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arXiv · 2111.05075

Palatini $f(R)$ gravity and variants of k-/constant roll/warm inflation within variation of strong coupling scenario

M. AlHallak·A. AlRakik·N. Chamoun·M. S. El-Daher
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Abstract

We show that upon applying Palatini $f(R)$, characterized by an $\a R^2$-term, within a scenario motivated by a temporal variation of strong coupling constant, then one gets a quadratic kinetic energy. We do not drop this term, but rather study two extreme cases: $\a <<1$ and $\a >>1$. In both cases one can generate a kinematically-induced inflationary paradigm. In order to fit the Planck 2018 data, the $\a >>1$ case, called k-inflation, requires a fine tuning adjustment with non-vanishing non-minimal coupling to gravity parameter $\xi$, whereas the $\a <<1$ case, studied in the constant-roll regime, can fit the data for vanishing $\xi$. The varying strong coupling inflation scenario remains viable when implemented through a warm inflation scenario with or without $f(R)$ gravity.

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M. AlHallak, A. AlRakik, N. Chamoun, M. S. El-Daher. 2021-11-09. Palatini $f(R)$ gravity and variants of k-/constant roll/warm inflation within variation of strong coupling scenario. https://arxiv.org/abs/2111.05075

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