We show that the occurrence of naked singularities as the end-state of the
complete gravitational collapse of a spherical massive cloud of matter in
the General Relativistic framework is a generic feature. Collapse models
with tangential pressures are just as likely to form a naked singularity as
a black hole and the introduction of such pressures can 'undress' an
otherwise covered singularity. As an example we show how perturbing the
Oppenheimer-Snyder dust collapse model with a small tangential pressure can
lead to the formation of a naked singularity.
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