On the existence of the Blandford-Znajek monopole for a slowly rotating Kerr black hole
arXiv:1804.05846 · doi:10.1103/PhysRevD.98.084056
Abstract
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.
8 pages, pdflatex. v2: minor typos corrected, conclusion improved, acknowledgments added. v3: published version, references added, MAE explanation and conclusions slightly expanded
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Cited by in corpus (9)
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- Consistent Blandford-Znajek Expansion
- Blandford-Znajek Process in Quadratic Gravity
- Blandford-Znajek jets in MOdified Gravity
- Moving away from the Near-Horizon Attractor of the Extreme Kerr Force-Free Magnetosphere
- Force-free electrodynamics near rotation axis of a Kerr black hole
- Black hole magnetospheres in the Born-Infeld theory
- Particle acceleration driven by null electromagnetic fields near a Kerr black hole