Regular magnetically charged black holes from nonlinear electrodynamics: Thermodynamics, light deflection, and orbital dynamics

Abstract

We investigate the thermodynamic properties, light deflection, and orbital dynamics of regular magnetically charged black holes (NRCBHs) arising from nonlinear electrodynamics (NED) coupled to general relativity. The metric function f(r) ensures complete regularity at the origin while maintaining asymptotic flatness, with the extremal magnetic charge limit reaching q(ext) approximate to 2.54M, significantly exceeding the Reissner-Nordstrom (RN) value. Using the quantum tunneling framework, we derive the Hawking temperature and incorporate generalized uncertainty principle (GUP) corrections, showing T-GUP = (f'(r(h))/4 pi)root 1 - 2 beta m(p)(2). The weak deflection of light is analyzed through the Gauss-Bonnet theorem (GBT), revealing charge-dependent behavior where large q values lead to negative deflection angles due to electromagnetic repulsion. Plasma effects further modify the deflection through the refractive index n(r) = root 1 - omega(2)(p)(r)f(r)/omega(2)(0). Keplerian motion analysis demonstrates that the angular velocity Omega(r) exhibits charge-sensitive maxima related to quasi-periodic oscillations (QPOs) in accretion disks. Finally, we examine Joule-Thomson expansion (JTE) properties, finding that the coefficient mu(J) indicates cooling behavior for higher charges and larger event horizons. Our findings offer detailed understanding of the observational markers of NRCBHs.