Abstract
In this paper, we analyze a simple class of Horndeski scalar-tensor theory. We investigate several cosmological solutions for inflation, bounce scenario and finite future-time singularities. Perturbations respect to Friedmann-Robertson-Walker metric are studied and discussed in the context of inflation.
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Notes
If we reintroduce the Planck Mass, the dimension of \(\alpha,\gamma\) results to be \([\alpha]=[\gamma]=[M_{\mathit{Pl}}^{-4}]\).
For a comparison, put \(K(\phi, X)=X-V(\phi)\), \(G_{3}=\beta\phi\), \(G_{4}=\alpha X\), \(G_{5}=\gamma\phi\) with \(X=\dot{\phi}^{2}/2\).
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Myrzakulov, R., Sebastiani, L. Scalar tensor Horndeski models: simple cosmological applications. Astrophys Space Sci 361, 62 (2016). https://doi.org/10.1007/s10509-015-2646-3
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DOI: https://doi.org/10.1007/s10509-015-2646-3