Solutions of the `STREAM Equation' in the Black Hole Magnetosphere

Details Solutions of the `STREAM Equation' in the Black Hole Magnetosphere Solutions of the `STREAM Equation' in the Black Hole Magnetosphere

Feb 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005tmgm.meet...70l&link_type=abstract

The Tenth Marcel Grossmann Meeting. Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF), Rio

Physics

Scientific paper

The electromagnetic structure of the stationary axisymmetric force-free magnetosphere around a black hole is characterized by the stream function Ψ, the current potential I, and the angular velocity of the magnetic field lines ΩF. These functions are governed by the `stream equation'. Possible solutions of the `stream equation' are studied in this work. Starting from some solutions known in the limit of vanishing ΩF and I, we investigate modifications of these solutions which can lead to solutions in the general case of nonzero ΩF and I. Assuming small values of ΩF and I, we solve the `stream equation' perturbatively to obtain asymptotic forms of such solutions in the large-r region in one case and in the region near the event horizon in another.

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