Static limit analysis of a nonlinear electromagnetic generalization of the Kerr-Newman black hole

In this work, we investigate the gravitational signatures of a static nonlinear electromagnetic extension of the Kerr-Newman solution. We conduct an analysis of light propagation, focusing on the photon sphere, shadow formation, and geodesic trajectories in this spacetime. The deflection angle and the time delay effects are also considered. In the thermodynamic analysis, we examine the Hawking temperature, entropy, heat capacity, and the emission of Hawking radiation via the tunneling process. The remnant mass and evaporation time of the black hole at its final stage are estimated. Lastly, we calculate the quasinormal modes using the WKB approximation to capture the characteristic oscillations of the system.
Comment: 35 pages, 11 figures, and 9 tables