Constant Roll Inflationary Dynamics with Generalized Potentials in $f(R,ϕ,X)$ Gravity
In this work, we study early-time inflation within a class of $f(R, ϕ, X)$ gravity models under a constant-roll condition. Employing a generalized potential of the form $V(ϕ)^σ$, we derive expressions for the spectral index $n_s$ and tensor-to-scalar ratio $r$, demonstrating that the inflationary dynamics are primarily governed by the parameter $σ$ and the shape of the potential. At the upper limit of $n_s$, we obtain a de Sitter-like phase, while at the lower limit, the model transitions t…
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