Deformed phase space in a two dimensional minisuperspace model

Details Deformed phase space in a two dimensional minisuperspace model Deformed phase space in a two dimensional minisuperspace model

2009-01-24

arxiv.org/abs/0901.3829v1

Class.Quant.Grav.26:065003,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1088/0264-9381/26/6/065003

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.

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