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

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

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.

citation-role summary

background 1

citation-polarity summary

fields

astro-ph.CO 2

years

2026 1 2011 1

verdicts

UNVERDICTED 2

roles

background 1

polarities

background 1

representative citing papers

Modified Gravity and Cosmology

astro-ph.CO · 2011-06-13 · unverdicted · novelty 2.0

A comprehensive review of modified gravity theories and their cosmological consequences, including a parameterized post-Friedmannian formalism for constraining deviations from General Relativity.

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Showing 2 of 2 citing papers.

  • Constraining Scale-Dependent Growth in $f(R)$ Gravity with Future 21 cm Surveys astro-ph.CO · 2026-06-02 · unverdicted · none · ref 157 · internal anchor

    Forecasts show that future 21 cm surveys can deliver moderate constraints on the scale-dependent growth index and HI bias in viable f(R) models.

  • Modified Gravity and Cosmology astro-ph.CO · 2011-06-13 · unverdicted · none · ref 46

    A comprehensive review of modified gravity theories and their cosmological consequences, including a parameterized post-Friedmannian formalism for constraining deviations from General Relativity.