Gauge invariant perturbations of Scalar-Tensor Cosmologies: The vacuum case
Sante Carloni, Peter K. S. Dunsby, Claudio Rubano

TL;DR
This paper develops a covariant gauge-invariant perturbation theory for vacuum Scalar-Tensor cosmologies, providing exact solutions in the long wavelength limit and highlighting differences from minimally coupled models.
Contribution
It introduces a new covariant gauge-invariant framework for scalar perturbations in vacuum Scalar-Tensor cosmologies and solves the equations exactly in a specific case.
Findings
Exact solutions obtained in the long wavelength limit.
Differences identified between Scalar-Tensor and minimally coupled models.
Framework applicable to general Scalar-Tensor vacuum cosmologies.
Abstract
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.
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