Cosmological models with a time-dependent Λ term

Mathematics – Logic

Scientific paper

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Cosmology

Scientific paper

Cosmological models with a time-dependent Λ term of the form Λ1+Λ2R-m are considered for both dust and noncoherent radiation source terms. A general expression for the age of the Universe in the matter-dominated case is presented and some of its consequences are analyzed. The relevance of constraints imposed by the observed γ-ray flux, the extragalactic background light, and the gravitational lensing phenomena are briefly considered. The Landau-Lifshitz fluctuation theory, as presented by Pavon, is applied to obtain constraints on the allowable set of parameters in the radiation-dominated model.

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