Dynamics of Geodesics in Non-linear Electrodynamics Corrected Black Hole and Shadows of its Rotating Analogue
We study the nature of particle geodesics around a non-linear electrodynamic black hole (NLED-BH) inspired by the confinement of a heavy quark-antiquark system, which reduces to Maxwell's linear electrodynamics theory at the strong field regime. The corrected BH solution is a special generalisation of the Schwarzschild BH at the linear regime. Such a type of corrected system is parameterised by a charge parameter along with a non-linear electrodynamic term $ζ$. To be specific, we studied the geodesic behaviour of massless null particles through the geodesic equations using the backward ray-tracing method. We also investigated how NLED effects in charged BH spacetimes affect timelike particle orbits, specifically properties like precession frequency and orbital velocity around the NLED BH. Furthermore, to extend the analysis to the rotating case, we used the modified Newman-Janis algorithm to generate the rotating analogue of the NLED BH. We then analysed the ergosphere formation and shadow cast by the rotating analogue of the NLED BH.