Analysis of the large-scale structure of the universe

Astronomy and Astrophysics – Astronomy

Scientific paper

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Adiabatic Conditions, Cosmology, Galactic Evolution, Gravitation Theory, Perturbation Theory, Universe, Astronomical Catalogs, Astronomical Models, Density Distribution, Galactic Clusters

Scientific paper

A method of calculation of the large-scale structure of the universe based on the adiabatic theory (A-theory) of its formation is proposed. The initial spectrum of perturbation is related to some observable parameters of the structure, which are objectively defined as a set of regions enclosed by the border of constant density rho = rhoc (rhoc is a free parameter of the theory). The parameters are: (1) W is the fraction of matter within the regions of high density rho greater than rhoc; (2) L is the mean size of a region defined as the diameter of the circle circumscribed around the region; (3) D is a mean separation of dense regions taken along a straight line and (4) n is a mean number of dense regions in a unit area. Equations relate these parameters to the fundamental length which is associated with the initial spectrum. The conclusions of the theory are checked by several numerical models and are applied to observational parameters.

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