A Study of thin relativistic magnetic accretion disk around a distorted black hole

Accretion disks, swirling structures of matter spiraling into black holes, play a pivotal role in our understanding of binary star systems and their intricate evolutionary processes. While current models often simplify these complex phenomena by neglecting the influence of powerful magnetic fields, particularly within warped or distorted black hole geometries, this study delves into the crucial impact of such fields. Focusing on a thin accretion disk encircling a Schwarzschild black hole, we meticulously investigate how the presence of a quadrupole moment, an inherent distortion in the black hole's shape, affects its spectral characteristics. By analyzing key parameters like total pressure, magnetic pressure, temperature, height scale, surface density, and radiative flux (the energy emitted by the disk) we reveal significant alterations induced by incorporating both magnetic fields and a quadrupole moment. Notably, our findings demonstrate that negative quadrupoles exert a more pronounced influence on these disk properties, highlighting the intricate interplay between these factors. This comprehensive study provides invaluable insights into the dynamics of accretion disks surrounding distorted black holes with magnetic fields, paving the way for a more accurate and nuanced understanding of these fascinating astrophysical systems.