Near-horizon Extreme Kerr Magnetospheres
arXiv:1509.07637 · doi:10.1103/PhysRevD.93.024035
Abstract
Analytical solutions to force-free electrodynamics around black holes are fundamental for building simple models of accretion disk and jet dynamics. We present a (nonexhaustive) classification of complex highest-weight solutions to the force-free equations in the near-horizon region of the extremal Kerr black hole. Several classes of real magnetically dominated or null solutions, either axisymmetric or nonaxisymmetric, are described which admit finite energy and angular momentum with respect to the asymptotically flat observer. Subtleties related to the velocity of light surface in the near-horizon region are discussed.
Erratum version, 50 pages, 6 figures
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- Moving away from the Near-Horizon Attractor of the Extreme Kerr Force-Free Magnetosphere
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- Expanded solutions of force-free electrodynamics on general Kerr black holes