Description
Observations coming from the astrophysical data indicate that we live in a expanding
universe where its evolution is dominated by a small positive cosmological constant.
Mathematically this model can be explained by the de Sitter space-time. In this work we
study a freely falling massive charged particle in de Sitter space-time. However due to
the effect of the charge and mass the particle exceeds from its geodesic. In this paper we
want to consider these effects on the geodesic motion.