Models of the universe compatible with present observations

Physics

Scientific paper

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Astronomical Models, Cosmology, Universe, Hubble Constant, Mathematical Models, Matter (Physics)

Scientific paper

It is shown that cosmic radiation almost follows a Planck distribution, because just as matter is formed, its density of energy is negligible in comparison with that of radiation, and that the present age of the universe does not depend on the particular manner in which the matter is formed. Thus, if the results of the latest observations (which imply a deceleration parameter of 1.6) are combined with the assumption that the present age of the universe is at least 12 x 10 to the 9th yr, they lead to a hyperbolic oscillating universe with a negative cosmological constant and a present mass-density of less than 1.2 x 10 to the -30th g/cu cm. If the cosmological constant is taken to be zero, a solution is only possible with a rate of evolution of galaxies with a deceleration parameter less than 0.52. Three types of oscillating universe are then possible, but the hyperbolic type is the most probable. If Hubble's constant is greater than 63.4 km/sec/Mpc, the solutions are only hyperbolic universes with negative cosmological constant less than plus 0.45 x 10 to the -56th/sq cm and mass density less than 4.8 x 10 to the -30th g/cu cm.

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