The Inflationary Dynamics with the Scalar-Tensor Model

TL;DR

This paper explores cosmic inflation using a scalar-tensor model with non-minimal kinetic couplings, deriving predictions for key observables and comparing them with Planck data to assess model viability.

Contribution

It introduces a scalar-tensor inflationary model with scalar-dependent kinetic couplings and analyzes its observational predictions and parameter constraints.

Findings

Predicted spectral index $n_s$ consistent with Planck data

Scalar-to-tensor ratio $r$ within observational bounds

Parameter sensitivities identified for key inflationary observables

Abstract

We investigate the cosmic inflation within a class of the scalar-tensor model with the scalar-dependent non-minimal kinetic couplings. The inflationary dynamical potential will be applied. Using the slow-roll approximation, we compute theoretical predictions for the key observables, like the spectral indexes $n_s$, scalar-to-tensor ratio $r$ and the running of the scalar spectral index $\alpha_s$ in terms of the free parameters of the model. Besides, we find the limitations of these parameters. In addition, these quantities will be compared with the latest observational data from the Planck data. Furthermore, we analyze the sensitivity of $r$, $n_s$ and $\alpha_s$ in terms of the model's free parameters.