# G-Warm inflation

## TL;DR

This paper explores G-warm inflation within the Galileon model, analyzing inflationary dynamics and perturbations, and deriving observational constraints on model parameters using Planck data.

## Contribution

It introduces a formalism for G-warm inflation with a specific coupling and examines both weak and strong regimes, providing new constraints consistent with observational data.

## Key findings

- Derived constraints on model parameters during inflation
- Analyzed inflationary dynamics with exponential potential
- Compared weak and strong regime conditions

## Abstract

A warm inflationary universe in the context of Galileon model or G-model is studied. Under a general formalism we study the inflationary dynamics and the cosmological perturbations considering a coupling of the form $G(\phi,X)=g(\phi)\,X$. As a concrete example, we consider an exponential potential together with the cases in which the dissipation and Galilean coefficients are constants. Also, we study the weak regime given by the condition $R<1+3gH\dot{\phi}$, and the strong regime in which $1<R+3gH\dot{\phi}$.Additionally, we obtain constraints on the parameters during the evolution of G-warm inflation, assuming the condition for warm inflation in which the temperature $T>H$, the conditions for the weak and strong regimes, together with the consistency relation $r=r(n_s)$ from Planck data.