Maximum entropy and rotating universes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmology, Entropy, Poisson Equation, Rotating Matter, Universe, Vlasov Equations, Astronomical Models, Hubble Diagram, Maxwell Equation, Time Dependence, Velocity Distribution

Scientific paper

A generalized nonstationary Maxwellian solution to the Vlasov and Poisson equations is developed. This solution is homogeneous in temperature and density, which depend only on time. It takes account of the corpuscular nature of matter, i.e., of the macroscopic motion component of rotation. This macroscopic velocity field is found to be a superposition of Hubble's field and a nonstationary solid-body rotation with angular velocity varying as temperature. The characteristic dimension of this Newtonian system obeys a pseudo-Friedman equation previously derived by Heckman and Schucking (1958).

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