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Near-horizon Extreme Kerr Magnetospheres
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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.
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Cited by 1 Pith paper
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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.
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