Vacuum energy in cosmic dynamics

Statistics – Computation

Scientific paper

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Big Bang Cosmology, Vacuum, Computational Astrophysics, Meteoritic Composition

Scientific paper

The analysis of the Th/U ratio in meteorities and the evolutionary ages of globular clusters favour values of the cosmic age of (19±5)×109yr. This evidence together with a Hubble parameter H0 > 70 km s-1Mpc-1 = (14×109yr)-1 cannot be reconciled in a Friedmann model with Λ = 0. It requires a cosmological constant in the order of 10-56cm-2, equivalent to a vacuum density ρv = 10-29g cm-3. The Friedmann-Lemaître models (Λ > 0) with a hot big-bang have been calculated. They are based on a present value of the baryonic matter density of ρ0 = 0.5×10-30g cm-3 as derived from the primordial 4He and 2H abundances. For a Hubble parameter of H0 = 75 km s-1Mpc-1, the authors' analysis favours a set of models which can be represented by a model with Euclidean metric and by a closed model with perpetual expansion. A present density parameter close to one can indeed be expected if the conjecture of an exponential inflation of the very early universe is correct.

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