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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.

Keywords:
Spherically Symmetric Spacetimes; Reissner-Nordström Solution; Geodesics; Particles Trajectories

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