General scalar-tensor theories for induced gravity inflation

Mathematics – Logic

Scientific paper

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Chaos, Cosmology, Gravitation, Mathematical Models, Galactic Evolution, Metric Space, Scalars, Tensors

Scientific paper

Some cosmological implications of a general scalar-tensor theory for induced gravity are discussed. The model exhibits a slow-rolling phase provided that the coupling function epsilon(phi) varies slowly enough such that (phi) dl(n)(epsilon)(phi)/d(phi) much less than 2 during almost the inflationary epoch. It is then shown that, as in the ordinary induced gravity inflation, the chaotic scenario is more natural than the new scenario which proves to be even not self-consistent. The results are applied, for illustration, to a scalar-tensor theory of the Barker type.

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