We investigate the stability of general-relativistic boson stars by classifying singularities of differential mappings and compare our results with those of perturbation theory. Depending on the particle number, the star has the following regimes of behavior: stable, metastable, pulsation, and collapse.

• Received 29 May 1990

DOI:https://doi.org/10.1103/PhysRevD.43.3895