Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables

Kiyoshi Shiraishi; Kohjiroh Takimoto; Masashi Kuniyasu; Nahomi Kan

Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables

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arxiv 1903.07895 v6 pith:PMWG5EBJ submitted 2019-03-19 gr-qc hep-th

Nahomi Kan , Masashi Kuniyasu , Kiyoshi Shiraishi , Kohjiroh Takimoto This is my paper · ORCID

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keywords noncommutativeminisuperspacevariablesacceleratingcosmologydistributionnoncommutativityprobability

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We study classical and quantum noncommutative cosmology with a Liouville-type scalar degree of freedom. The noncommutativity is imposed on the minisuperspace variables through a deformation of the Poisson algebra. In this paper, we investigate the effects of noncommutativity of minisuperspace variables on the accelerating behavior of the cosmic scale factor. The probability distribution in noncommutative quantum cosmology is also studied and we propose a novel candidate for interpretation of the probability distribution in terms of noncommutative arguments.

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Equivalent Hamiltonian approach to quantum cosmology of integrable models
gr-qc 2019-08 conditional novelty 5.0 of 10

For two integrable minisuperspace cosmologies, the paper constructs equivalent Hamiltonians via Faddeev-Jackiw reduction and uses them to study quantum wave packets and Wigner functions.

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