A new approach to inhomogeneous cosmologies: Intrinsic symmetries. II. Conformally flat slices and an invariant classification

Publisher Website
Google Scholar
Abstract
We continue our analysis of space–times with intrinsic symmetries, by specializing to the case where the matter moves orthogonally to a family of conformally flat hypersurfaces. In so doing, we obtain a characterization of the Szekeres inhomogeneous cosmological models as being those (perfect fluid) solutions of Einstein’s equations with conformally flat comoving slices whose second fundamental form and Ricci tensor possess two equal eigenvalues. An invariant characterization of these models is thereby obtained, and they are then classified in an invariant way.

This publication has 9 references indexed in Scilit: