Friedmann-like singularities in Szekeres' cosmological models

The existence is established of Friedmann-like singularities in a subclass of the Szekeres cosmological models which admits no Killing vector fields, and which depends on three arbitrary functions of a single variable. The asymptotic properties of the solutions are described as the singularity is approached, for example the behaviour of the matter density, the rate of shear of the matter, and the Weyl conformal curvature tensor. The solutions are formulated in a way which permits comparison with linear perturbations of the Einstein-de Sitter solution. (author)