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We use a direct numerical integration of the Vlasov equation in sphericalsymmetry with a background gravitational potential to determine the evolutionof a collection of particles in different models of a galactic halo. Such acollection is assumed to represent a dark matter inhomogeneity which reaches astationary state determined by the virialization of the system. We describesome features of the stationary states and, by using several halo models,obtain distinctive signatures for the evolution of the inhomogeneities in eachof the models.

Description of the evolution of inhomogeneities on a Dark Matter halo with the Vlasov equation