Gauge invariant perturbations of Scalar-Tensor Cosmologies: The vacuum case

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The covariant gauge invariant perturbation theory of scalar cosmological perturbations is developed for a general Scalar-Tensor Friedmann-Lemaitre-Robertson-Walker cosmology in a vacuum. The perturbation equations are then solved exactly in the long wavelength limit for a specific coupling, potential and background. Differences with the minimally coupled case are briefly discussed.
19 pages, 3 figures, accepted for publication on PRD

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