On the occurrence of naked singularities in general relativity. II

It is shown that naked shell crossing singularities can occur in the gravitational collapse of a spherically symmetric ball of perfect fluid for a large family of equations of state in which the pressure has an (arbitrarily large) upper bound, and, moreover, that this behaviour is stable with respect to spherically symmetric perturbations of the initial data, as well as with respect to perturbations of the equation of state.Work supported by the Deutsche Forschungsgemeinschaft.