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Note on Bunching of Field Lines in Black Hole Magnetospheres · Around

2015

Note on Bunching of Field Lines in Black Hole Magnetospheres

Gralla, Samuel E., Lupsasca, Alexandru, Rodriguez, Maria J.

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Numerical simulations of Blandford-Znajek energy extraction at high spin have revealed that field lines tend to bunch near the poles of the event horizon.

We show that this behavior can be derived analytically from the assumption of fixed functional dependence of current and field line rotation on magnetic flux.
The argument relies crucially on the existence of the Znajek condition, which offers non-trivial information about the fields on the horizon without requiring a full force-free solution.
We also provide some new analytic expressions for the parabolic field configuration.

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F. C. Michel, ApJ 180
1973
Earlier work this paper cites.
R. D. Blandford, MNRAS 176
1976
Earlier work this paper cites.
R. D. Blandford and R. L. Znajek, MNRAS 179
1977
Earlier work this paper cites.
R. L. Znajek, MNRAS 179
1977
Earlier work this paper cites.

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Then

S. E. Gralla and T. Jacobson, MNRAS 445
Original
2014
Later among the works it cites.
Z. Pan and C. Yu, (2014), arXiv:1406.4936 [astro-ph.HE]
Original
2014
Later among the works it cites.
S. E. Gralla, A. Lupsasca, and M. J. Rodriguez, (2015), arXiv:1504.02113 [gr-qc]
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2015
Closest in time.

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