Abstract
In this paper, we study a constant-roll inflationary model in the presence of a noncommutative parameter with a homogeneous scalar field minimally coupled to gravity. The specific noncommutative inflation conditions proposed new consequences. On the other hand, we use anisotropic conditions and find new anisotropic constant-roll solutions with respect to noncommutative parameter. Also, we will plot some figures with respect to the specific values of the corresponding parameter and the swampland criteria which is raised from the exact potential obtained from the constant-roll condition. Finally, different of figures lead us to analyze the corresponding results and also show the effect of above mentioned parameter on the inflationary model.
Highlights
Can be related to space-time in relation to effects of CMB spectrum [15–22]
As we can see in figures, we investigate the rate of change of each of two dS swampland conditions (I) and (II) with respect to the two different potential values which obtained by the constant-roll condition in Eq (21) with considering different values of NC parameter
We studied a new perspective constant-roll inflation model in the presence of a NC parameter with a homogeneous scalar field minimally coupled to gravity
Summary
We briefly introduce the inflation model and apply the NC to the particular type of inflation model. Applying this form and other NC frameworks, both at the classical and quantum level in cosmological settings, provides a rational for studding very important challenges in cosmology, such as the study of UV / IR mixing It was called a means of describing physical phenomena at different distances, or in different energy regimes. We consider special of canonical non-commutativity and concentrate to the suitable deformation on classical phase space This lead us to write the following equation,. We note that if we take non-commutativity on the momenta, we will have modified scalar field and scale factor. The dynamical non-commutativity between momenta more interesting than the choice of first one It means that when we take non-commutativity between momenta the effect of θ parameter more than case of we take non-commutativity on the field and scale factor.
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