https://doi.org/10.1140/epjc/s10052-018-6420-x
Regular Article - Theoretical Physics
G-inflation: from the intermediate, logamediate and exponential models
1
Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Casilla 4059, Valparaiso, Chile
2
Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago, Chile
* e-mail: ramon.herrera@pucv.cl
Received:
11
June
2018
Accepted:
5
November
2018
Published online:
14
November
2018
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 
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.
© The Author(s), 2018
