Extended inflationary universes

Physics – Nuclear Physics

Scientific paper

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Scientific paper

We investigate the behavior of isotropic models in the general scalar-tensor theory of gravitation. We derive the criterion for inflation to occur in a range of such theories, including that of Brans and Dicke. The solutions used to model ``extended'' inflation in earlier investigations are shown to be special cases which do not follow the behaviour of the general Brans-Dicke model at early times. The conformal relationship between scalar-tensor theories and general relativity with a self-interacting scalar field is explored and used to find members of a new class of inflationary universes. These ``intermediate'' inflationary universes have expansion scale factors which increase as exp(tp), 0 < p < 1. The possibility of successfully of realizing the ◂old'' inflationary universe scenario in these models, with the present time variation of the gravitation ``constant'' being acceptably small, is illustrated with a specific example.

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