Abstract
We discuss the dynamics of the accretion flow onto a black hole driven by the Poynting flux in a simplified model of a two-dimensional accretion disk. In this simplified model, the condition for stationary accretion flow is found to impose a nontrivial constraint on the magnetic field configuration. We discuss the numerical solutions of the stream equation for a stationary accretion flow in the Schwarzschild background using a paraboloidal-type configuration. The dynamics of the accretion disk are found to depend strongly on the ratio of the accretion rate to the magnetic field strength.
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