Radial charged particle trajectories in the extended Reissner-Nordstrom manifold

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Abstract
It is shown that the trajectory of a charged particle on the extended Reissner‐Nordström manifold can be such as to carry it into regions of the manifold where the definition of energy at infinity is different from the one at its point of origin. The various types of radial trajectories are classified. In the event one considers the manifold as having been produced by a collapsed star, there exist trajectories which go through both horizons, reach a minimum value of r, and go through two more horizons to a copy of the space in which it originated (flat at r = + ∞) without colliding with the matter of the collapsed star.