A detailed analysis of structure growth in $f(R)$ theories of gravity

Details A detailed analysis of structure growth in $f(R)$ theories of gravity A detailed analysis of structure growth in $f(R)$ theories of gravity

2008-09-22

arxiv.org/abs/0809.3673v1

Class.Quant.Grav.26:235018,2009

Astronomy and Astrophysics

Astrophysics

27 pages and 35 figures

Scientific paper

10.1088/0264-9381/26/23/235018

We investigate the connection between dark energy and fourth order gravity by analyzing the behavior of scalar perturbations around a Friedmann-Robertson-Walker background. The evolution equations for scalar perturbation are derived using the covariant and gauge invariant approach and applied to two widely studied $f(R)$ gravity models. The structure of the general fourth order perturbation equations and the analysis of scalar perturbations lead to the discovery of a characteristic signature of fourth order gravity in the matter power spectrum, the details of which have not seen before in other works in this area. This could provide a crucial test for fourth order gravity on cosmological scales.

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