Numerical Study of Stationary Black Hole Magnetospheres-Toward Blandford-Znajek mechanism by fast rotating black holes-

Physics

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Stellar Rotation, Galactic Center, Bar, Circumnuclear Matter, And Bulge, Physics Of Black Holes, Ionosphere/Magnetosphere Interactions, Origin, Formation, Evolution, Age, And Star Formation, Accretion And Accretion Disks, Numerical Approximation And Analysis

Scientific paper

We propose a numerical scheme to solve the Grad-Shafranov equation describing the stationary, axisymmetric and force-free electromagnetic field in the black-hole spacetime. In accordance with this numerical scheme, we try to construct the Blandford-Znajek monopole solution as a test simulation. The discrepancy between the Blandford-Znajek monopole solution and our numerical solution is not so small in domain far from the black hole. This implies that the validity of the slow-rotation approximation adopted in the Blandford-Znajek monopole solution is guaranteed in the only vicinity of the black hole.

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