G-inflation: From the intermediate, logamediate and exponential models

TL;DR

This paper explores various G-inflation models, deriving analytical solutions under slow-roll conditions, and uses observational data to constrain model parameters, advancing understanding of inflationary cosmology.

Contribution

It introduces specific G-inflation models with power-law couplings, derives analytical solutions, and constrains parameters using recent cosmological observations.

Findings

Analytical solutions for G-inflation models under slow-roll approximation

Conditions for the realization of intermediate, logamediate, and exponential inflation

Constraints on model parameters from observational data

Abstract

The intermediate, logamediate and exponential inflationary models in the context of Galileon inflation or G-inflation are studied. By assuming a coupling of the form $G(\phi,X)\propto\phi^{\nu}\,X^{n}$ in the action, we obtain different analytical solutions from the background cosmological perturbations assuming the slow-roll approximation. General conditions required for these models of G-inflation to be realizable are determined and discussed. In general, we analyze the condition of inflation and also we use recent astronomical and cosmological observations for constraining the parameters appearing in these G-inflationary models.