  We discuss a cosmological solution of the system which was originally
introduced by Calogero and is today popularly known as "Nordstrom-Vlasov
system". Although the model is un-physical, its cosmological solution results
interesting for the same reasons for which the Nordstrom-Vlasov system was
originally introduced in the framework of galactic dynamics. In fact, it
represents a theoretical laboratory where one can rigorously study some
problems, like the importance of the gravitational waves in the dynamics, which
at the present time are not well understood within the physical model of the
Einstein-Vlasov system. As the cosmology of the Nordstrom-Vlasov system is
founded on a scalar field, a better understanding of the system is important
also in the framework of the Dark Energy problem. In fact, various attempts to
achieve Dark Energy by using scalar fields are present in the literature. In
the solution an analytical expression for the time dependence of the
cosmological evolution of the Nordstrom's scalar field is also released.This
analytical expression is unknown in the literature of the Nordstrom-Vlasov
system. Based on their importance, the propagation of gravitational waves in
the Nordstrom-Vlasov system and their effects on test masses are also
discussed.
