Evolution of Szekeres's cosmological models

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Cosmic Dust, Cosmology, Anisotropic Media, Differential Equations, Einstein Equations, Vector Analysis

Scientific paper

The models are solutions of Einstein's equations for dust with no Killing vectors. They depend on four arbitrary functions of one variable, and generalize both the Friedmann models and those of Kantowski and Sachs (1966). The possibilities of evolution are diverse. One result is that a Friedmann open model can evolve from a variety of initial states, depending on three arbitrary functions of one variable.

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