# Cosmological tests of modified gravity: constraints on $F(R)$ theories from the galaxy clustering ratio

Abstract : The clustering ratio $\eta$, a large-scale structure observable originally devised to constrain the shape of the power spectrum of matter density fluctuations, is shown to provide a sensitive and model independent probe of the nature of gravity in the cosmological regime. We apply this analysis to $F(R)$ theories of gravity using the luminous red galaxy sample extracted from the Sloan Digital Sky Survey. We find that the absolute amplitude of deviations from GR, $f_{R_0 }$, is constrained to be smaller than $3 \times 10^{-6}$ at the 1$\sigma$ confidence level. This bound, improving by an order of magnitude on current constraints, makes cosmological probes of gravity competitive with Solar system tests.
Document type :
Journal articles

https://hal-cea.archives-ouvertes.fr/cea-01068693
Contributor : Emmanuelle de Laborderie <>
Submitted on : Friday, September 26, 2014 - 10:43:41 AM
Last modification on : Monday, September 23, 2019 - 6:42:10 PM

### Citation

Julien Bel, Philippe Brax, Christian Marinoni, Patrick Valageas. Cosmological tests of modified gravity: constraints on $F(R)$ theories from the galaxy clustering ratio. Physical Review D, American Physical Society, 2015, 91 (10), pp.103503. ⟨10.1103/PhysRevD.91.103503⟩. ⟨cea-01068693⟩

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