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A Measurement of the Electromagnetic Luminosity of a Kerr Black Hole | | Jonathan C. McKinney
; Charles F. Gammie
; | | Date: |
26 Apr 2004 | | Journal: | Astrophys.J. 611 (2004) 977-995 | | Subject: | astro-ph | | Affiliation: | 1,2), Charles F. Gammie (1,2,3) ( UIUC Center for Theoretical Astrophysics, UIUC Department of Physics, UIUC Department of Astronomy | | 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 $2000 G M/c^3$, and the computational domain extends from inside the event horizon to typically $40 G M/c^2$. 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. | | Source: | arXiv, astro-ph/0404512 | | Services: | Forum | Review | PDF | Favorites | |
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