It is shown that spherically symmetric collapse can lead to singularities which are not hidden within "black holes".

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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.where n is the number density. For our purposes, ί; is a vastly preferable quantity to n, since v is finite (in fact, zero) at the singularity.

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