Ω < 1 polar inflation in a Kaluza-Klein cosmology.

Mathematics – Logic

Scientific paper

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Kaluza-Klein Theory: Cosmological Models

Scientific paper

The author discusses a model 4-dimensional Friedmann cosmology which may have evolved from a model of a (4+D)-dimensional Kaluza-Klein (KK) universe. After compactification of extra dimensions, the 4-dimensional BD parameter appearing in the dimensional reduction is negative. The author found that if there had been an inflationary transition, the matter-dilaton coupling quickly became exponentially small. Then the universe undergoes a polar-type superluminal expansion, and the density parameter of the post-inflationary universe becomes a discrete quantity. In particular, for the universe compactified from 9 dimensions (D = 5), it is shown that Ωtotal = 0.26 even if the universe is geometrically flat (k = 0).

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