A dynamical systems approach to cosmological structure formation - Newtonian universe

Mathematics – Dynamical Systems

Scientific paper

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Cosmology, Dynamical Systems, Gravitational Effects, Jeans Theory, Perturbation Theory, Acoustic Velocity, Galactic Mass, Universe

Scientific paper

An attempt to revise Newtonian cosmology is made focusing on perturbations' asymptotic properties at t approaches infinity. It is shown that in the Newtonian 'open' universe there is a critical wave vector which distinguishes between wave and stationary perturbations. In spite of Jeans theory predictions in the environment with asymptotically positive sound velocity, all the perturbations decay with t approaches infinity.

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