Non-relativistic Geodesic Behaviors for a Massive Charged Particle Falling in de Sitter Spacetime

In this article, continuing the work done in the previous paper (Fathi et al. in Int. J. Theor. Phys. 51:1938-1945, 2012), we apply a Lagrangian formalism to demonstrate the shape of the geodesic motions for a massive charged particle which is falling freely in a de Sitter spacetime. We will show that a spiral shape of the trajectory is available, due to the logarithmic behavior of time, with respect to the proper time.