Title: Description of the evolution of inhomogeneities on a Dark Matter halo with the Vlasov equation,
Abstract: We use a direct numerical integration of the Vlasov equation in spherical
symmetry with a background gravitational potential to determine the evolution
of a collection of particles in different models of a galactic halo. Such a
collection is assumed to represent a dark matter inhomogeneity which reaches a
stationary state determined by the virialization of the system. We describe
some features of the stationary states and, by using several halo models,
obtain distinctive signatures for the evolution of the inhomogeneities in each
of the models.