Completeness and singularities in some inhomogeneous cosmologies

Mathematics – Logic

Scientific paper

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Scientific paper

It is shown that the inhomogeneous generalization of the Ellis-MacCallum
family of Bianchi cosmological models of Wainwright et al. was given in
an incomplete chart. The behavior of these models on the boundary of the
chart is studied. Singularities are found in some cases and the general
completeness of the manifolds is discussed.

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