Moving away from the Near-Horizon Attractor of the Extreme Kerr Force-Free Magnetosphere
arXiv:2007.15665 · doi:10.1088/1475-7516/2020/10/048
Abstract
We consider force-free magnetospheres around the extreme Kerr black hole. In this case there is no known exact analytic solution to force free electrodynamics which is stationary, axisymmetric and magnetically-dominated. However, any stationary, axisymmetric and regular force-free magnetosphere in extreme Kerr black hole approaches the same attractor solution in the near-horizon extreme Kerr (NHEK) limit with null electromagnetic field. We show that by moving away from the attractor solution in the NHEK region, one finds magnetically-dominated solutions in the extreme Kerr black hole with finite angular momentum outflow. This result is achieved using a perturbative analysis up to the second order.
arXiv comment33 pages, 2 figures; v2: matches published version in JCAP
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