Dynamics of small precession orbit of a massive-charged particle in five-dimensional Reissner-Nordström spacetime model

Abstract

This report discusses the dynamics of the small precession orbit of a massive-charged particle by using the Reissner-Nordström metric with an additional spatial dimension. The event horizon of a massive-charged object in the 5 dimension was smaller than that in the 4 dimension. The difference in the size of the massive-charged object event horizon has implications for the spacetime region that can trap massive-charged particles in bound orbits. The space–time region in the 5 dimension was narrower than that in the 4 dimension. Based on a specific condition, we found that the small precession orbital formalism of massive-charged particles in the 5 dimension implies smaller orbital precession fluctuations than those in the 4 dimension. We applied a dynamical system approach to analyze the dynamics of related small precession motions.