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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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

Scientific paper

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.

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