Test-particles motion in Reissner-Nordström spacetime

Abstract

Test-particles motion can be analyzed using the tools of the Theory of General Relativity. Some classical verifications of this theory involve test-particles trajectories in the spherically symmetric spacetime associated to the Schwarzschild solution. Another spacetime with this symmetry is the one described by the Reissner-Nordström solution, associated to a spherical distribution of mass and electric charge as, for instance, a charged black hole. In this spacetime, we analyze the motion of free particles, which follow geodesics, and of particles with electric charge, which, therefore, interact electrically with the central object.