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Constraints on the combined models with \(R^{2-q}\) inflation and viable \(f(R)\) dark energy

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Abstract

We investigate the observational constraints on the modified gravity, which combines the \(R^{2-q}\) inflation with the power-law (exponential) type of the viable \(f(R)\) dark energy models. We discuss the difference between the combined model and \(R^{2-q}\) gravity in the inflationary epoch and obtain the constraints on the deviation power \(q\) as well as the parameters in \(f(R)\) by using the CosmoMC package. The allowed ranges of the spectral index and tensor-to-scalar ratio from the Planck data are highly restricted, resulting in \(q < 2.66 \times10^{-2}\) and \(2.17 \times10^{-2}\) for the power-law and exponential types of \(f(R)\) gravity, respectively.

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Acknowledgements

The work was supported in part by National Center for Theoretical Sciences, National Science Council (NSC-101-2112-M-007-006-MY3) and National Tsing Hua University (104N2724E1).

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Correspondence to Chao-Qiang Geng.

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Geng, CQ., Lee, CC. & Lin, S. Constraints on the combined models with \(R^{2-q}\) inflation and viable \(f(R)\) dark energy. Astrophys Space Sci 360, 21 (2015). https://doi.org/10.1007/s10509-015-2535-9

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  • DOI: https://doi.org/10.1007/s10509-015-2535-9

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