Mathematics – Differential Geometry
Scientific paper
Nov 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jmp....20.2354s&link_type=abstract
Journal of Mathematical Physics, Volume 20, Issue 11, pp. 2354-2361 (1979).
Mathematics
Differential Geometry
31
Exact Solutions, Geometry, Differential Geometry, And Topology
Scientific paper
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.
Collins Carl B.
Szafron D. A.
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