Systems of selfgravitating classical particles with a cutoff in their distribution function

We examine the relativistic and Newtonian configurations of a system of classical particles with a distribution function with a cutoff in the momentum space. These distributions are obtained as classical limit of more general quantum statistics. The characteristic physical quantities of astrophysical interest of the equilibrium configurations are given, assuming selected values of the parameters. The stability of these configurations is treated both from a global point of view of the mass-central density and mass-radius relation as well as by introducing the concept of an effective polytropic exponent. The results are compared and contrasted with the existing ones in literature.