Inflation and the Omega-problem

Statistics – Computation

Scientific paper

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Computational Astrophysics, Cosmology, Evolution (Development), Inflating, Universe, Density Distribution, Equations Of Motion

Scientific paper

Observational estimates suggest that the cosmological density parameter Omega is 0.5 or less. According to standard Friedman models, any value of Omega unequal to one diverges away from one as the universe evolves. The cosmological Omega problem is that, on the one hand, making the present value of Omega close to but not equal to one requires an extraordinarily precise adjustment of the initial conditions of the universe, but on the other hand inflationary models, which were devised in part to avoid this fine-tuning, predict that Omega should differ from one only by an exponentially small amount. It is shown here that 'extended inflation', a recent variation in inflationary cosmology, accommodates a range of initial conditions which lead to Omega of about 0.5 or less. The parameter range is narrow, perhaps finely tuned, but nonzero.

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