A new inflation potential with NMC to gravity in light of Planck and BICEP2 data.

In this paper we study a new inflation potential proposed in Belhaj et al. (Int J Mod Phys D 17:911-920, ), in the presence of a scalar field which interacts nonminimally with gravity. We present new constraints on the scalar spectral index $$n_{s}$$ , the tensor-to-scalar ratio $$r$$ and running of the spectral index $$\frac{dn_{s}}{ d\ln (k)}$$ from the recent data obtained by the Planck and BICEP2 experiment. The slow-roll parameters are reformulated in the case of a nonminimally coupled scalar field. We show that for parameter spaces of the models, inflation can occur at field values far below the four-dimensional Planck scale. We show also that for small and positive values of the nonminimal coupling $$\xi $$ , the observational consequences of this model are in perfect compatibility with the latest observations data especially for $$N=50$$ . [ABSTRACT FROM AUTHOR]