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Observational tests of Galileon gravity with growth rate

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Abstract

We compare observational data of growth rate with the prediction by Galileon theory. For the same value of the energy density parameter \(\varOmega _{m,0}\), the growth rate in Galileon models is enhanced compared with the \(\varLambda \)CDM case, due to the enhancement of Newton’s constant. The smaller \(\varOmega _{m,0}\) is, the more suppressed growth rate is. Hence the best fit value of \(\varOmega _{m,0}\) in the Galileon model is 0.16 from only the growth rate data, which is considerably smaller than such value obtained from observations of supernovae Ia, the cosmic microwave background and baryon acoustic oscillations. We also find the upper limit of the Brans–Dicke parameter to be \(\omega < -\)1000 (\(1\sigma \)), from the growth rate data. In this paper, specific galileon models are considered, not the entire class. More and better growth rate data are required to distinguish between dark energy and modified gravity.

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Notes

  1. For example, models [19, 20, 26] do no have this “Galilean” symmetry, as well as the model studied in this paper. But it is still possible to keep its desired properties. The equation of motion for the scalar field can remain of second order, which prevents the theory from having additional degrees of freedom. However, the single degree of freedom \(\phi \) can still be a ghost, or can still have a ghosty perturbations around some background. Nevertheless, we use the name in this paper because no other name is as good as “Galileon”.

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Acknowledgments

This work was supported by a Grant-in-Aid for Scientific Research from the Japan Society for the Promotion of Science [Grant No. 25400264 (KH)].

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Authors and Affiliations

  1. Department of Primary Education, Tsuru University, 3-8-1, Tahara, Tsuru, Yamanashi, 402-8555, Japan

    Koichi Hirano

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  1. Koichi Hirano
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Correspondence to Koichi Hirano.

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Hirano, K. Observational tests of Galileon gravity with growth rate. Gen Relativ Gravit 48, 138 (2016). https://doi.org/10.1007/s10714-016-2129-z

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