Relativistic-magnetohydrodynamics equations and equatorial radial motion in the magnetized Schwarzschild space-time.

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Magnetohydrodynamics: General Relativity

Scientific paper

Relativistic-magnetohydrodynamics equations resulting from the interaction of perfect fluids (non-polarizable) with electromagnetic field are reviewed and presented in a form suitable for numerical studies. As a particular case, the equatorial radial motion in the magnetized Schwarzschild space-time is investigated. Two cases are considered. The radial geodesic infall (pressure neglected) and the radial accretion (including pressure) of a polytropic gas. The author has found the location of the critical points where hydromagnetic flows go from a subsonic to a supersonic regime.

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