Cosmological models without singularities

Mathematics

Scientific paper

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Astronomical Models, Big Bang Cosmology, Gravitation Theory, Relativity, Universe, Cosmic Rays, Einstein Equations, Equations Of Motion, Matter (Physics), Metric Space, Red Shift, Transformations (Mathematics)

Scientific paper

A previously studied theory of gravitation in flat space-time (Petry, 1981) is applied to homogeneous and isotropic cosmological models. There exist two different classes of models without singularities: ever-expanding models, and oscillating models. The first class contains models with a hot big bang. For these models, at the beginning of the universe - in contrast to Einstein's theory - very high but finite densities of matter and radiation with a big bang of very short duration are obtained. After a short time these models pass into the homogeneous and isotropic models of Einstein's theory with spatial curvature equal zero and cosmological constant greater than or equal to 0.

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