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Cited by 295

The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.

Solar system and equivalence principle constraints onf(R)gravity by the chameleon approach

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Capozziello, Salvatore, Tsujikawa, Shinji·2008·Physical Review D
DOI 10.1103/physrevd.77.107501
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Abstract

We study constraints on $f(R)$ dark energy models from solar system experiments combined with experiments on the violation of the equivalence principle. When the mass of an equivalent scalar field degree of freedom is heavy in a region with high density, a spherically symmetric body has a thin shell so that an effective coupling of the fifth force is suppressed through a chameleon mechanism. We place experimental bounds on the cosmologically viable models recently proposed in the literature that have an asymptotic form $f(R)=R\ensuremath{-}\ensuremath{\lambda}{R}_{c}[1\ensuremath{-}({R}_{c}/R{)}^{2n}]$ in the regime $R\ensuremath{\gg}{R}_{c}$. From the solar system constraints on the post-Newtonian parameter $\ensuremath{\gamma}$, we derive the bound $n>0.5$, whereas the constraints from the violations of the weak and strong equivalence principles give the bound $n>0.9$. This allows a possibility to find the deviation from the $\ensuremath{\Lambda}$-cold dark matter ($\ensuremath{\Lambda}\mathrm{CDM}$) cosmological model. For the model $f(R)=R\ensuremath{-}\ensuremath{\lambda}{R}_{c}(R/{R}_{c}{)}^{p}$ with $0<p<1$ the severest constraint is found to be $p<{10}^{\ensuremath{-}10}$, which shows that this model is hardly distinguishable from the $\ensuremath{\Lambda}\mathrm{CDM}$ cosmology.

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Metadata

Authors
Capozziello, S., & Tsujikawa, S.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2008-05-08
Volume
77
Issue
10
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.77.107501
OpenAlex
W2024192612
Cited by
295
References
36
FWCI
16.31
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Solar system and equivalence principle constraints onf(R)gravity by the chameleon approach. https://app.cochat.ai/papers/10.1103/physrevd.77.107501
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Capozziello, S., & Tsujikawa, S. (2008). Solar system and equivalence principle constraints onf(R)gravity by the chameleon approach. Physical Review D. https://doi.org/10.1103/physrevd.77.107501

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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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