Dynamics of particles surrounding a stationary, spherically-symmetric black hole with Nonlinear Electrodynamics

We study the dynamics of both timelike and lightlike particles in the vicinity of a stationary, spherically symmetric black hole governed by nonlinear electrodynamics (NED). The spacetime is modeled using an exact solution to Einstein’s field equations modified by a NED Lagrangian, which incorporates the influence of the black hole charge and NED parameter $\zeta$. We derive the geodesic equations for test particles and photons, investigating their orbital motion, deflection angles, and photon sphere radii under the influence of NED. We also examine the stability of circular orbits for both charged and neutral particles and compute effective potentials for varying angular momentum and NED parameters. Our results generalize well-known black hole solutions, such as the Reissner-Nordström black hole, to include NED corrections, providing a richer understanding of particle behavior in strong gravitational fields. These findings have potential applications in black hole astrophysics and may offer insights into the nature of dark matter, quark confinement, and axions.