PERFORMING ADVANCE ON INFLATION SCENARIO DESCRIPTION THROUGH QUADRATIC TELEPARALLEL MODEL

The present paper constitutes a valuable contribution to the study of inflationary scenario through a comparison with Planck and BICEP2 observational data. Using a mathematical approach minimizing approximations in the theoretical description, the quadratic teleparallel model coupled with a scalar field yields cosmological results consistent with observational investigations. Indeed, the free parameters of the model successfully reproduce the Planck and BICEP2 values of the spectral index and the tensor to - scalar ration in the description of the inflationary scenario, leading to the following conclusions: the comoving Hubble radius decreases rapidly and approaches zero characterizing an exponential acceleration during the inflationary epoch; throughout the inflationary dynamic, the equation of state parameter remains negative, revealing quintessence link evolution, while both the parameter and the scalar field potential decrease with time. Such behavior supports a graceful exit from inflation toward the reheating phase following a period of very rapid accelerated expansion.