Magnetized tori in the background of a deformed compact object

In this paper, we studied the relativistic accretion thick disc model raised by a deformed compact object up to the quadrupole moment. The goal of this work is to study the space-time and the effects of quadrupole moments via studying the properties of these equilibrium sequences of magnetized, non-self-gravitating discs in this space-time. We employed different angular momentum distributions and discussed the procedure of building this toroidal disc model based on a combination of approaches previously considered in the literature. We have shown the properties of this relativistic accretion disc model and its dependence on the initial parameters. Besides, this theoretical model can serve as the initial data for numerical simulations.