  It has previously been shown [W. Rudnicki, Phys. Lett. A 224, 45 (1996)] that
a generic gravitational collapse cannot result in a naked singularity
accompanied by closed timelike curves. An important role in this result plays
the so-called inextendibility condition, which is required to hold for certain
incomplete null geodesics. In this paper, a theorem is proved that establishes
some relations between the inextendibility condition and the rate of growth of
the Ricci curvature along incomplete null geodesics. This theorem shows that
the inextendibility condition may hold for a much more general class of
singularities than only those of the strong curvature type. It is also argued
that some earlier cosmic censorship results obtained for strong curvature
singularities can be extended to singularities corresponding to the
inextendibility condition.
