Analytical and Numerical Methods and Test Calculations of One-Dimensional Force–Free Magnetodynamics on Arbitrary Magnetic Surfaces across Horizons of Spinning Black Holes. (arXiv:1910.04929v1 [astro-ph.HE])

Analytical and Numerical Methods and Test Calculations of One-Dimensional Force–Free Magnetodynamics on Arbitrary Magnetic Surfaces across Horizons of Spinning Black Holes. (arXiv:1910.04929v1 [astro-ph.HE])
<a href="http://arxiv.org/find/astro-ph/1/au:+Koide_S/0/1/0/all/0/1">Shinji Koide</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Imamara_T/0/1/0/all/0/1">Tomoki Imamara</a>

Numerical simulations of the force-free magnetodynamics (FFMD) of the
electromagnetic field around a spinning black hole are useful to investigate
the dynamic electromagnetic processes around a spinning black hole, such as the
emergence of the Blandford–Znajek mechanism. To reveal the basic physics of
magnetic fields around a black hole through the dynamic process, we use
one-dimensional (1D) FFMD along the axisymmetric magnetic surface, which
provides a relatively simple, sufficiently precise, and powerful tool to
analyze the dynamic process around a spinning black hole. We review the
analytic and numerical aspects of 1D FFMD for an arbitrary magnetic surface
around a black hole. In addition, we also show some numerical simulation test
results for three types of magnetic surfaces at the equatorial plane of the
black hole.

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