Energy and angular momentum transport in magnetohydrodynamical accretion onto a rotating black hole

Astronomy and Astrophysics – Astronomy

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Active Galactic Nuclei, Angular Momentum, Black Holes (Astronomy), Magnetohydrodynamic Flow, Mass Transfer, Rotating Fluids, Energy Transfer, Interstellar Magnetic Fields, Space-Time Functions

Scientific paper

The rotating effects of a black hole on magnetohydrodynamical (MHD) accretion have been studied. The dynamical evolution of MHD accretion in Kerr space-time was numerically calculated. A new calculation method is proposed, in which the fluid dynamics is solved in a frame with a star-fixed coordinate, and the magnetic field is calculated in the locally non-rotating frame. We set the initial conditions of MHD accretion so that the magnetic field and fluid are homogeneous around a black hole and the fluid is static. We studied the inertia-dominant case, i.e., the magnetic stress is weak compared with the inertia of the fluid. The transfer laws of the energy and angular momentum were investigated. MHD interaction in rotating space-time produces angular momenta in the opposite direction, i.e., the direction of the angular momentum of the magnetic field is a counter rotating against a hole's spin, while the fluid rotates in the same direction as a hole. The space-time rotation decreases the energy-at-infinity for a magnetic field and increases the energy-at-infinity for a fluid. A rapidly rotating black hole produces a negative energy region for a magnetic field near to the horizon. The functional relations of the angular momentum of the black hole, the strength of magnetic field, and the density of the fluid on the magnitudes of the transports are given.

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