Timelike and null focusing singularities in spherical symmetry: a   solution to the cosmological horizon problem and a challenge to the cosmic   censorship hypothesis
  Extending the study of spherically symmetric metrics satisfying the dominant energy condition and exhibiting singularities of power-law type initiated in SI93, we identify two classes of peculiar interest: focusing timelike singularity solutions with the stress-energy tensor of a radiative perfect fluid (equation of state: $p={1\over 3} \rho$) and a set of null singularity classes verifying identical properties. We consider two important applications of these results: to cosmology, as regards the possibility of solving the horizon problem with no need to resort to any inflationary scenario, and to the Strong Cosmic Censorship Hypothesis to which we propose a class of physically consistent counter-examples. 
Marie-Noelle Celerier (Observatoire de Paris-Meudon), Peter Szekeres   (University of Adelaide)