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Analytic Solutions to the Constraint Equation for a Force-Free Magnetosphere around a Kerr Black Hole
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The Blandford-Znajek constraint equation for a stationary, axisymmetric black-hole force-free magnetosphere is cast in a 3+1 absolute space and time formulation, following Komissarov (2004). We derive an analytic solution for fields and currents to the constraint equation in the far-field limit that satisfies the Znajek condition at the event horizon. This solution generalizes the Blandford-Znajek monopole solution for a slowly rotating black hole to black holes with arbitrary angular momentum. Energy and angular momentum extraction through this solution occurs mostly along the equatorial plane. We also present a nonphysical, reverse jet-like solution.
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Black hole magnetospheres in the Born-Infeld theory
In Born-Infeld electrodynamics, the Blandford-Znajek energy extraction rate from a rotating black hole is reduced relative to Maxwell theory, with the suppression controlled by the black-hole mass and the Born-Infeld scale.
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