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D. A. Uzdensky (Kavli Inst. for Theor. Physics, UCSB)
I study the magnetosphere of a Schwarzschild black hole magnetically connected to a thin conducting Keplerian disk. I assume the magnetosphere to be ideal, stationary, axisymmetric, and force-free. I analyze carefully the two singular surfaces that are present in the system, namely, the event horizon and the inner light cylinder. Using the regularity condition at the light cylinder, I determine the poloidal electric current as a function of poloidal magnetic flux. I solve numerically the Grad--Shafranov equation, which governs the structure of the magnetosphere, for two cases: the case of a nonrotating disk and the case of a Keplerian disk. In both cases, I find the poloidal flux function on the horizon to be perfectly matched by the analytical expression for the split-monopole field with the radial magnetic field being uniform on the horizon. I then express the poloidal current as an explicit function of the flux and find a perfect agreement between this analytical expression and my numerical results.
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The author(s) of this abstract have provided an email address for comments about the abstract: uzdensky@kitp.ucsb.edu
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Bulletin of the American Astronomical Society, 35#5
© 2003. The American Astronomical Soceity.