Accretion disk around the regular black holes with a nonlinear electrodynamics source

Accretion disks is crucial in studying black holes, serving as the singular source of electromagnetic radiation. The existence of singularity inherent in black holes necessitates an examination of regular cores. In this work, we study standard thin accretion disks around regular black holes (RBHs) with a nonlinear electrodynamics source. By comparing the radiant energy, luminosity derivative, and temperature of six types of RBHs with a nonlinear electrodynamics source, both among themselves and with Schwarzschild black holes, we aim to identify observable features. Our results show that the non-zero charge parameter of RBHs with a nonlinear electrodynamics source causes the radius of the innermost stable circular orbit of the accretion disk to be displaced inwards towards smaller values of r. We also obtain that the mass-to-radiant conversion efficiency for RBHs with a nonlinear electrodynamics source is higher than that of Schwarzschild black holes. Finally, we compare the free parameter of RBHs with a nonlinear electrodynamics source to the spin parameter of the Kerr black hole to extract potential observables. Our results indicate that the maximum spin that RBHs with a nonlinear electrodynamics source can mimic is approximately 0.9.