Gauge invariant fluctuations of the metric during inflation from new scalar-tensor Weyl-Integrable gravity model

Abstract

We investigate gauge invariant scalar fluctuations of the metric during inflation in a non-perturbative formalism in the framework of a recently introduced scalar-tensor theory of gravity formulated on a Weyl-Integrable geometry. We found that the Weyl scalar field can play the role of the inflaton field in this theory. As an application we study the case of a power law inflation. In this case the quasi-scale invariance of the spectrum for scalar fluctuations of the metric is achieved for determined values of the $\omega$ parameter of the scalar-tensor theory. In our formalism the physical inflaton field has a geometrical origin.

9 pages, no figures. This is a revised version accepted for publication in Physical Review D

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• Probing Primordial Symmetry Breaking with Cosmic Microwave Background Anisotropy
• $f(R)$ gravity with broken Weyl gauge symmetry, cosmological backreaction, and its effects on CMB anisotropy
• Canonical Structure and Hidden Symmetries in Scalar Field Cosmology