Cosmological perturbations in generalized gravity theories: inflationary spectrum.

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Early Universe: Density Perturbations, Cosmology: Inflationary Universe

Scientific paper

The classical evolution of density perturbations, while the scale remains in the large scale limit, is clarified in the following generalized gravity theories: f(R) gravity, generalized scalar tensor theory, gravity with non-minimally coupled scalar field and induced gravity. The author uses gauge-invariant potential and field variables and shows that the result can be expressed in a similar form to a conventional result derived in Einstein gravity with a minimally coupled scalar field. The author rederives the solutions in the large scale in a simple way using the conformal transformation properties of these theories. A general prescription is given for calculating the inflationary spectrum in these gravity theories which is applicable to specific models.

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