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We study a general scalar field Lagrangian coupled with matter and linear in $\Box\phi$ (also called KGB model).
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L. Amendola, and Polarski, D. and Tsujikawa, S., Are f(R) Dark Energy Models Cosmologically Viable?, PRL 98, 131302 (2007)
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C. Wetterich, A Universe without expansion, arXiv:1303.6878
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M. Baldi. Multiple Dark Matter as a self-regulating mechanism for dark sector interactions. Annalen Phys. 524, 602 (2012)
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Antonio De Felice and Shinji Tsujikawa. Conditions for the cosmological viability of the most general scalar-tensor theories and their applications to extended Galileon dark energy models. JCAP, 1202:007, 2012
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