The force-free magnetosphere of a black hole

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Black Holes, Classical Black Holes

Scientific paper

The magnetic field plays an essential role in extracting energy from a rotating black hole. We consider the structure of stationary axisymmetric force-free black hole magnetospheres using the ``3+1'' formalism. The structure can be characterized by three scalar functions-the stream function, the current potential and the angular velocity of the magnetic field lines. We discuss the possible analytic solutions to the equations governing those scalar functions. From one such solution that can represent the electromagnetic field configuration in the space with an accretion disk on the equatorial plane of the black hole, we estimate the amount of the electric charge induced on the streched horizon of the black hole. .

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