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A Measurement of the Electromagnetic Luminosity of a Kerr Black Hole

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McKinney, Jonathan C., Gammie, Charles F.·2004·The Astrophysical Journal

Abstract

Some active galactic nuclei, microquasars, and gamma-ray bursts may be powered by the electromagnetic braking of a rapidly rotating black hole. We investigate this possibility via axisymmetric numerical simulations of a black hole surrounded by a magnetized plasma. The plasma is described by the equations of general relativistic magnetohydrodynamics, and the effects of radiation are neglected. The evolution is followed for 2000 GM / c 3 , and the computational domain extends from inside the event horizon to typically 40 GM / c 2 . We compare our results to two analytic steady state models, including the force-free magnetosphere of Blandford & Znajek. Along the way we present a self-contained rederivation of the Blandford-Znajek model in Kerr-Schild (horizon penetrating) coordinates. We find that (1) low-density polar regions of the numerical models agree well with the Blandford-Znajek model, (2) many of our models have an outward Poynting flux on the horizon in the Kerr-Schild frame, (3) none of our models have a net outward energy flux on the horizon, and (4) one of our models, in which the initial disk has net magnetic flux, shows a net outward angular momentum flux on the horizon. We conclude with a discussion of the limitations of our model, astrophysical implications, and problems to be addressed by future numerical experiments.

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Metadata

Authors
McKinney, J. C., & Gammie, C. F.
Venue
The Astrophysical Journal
Published
2004-08-20
Volume
611
Issue
2
Pages
977-995
ISSN
  • 0004-637X (ISSN-L)
  • 1538-4357
OpenAlex
W2056108960
Cited by
591
References
28
FWCI
16.54
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: A Measurement of the Electromagnetic Luminosity of a Kerr Black Hole. https://app.cochat.ai/papers/10.1086/422244
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McKinney, J. C., & Gammie, C. F. (2004). A Measurement of the Electromagnetic Luminosity of a Kerr Black Hole. The Astrophysical Journal. https://doi.org/10.1086/422244

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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