Shear-free normal cosmological models.

Mathematics – Logic

Scientific paper

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Cosmological Models

Scientific paper

Shear-free normal cosmological models are the perfect fluid solutions of Einsteińs equations in which rotation and shear vanish, and which are not static. They are either spherically, plane, or hyperbolically symmetric. Their symmetries are discussed in various coordinate systems and related to the conformal group of the three-dimensional flat space. A coordinate representation is introduced which unites all three cases into a single two-parameter family. The limiting transitions to the Friedman-Lemaitre-Robertson-Walker models and to the Schwarzschild-de Sitter-like solutions are presented.

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