Abstract
Phase space deformations on scalar field cosmology are studied. The deformation is introduced by modifying the symplectic structure of the minisuperspace variables. The effects of the deformation are studied in the “C-frame” and the “NC-frame.” In order to remove the ambiguities of working on different frames, a new principle is introduced. When we impose that both frames should be physically equivalent, we conclude that the only possibility for this model, is to have an effective cosmological constantΛeff≥0. Finally we bound the parameter space forθandβ.
Highlights
It is a common issue in cosmology to make use of scalar fields as the responsible agents of some of the most intriguing aspects of our universe
When we impose that both frames should be physically equivalent, we conclude that the only possibility for this model, is to have an effective cosmological constant Λ eff ≥ 0
We find that scalar fields are used as the inflaton which seeds the primordial perturbations for structure, as a cold dark matter candidate and as the dark energy component which seems to be driving the current accelerated expansion of the universe [5]
Summary
It is a common issue in cosmology to make use of scalar fields as the responsible agents of some of the most intriguing aspects of our universe (see [1,2,3,4] and references therein). The authors noticed that the noncommutative deformations modify the noncommutative fields They worked in cosmology, where one imposes symmetry requirements upon the infinite-dimensional space of all possible three-dimensional geometries (superspace) to reduce it to a finite-dimensional minisuperspace, and conjectured that the effects of the full noncommutative theory of gravity should be reflected in the these minisuperspace variables. The main idea of this classical noncommutativity is based on the assumption that modifying the Poisson brackets of the classical theory gives the noncommutative equations of motion [19,20,21,22,23,24,25,26] These phase space deformations give rise to two generally different interpretations known as the “C-frame” and the “NC-frame,” which in general are not physically equivalent [27].
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