Force-Free Magnetosphere of an Accreting Black Hole

Details Force-Free Magnetosphere of an Accreting Black Hole Force-Free Magnetosphere of an Accreting Black Hole

Dec 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003aas...203.8112u&link_type=abstract

American Astronomical Society Meeting 203, #81.12; Bulletin of the American Astronomical Society, Vol. 35, p.1333

Astronomy and Astrophysics

Astronomy

Scientific paper

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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