Covariant gauge invariant theory of Scalar Perturbations in $f(R)$-gravity: a brief review

Abstract

I review the state of the art of the investigation on the structure formation in $f(R)$-gravity based on the Covariant and Gauge Invariant approach to perturbations. A critical analysis of the results, in particular the presence of characteristic signature of these models, together with their meaning and their implication is given.

23 pages, 12 figures, to appear on The Open Astronomy Journal

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Cited by in corpus (4)

• Scalar perturbations in $f(T)$ gravity using the $1+3$ covariant approach
• R^n gravity and the chameleon
• The dynamics of Bianchi I universes in $R^n$ cosmologies with torsion
• Density perturbation and cosmological evolution in the presence of magnetic field in $f(R)$ gravity models