Stability of dense stellar clusters against relativistic collapse. II. Maxwellian distribution functions with different cutoff parameters

We investigate the stability of dense stellar clusters against relativistic collapse by approximate methods described in the previous paper in this series. These methods, together with the analysis of the fractional binding energy of the system, have been applied to sequences of equilibrium models, with cutoff in the distribution function, which generalize those studied by Zeldovich & Podurets. We show the existence of extreme configurations, which are stable all the way up to infinite values of the central redshift.