Deformed phase space in a two dimensional minisuperspace model

Abstract

We study the effects of noncommutativity and deformed Heisenberg algebra on the evolution of a two dimensional minisuperspace cosmological model in classical and quantum regimes. The phase space variables turn out to correspond to the scale factor of a flat FRW model with a positive cosmological constant and a dilatonic field with which the action of the model is augmented. The exact classical and quantum solutions in commutative and noncommutative cases are presented. We also obtain some approximate analytical solutions for the corresponding classical and quantum cosmology in the presence of the deformed Heisenberg relations between the phase space variables, in the limit where the minisuperspace variables are small. These results are compared with the standard commutative and noncommutative cases and similarities and differences of these solutions are discussed.

20 pages, 7 figures + 4 contourplots, to appear in CQG

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Cited by in corpus (12)

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• Can noncommutative effects account for the present speed up of the cosmic expansion?
• Generalized uncertainty principle and the conformally coupled scalar field quantum cosmology
• The minimal length and the Shannon entropic uncertainty relation
• Multi-Dimensional Cosmology and GUP
• Scalar field in the Bianchi I: Non commutative classical and Quantum Cosmology
• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
• Multi-Dimensional Cosmology and DSR-GUP
• Two-oscillator Kantowski-Sachs model of the Schwarzschild black hole interior
• Signature Change by GUP
• Signature Change in Noncommutative FRW Cosmology
• Bianchi type I cyclic cosmology from Lie-algebraically deformed phase space