The Effect of Negative Mass in Gravitating System<strong> </strong>

Abstract

The effect of the negative effective mass emerging in the gravitating core-spring-shell system is considered. The effect appears when the entire system is exerted to the external harmonic force and the frequency of external force approaches to the critical frequency from above. The critical frequency depends on the density of the self-gravitating system only. The scaling law predicting the value of for condensed phases is derived. The generalization of the effect for the Coulomb-like forces is reported