Accretion disc with dipole magnetic field in linearized Kerr geometry

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Neutron Stars, Relativity, Rotating Plasmas, Stellar Mass Accretion, Accretion Disks, Stellar Magnetic Fields, Stellar Rotation, Stellar Structure

Scientific paper

The equilibrium configuration of an axisymmetric, stationary plasma disk of infinite conductivity around a slowly rotating compact object is discussed. The object has only the azimuthal component of the spatial three-velocity as non-zero. It is also assumed that the plasma is infinitely conducting and that the magnetic field associated has only a non-zero poloidal component. The basic theory of accretion disks and their solutions are outlined and the solutions are applied to the case of a thin disk. The pressure profiles and the structure of magnetic field lines for corotating and counterrotating disks are obtained. It is shown that the effective potential on a single particle shows a good deal of difference between these two orbits and that the momentum balance at the boundary layer between the disk inner edge and the stellar surface behaves differently for the corotating and counterrotating disks. It is found, however, that the actual dynamics depends on combinations of several parameters such as the outer density, the surface magnetic field, the angular momentum, and the rotational velocity of the central source.

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