G-Warm inflation

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.