Moving away from the Near-Horizon Attractor of the Extreme Kerr Force-Free Magnetosphere. (arXiv:2007.15665v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Camilloni_F/0/1/0/all/0/1">F. Camilloni</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Grignani_G/0/1/0/all/0/1">G. Grignani</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Harmark_T/0/1/0/all/0/1">T. Harmark</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Oliveri_R/0/1/0/all/0/1">R. Oliveri</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Orselli_M/0/1/0/all/0/1">M. Orselli</a>
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 and
negative angular momentum outflow. This result is achieved using a perturbative
analysis up to the second order.
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 and
negative angular momentum outflow. This result is achieved using a perturbative
analysis up to the second order.
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