Accreting Magnetofluid around a Compact Object with a Dipolar Magnetic Field - Newtonian Analysis

Astronomy and Astrophysics – Astronomy

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Scientific paper

The dynamics of a thick disc of accreting magnetofluid with finite conductivity around a compact object is presented here. For the special case of a stationary and axisymmetric disc, the Newtonian limit of the relativistic fluid equations neglecting self-gravity of the disc for a Schwarzschild metric is derived. Along with Maxwell's equations and Ohm's law, fluid equations are solved analytically and we obtain a class of solutions for different magnetic field components. The azimuthal current produced due to the motion of the magnetofluid modifies the magnetic field structure inside the disc. The self-consistent pressure profiles of the thick disc reveal that the magnetic moment associated with the central compact object is constrained by the prescribed value of density at the outer boundary and finite conductivity. For a higher value of angular momentum, the pressure profiles exhibit a turning point behaviour indicating the possible existence of instabilities in the disc configuration.

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