07-19). "Hybrid GRMHD and force-free simulations of black hole accretion". Monthly Notices of the Royal Astronomical Society. 532 (3). doi:10.1093/mnra. ISSN 0035-8711. Archived from the original on 2024-11-22.
- ↑ Mościbrodzka, Monika; Falcke, Heino; Shiokawa, Hotaka (2016-02-01). "General relativistic magnetohydrodynamical simulations of the jet in M 87". Astronomy & Astrophysics. 586: A38. doi:10.1051/0004-6361/201526630. ISSN 0004-6361.
- ↑ Hardee, Philip; Mizuno, Yosuke; Nishikawa, Ken-Ichi (2007-10-01). "GRMHD/RMHD simulations & stability of magnetized spine-sheath relativistic jets". Astrophysics and Space Science. 311 (1): 281–286. doi:10.1007/s10509-007-9529-1. ISSN 1572-946X.
- ↑ "HEAg - GRMHD". sites.google.com. Retrieved 2025-12-13.
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