Inflation Playing by John Lagrangian

Antonin Kanfon, Gaston Edah, Ezinvi Baloïtcha

Faculté des Sciences et Techniques, Université d’Abomey-Calavi, Cotonou, Bénin.

DOI: 10.4236/jmp.2013.48A015                

Abstract

Our goal is to reproduce inflation through the coupling between the non-minimal first derivative of the scalar field and the Einstein tensor in which we introduced a potential. We analyse the inflation by examining the equation of state, the expansion parameter and the scale factor. We have shown that when the potential is proportional to the field φ and proportional to the square of the field, inflation does not appear; but when the potential is an exponential function of the scalar field, this model brings up inflation. Inflation does not occur when the time t is near minus infinity but it is noticed a few units of Planck time.

Keywords

John Lagrangian; Inflation

Conflicts of Interest

The authors declare no conflicts of interest.

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