Omega < 1 Polar Inflation Driven by Negative Gravity

Astronomy and Astrophysics – Astronomy

Scientific paper

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Polar Inflation, Higher Dimensional Gravity, Negative Gravity, Omega Problem

Scientific paper

We discuss a model 4-dimensional Friedmann cosmology which may have evolved from a model of 4+D dimensional which admits spontaneous compactification of D dimensions (or N-dimensional variants of the Brans-Dicke (BD) theory). The BD parameter appearing in dimensional reduction is negative -1 < omega < 0 (for the N-dimensional variants of the BD theory, -1.5 <= omega). We find that if there had been inflationary transition to the standard big-bang model, the Universe can undergo a polar-type expansion during when the gravitational coupling becomes negative. The unique feature is that for the negative omega, the density parameter of the post-inflationary Universe falls in a range 0 < Omega < 1 even if the Universe is geometrically flat (k = 0).

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