Generality of inflation and constraints on scalar - tensor theories of gravity

Mathematics – Probability

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Scientific paper

The dynamics of a dilaton field and an inflaton field is studied in the FRW (flat, open, closed) models. Due to the interaction between a dilaton and an inflaton, the onset of the inflationary stage of the universe can be affected considerably even in a spatially flat universe. Under the assumption of an equal probability on the phase space, we find that the coupling parameter 0264-9381/14/10/021/img1 (defined in the text) must be 0264-9381/14/10/021/img2 if more than 0264-9381/14/10/021/img3 of the initial conditions have inflationary solutions. We also follow the subsequent evolution of the dilaton to evaluate the present PPN parameter. It turns out that the current constraint on the PPN parameter puts a further limit on the coupling 0264-9381/14/10/021/img4.

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