  Jacobson and Sotiriou showed that rotating black holes could be spun-up past
the extremal limit by the capture of non-spinning test bodies, if one neglects
radiative and self-force effects. This would represent a violation of the
Cosmic Censorship Conjecture in four-dimensional, asymptotically flat
spacetimes. We show that for some of the trajectories giving rise to naked
singularities, radiative effects can be neglected. However, for these orbits
the conservative self-force is important, and seems to have the right sign to
prevent the formation of naked singularities.
