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On the existence of the Blandford-Znajek monopole for a slowly rotating Kerr black hole
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The Blandford-Znajek monopole is a conjectured solution of force-free electrodynamics in the vicinity of a slowly rotating Kerr black hole, supposedly defined as a perturbation in small angular momentum. It is used to argue for the extraction of energy from rotating black holes by the Blandford-Znajek process. We set up a careful analysis of the perturbative definition of the Blandford-Znajek monopole, showing in particular that the regime in which it is defined allows to use the technique of matched asymptotic expansions. Our conclusion is that the Blandford-Znajek monopole, as it is defined, is not consistent with demanding physically reasonable boundary conditions far away from the event horizon. This puts into question the existence of the Blandford-Znajek monopole, at least in the limit of slow rotation of the Kerr black hole.
Forward citations
Cited by 2 Pith papers
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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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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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