A near-axis expansion of the force-free stream equation shows that no regular, monopole-like Kerr magnetosphere can be continuously deformed to the Schwarzschild split-monopole in the zero-spin limit.
Force-Free Electrodynamics around Extreme Kerr Black Holes
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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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gr-qc 1years
2019 1verdicts
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Force-free electrodynamics near rotation axis of a Kerr black hole
A near-axis expansion of the force-free stream equation shows that no regular, monopole-like Kerr magnetosphere can be continuously deformed to the Schwarzschild split-monopole in the zero-spin limit.