Perihelion Advance and Trajectory of Charged Test Particles in Reissner-Nordstrom Field via the Higher-Order Geodesic Deviations

Abstract EN

By using the higher-order geodesic deviation equations for charged particles, we apply the method described by Kerner et.al.

to calculate the perihelion advance and trajectory of charged test particles in the Reissner-Nordstrom space-time.

The effect of charge on the perihelion advance is studied and we compared the results with those obtained earlier via the perturbation method.

The advantage of this approximation method is to provide a way to calculate the perihelion advance and orbit of planets in the vicinity of massive and compact objects without considering Newtonian and post-Newtonian approximations.