Circular orbits of accretion flow around charged black hole coupled with a nonlinear electrodynamics field

Abstract This study investigates the particle’s geodesic motion and accretion around the spherically symmetric Reissner–Nordström black hole coupled with a nonlinear electrodynamics field. The formation of the disc-like structure in the accretion process arises from the geodesic motion exhibited by particles near the black hole. In the equatorial plane, we analyze the circular orbits of particles and their stability in detail. The analysis of the fluid’s critical flow, maximum accretion rate, radiant flux energy, radioactive efficiency, and radiant temperature are also examined near the central object. We analyze the perturbations experienced by particles throughout, employing restoring forces and the oscillatory behavior of the particles around the black hole. Our results show that the NED parameter $$\zeta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>ζ</mml:mi> </mml:math> affects the circular geodesics of particles and the maximum accretion rate of the Reissner–Nordström black hole coupled with nonlinear electrodynamics.