Tidal dynamics and geodesic divergence in the magnetically charged black holes spacetime

In this study, we explore the tidal effects within the spacetime of a magnetically charged black hole. Our investigation reveals that increasing the magnetic charge leads to a decrease in the radial tidal effect, contrasting with the behavior observed in the angular tidal force. Additionally, we find that the sign of the tidal force’s radial and angular components alternates between the event horizon and the Cauchy horizon. Furthermore, by solving the geodesic divergence equation for two distinct initial conditions of radially free-falling entities toward the black hole, we derive the geodesic divergence vector. These findings contribute to our understanding of the gravitational dynamics in magnetically charged black holes.