Sectors of spherical homothetic collapse (Q2724794)

The author studies cosmic censorship for some solutions of Einstein's equations which admit naked singularities (generated in spherical dust collapse, spherical massless scalar field collapse and self-similar spherical collapse). The set of solutions admitting naked singularities and that admitting censored singularities are both stable in the sense that these sets contain open subsets in the space of all solutions. The author studies a portion of the critical boundary separating these sets. It is shown that such singularities can arise from regular (continuous) asymptotically flat initial data which deviate from the trivial data by an arbitrarily small amount.