Centrifugal and gravitational forces both raise magnetic reconnection rates near Kerr black holes, with gravity separating charges and centrifugal force shortening the current sheet via curved geometry seen by a comoving observer.
Generalized General Relativistic MHD Equations and Distinctive Plasma Dynamics around Rotating Black Holes
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abstract
To study phenomena of plasmas around rotating black holes, we have derived a set of 3+1 formalism of generalized general relativistic magnetohydrodynamic (GRMHD) equations. Especially, we investigated general relativistic phenomena with respect to the Ohm's law. We confirmed the electromotive force due to the gravitation, centrifugal force, and frame-dragging effect in plasmas near the black holes. These effects are significant only in the local small-scale phenomena compared to the scale of astrophysical objects. We discuss the possibility of magnetic reconnection, which is triggered by one of these effects in a small-scale region and influences the plasmas globally. We clarify the conditions of applicability of the generalized GRMHD, standard resistive GRMHD, and ideal GRMHD for plasmas in black hole magnetospheres.
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Magnetic reconnection under centrifugal and gravitational electromotive forces
Centrifugal and gravitational forces both raise magnetic reconnection rates near Kerr black holes, with gravity separating charges and centrifugal force shortening the current sheet via curved geometry seen by a comoving observer.