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Cited by 297

The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.

Matter density perturbations and effective gravitational constant in modified gravity models of dark energy

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Tsujikawa, Shinji·2007·Physical Review D
DOI 10.1103/physrevd.76.023514
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Abstract

We derive the equation of matter density perturbations on subhorizon scales for a general Lagrangian density $f(R,\ensuremath{\phi},X)$ that is a function of a Ricci scalar $R$, a scalar field $\ensuremath{\phi}$, and a kinetic term $X=\ensuremath{-}(\ensuremath{\nabla}\ensuremath{\phi}{)}^{2}/2$. This is useful to constrain modified gravity dark energy models from observations of large-scale structure and weak lensing. We obtain the solutions for the matter perturbation ${\ensuremath{\delta}}_{m}$ as well as the gravitational potential $\ensuremath{\Phi}$ for some analytically solvable models. In an $f(R)$ dark energy model with the Lagrangian density $f(R)=\ensuremath{\alpha}{R}^{1+m}\ensuremath{-}\ensuremath{\Lambda}$, the growth rates of perturbations exhibit notable differences from those in the standard Einstein gravity unless $m$ is very close to 0. In scalar-tensor models with the Lagrangian density $f=F(\ensuremath{\phi})R+2p(\ensuremath{\phi},X)$, we relate the models with coupled dark energy scenarios in the Einstein frame and reproduce the equations of perturbations known in the current literature by making a conformal transformation. We also estimate the evolution of perturbations in both Jordan and Einstein frames when the energy fraction of dark energy is constant during the matter-dominated epoch.

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Metadata

Authors
Tsujikawa, S.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2007-07-25
Volume
76
Issue
2
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.76.023514
OpenAlex
W2140074232
Cited by
297
References
13
FWCI
12.48
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Matter density perturbations and effective gravitational constant in modified gravity models of dark energy. https://app.cochat.ai/papers/10.1103/physrevd.76.023514
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Tsujikawa, S. (2007). Matter density perturbations and effective gravitational constant in modified gravity models of dark energy. Physical Review D. https://doi.org/10.1103/physrevd.76.023514

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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