Abstract
Plasma-filled magnetospheres can extract energy from a spinning black hole and provide the power source for a variety of observed astrophysical phenomena. These magnetospheres are described by the highly nonlinear equations of force-free electrodynamics, or FFE. Typically these equations can only be solved numerically. In this paper we consider the FFE equations very near the horizon of a maximally spinning black hole, where the energy extraction takes place. Thanks to an enhanced conformal symmetry which appears in this near-horizon region, we are able to analytically obtain several infinite families of exact solutions of the full nonlinear equations.
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Lupsasca, A., Rodriguez, M.J. & Strominger, A. Force-free electrodynamics around extreme Kerr black holes. J. High Energ. Phys. 2014, 185 (2014). https://doi.org/10.1007/JHEP12(2014)185
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DOI: https://doi.org/10.1007/JHEP12(2014)185