Abstract
A new definition of a nakedly singular space-time is proposed. Conformai transformations of general, vacuum space-times are considered for conformai factors which are proper mappings into (0, ∞). A space-time generated in this manner which is null convergent on the future Cauchy development of a partial Cauchy surface is shown to be not nakedly singular relative to that surface in the sense of the chosen definition. If the conformal factor is bounded from above then the untransformed, vacuum space-time is similarly not nakedly singular. A censorship theorem for null convergent, conformally flat space-times is obtained as a corollary to the principal result.
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