Abstract
We study noncommutative quantum and classical cosmology with a scalar field by means of deforming the minisuperspace. We analyze the homogeneous and isotropic model and compare our results with the usual commutative case. In particular the classical behaviour of the scalar field can dramatically change due to the presence of noncommutativity.
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We dedicate this work to Michael P. Ryan on the occasion of his sixtieth birthday. Around 30 years ago, Mike patiently introduced us to Quantum Cosmology. Since that time, we have had rich and friendly discussions and fruitful collaborations.
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Pimentel, L.O., Obregón, O. Non commuting quantum cosmology with scalar matter. Gen Relativ Gravit 38, 553–560 (2006). https://doi.org/10.1007/s10714-006-0246-9
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DOI: https://doi.org/10.1007/s10714-006-0246-9