Draft:General Relativistic Magneto Hydrodynamic

• File:Symbol opinion vote.svg Comment: Page created to AfD by a now blocked user. The current draft is not close to appropriate, and would need substantial revision. If they are unblocked at some time in the future they can create a more appropriate version and submit it to AfC. Ldm1954 (talk) 16:11, 17 December 2025 (UTC)

• File:Symbol opinion vote.svg Comment: I see you have a lot of sources, yet the rest of it is unsourced. That is way too many sources anyway to have in a long line. ScrabbleTiles (talk) 15:33, 14 December 2025 (UTC)

• File:Symbol opinion vote.svg Comment: Because of what I highlighted below, I feel more confident of declining this due to copyvio violations, the source does exist as an inline citation, but it is not in the right place. --pro-anti-air ––>(talk)<–– 03:48, 14 December 2025 (UTC)

• File:Symbol opinion vote.svg Comment: I missed this, it even contains "". --pro-anti-air ––>(talk)<–– 03:46, 14 December 2025 (UTC)

• File:Symbol opinion vote.svg Comment: It appears that some content in the lead is copied off of doi.org/10.1007/978-981-97-8522-3 1. Copypatrol report --pro-anti-air ––>(talk)<–– 03:43, 14 December 2025 (UTC)

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General Relativistic Magneto Hydrdynamics (GRMHD) is combination of General Relativity and Magnetohydrodynamics when applied in their GRMHD.

Applications

For modeling high energy astrophysical phenomenon

• Neutron starmerger (Gravitational wave event)
• Accretion disksaround black hole
• Relativistic jetsfrom black hole
• Magnetically arrested disks near event horizon

Importance

• It is useful near black hole s, frame dragging, Gravitational lens, Blandford-Znajek process
• In numerical simulation using GRMHD code H-AMR, BHAC, IllinoisGRMHD, Athena ++

GRMHD equations

GRMHD equations deals with three basic equation (strees- energy -tensor, conservation law of fluid, Faraday 's law of MHD)

Conservation law

Baryon number conservation

Energy–momentum relation

Faraday 's law (Ideal MHD condition) - Infinite conductivity

${\mathrm{\nabla }}_{*}{F}^{\mu \nu }=0$ = $u^{\mu }{F}_{\mu \nu }=0$=$\mathrm{\nabla }.B=0$ Magnetic field is frozen into fluid $b^{\mu }=1/2{ϵ}^{\mu \nu \alpha \beta }{u}_{\nu }{F}_{\alpha \beta }$

An equation of state $p=K{\rho }_{\Gamma }$