COSMIC CENSORSHIP FOR SOME SPATIALLY HOMOGENEOUS COSMOLOGICAL MODELS

The global properties of spatially homogeneous cosmological models wit h collisionless matter are studied. It is shown that as long as the me an curvature of the hypersurfaces of homogeneity remains finite no sin gularity can occur in finite proper time as measured by observers whos e worldlines are orthogonal to these hypersurfaces. Strong cosmic cens orship is then proved for the Bianchi I, Bianchi IX, and Kantowski-Sac hs symmetry classes. (C) 1994 Academic Press, Inc.