Relativistic fluid flows in the magnetized Schwarzschild spacetime

Physics – Fluid Dynamics

Scientific paper

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Fluid Flow, Magnetohydrodynamic Flow, Relativistic Theory, Schwarzschild Metric, Electromagnetic Fields, Fluid Dynamics, Gravitational Effects, Perturbation

Scientific paper

Relativistic magnetohydrodynamics plays an important role in accretion processes. Unfortunately, a complete and rigorous study of this subject is indeed very difficult. It involves, for example, hydromagnetic flows in evolving spacetimes as well as the interaction of charged fluids with electromagnetic fields. Nonetheless, by making a set of restrictive assumptions, analytical and numerical relativistic hydrodynamics solutions for the vacuum Schwarzschild and Kerr spacetimes were found. We propose an extension of this work by considering as a fixed background the magnetized Schwarzschild metric. Two cases (in the equatorial plane) are considered. The geodesic infall (pressure neglected), and the accretion (including pressure) of a polytropic gas.

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