Geometric properties versus particle motion in the Fan-Wang spacetime

Abstract

In this work, we explore general relativistic effects and geometric properties of the Fan-Wang spacetime, one of the simplest regular solutions that can be obtained in nonlinear electrodynamics. In particular, we investigate the motion of test particles, the capture cross-section of neutral massive and massless particles, such as neutrinos and photons, and the gravitational redshift. Additionally, using a perturbative approach, we derive analytical expressions for the perihelion shift and gravitational deflection of massless particles. By identifying the one-parameter corrections to the Schwarzschild spacetime induced by the magnetic charge, we show that Fan-Wang metric predicts modifications to classical general relativity even at the local level. Moreover, we argue that these modifications could be experimentally tested with advanced observational instrumentation.