A Measurement of the Electromagnetic Luminosity of a Kerr Black Hole

• Published in: The Astrophysical journal 2004-08, Vol.611 (2), p.977-995
• Main Authors: McKinney, Jonathan C, Gammie, Charles F
• Format: Article
• Language: English
• Subjects: Astronomy; Black holes; Earth, ocean, space; Exact sciences and technology; Fundamental aspects of astrophysics; Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations; Late stages of stellar evolution (including black holes); Relativity and gravitation; Stars
• ISSN: 0004-637X; 1538-4357
• DOI: 10.1086/422244

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 2000GM/c super(3), and the computational domain extends from inside the event horizon to typically 40GM/c super(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.