The impact of deformed space—space parameters into canonical scalar field model with exponential potential. The case of spatially flat Friedmann—Lemaître—Robertson—Walker (FLRW) universe

Abstract

In this work, we propose a model of noncommutative cosmology through the deformation of minisuperspace. We focus on an exponentially potential with a homogeneous scalar field minimally coupled to gravity in the spatially flat universe. To process, we use a particular case of noncommutativity by making a deformation of space coordinates only. Then, we compare results in both the commutative model and the noncommutative one.