On the singularity problem in cosmology.

Mathematics – Logic

Scientific paper

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Cosmology: Singularities

Scientific paper

The author presents a critical analysis of the singularity problem in cosmology regarded in view of the evolution characterizing the universe near the initial "big bang". In particular, he emphasizes how the asymptotic description of a generic inhomogeneous cosmological model singles out the appearance of a turbulent-like dynamics, requiring the introduction of an appropriate statistical method to be treated. To this end he writes down the "Hopf equations" for the homogeneous Bianchi type-VIII and -IX models, considered as a test on the validity of the considered method.

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