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

Abstract

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 spacetime 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.