On time evolution of force-free magnetospheres around a slowly rotating compact object
F. J. FattoyevDepartment of Physics, Manhattan College, 4513 Manhattan College Pkwy, Riverdale, NY 10471, USAPulat TadjimuratovUlugh Beg Astronomical Institute, Astronomy st. 33 100052, Tashkent, UzbekistanNozima JuraevaUlugh Beg Astronomical Institute, Astronomy st. 33 100052, Tashkent, Uzbekistan
ABI
Abstract
This paper reformulates the stability structure of force-free magnetosphere of a rotating black hole discussed in paper [1]. We do some corrections in the main equations of relativistic magnetohydrodynamics written by this author. It is shown that in a regime of slow rotation, evolution equations (18)-(20) and Maxwell equations (B6), (B7), and (B13) of paper [1] were not written correctly. Although there is a large number of typos in the equations given by [1], our calculations show this does not violate the stability structure of force-free magnetosphere which in its turn means that the energy extraction mechanism via surrounding, stable forcefree magnetosphere of a rotating black hole immersed in magnetic field can exist.
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