Classical and quantum exact solutions for a FRW in chiral like cosmology

Abstract

In this work, first, we study a flat Friedmann-Robertson-Walker Universe with two scalar fields but only one potential term, which can be thought as a simple quintessence plus a K-essence model. Employing the Hamiltonian formalism we are able to obtain the classical and quantum solutions. The second model studied, is also a flat Friedmann-Robertson-Walker Universe with two scalar fields, with the difference that the two potentials are considered as well as the standard kinetic energy and the mixed term (chiral field approach). Regarding this second model, it is shown that setting to zero the coefficient accompanying the mixed momenta term, two possible cases can be studied: a quintom like case ($m_{+}^{12}$) and a quintessence like case ($m_{-}^{12}$). For both scenarios classical and quantum solutions are presented.

arXiv comment30 pages, 14 figures, 3 tables, last version to be published in CQG journal

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• Crossing the phantom divide line as an effect of quantum transitions
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• Integrable modified gravity cosmological models with an additional scalar field
• Quintom fields from chiral K-essence cosmology
• New Anisotropic Exact Solution in Multifield Cosmology
• Quintom fields from chiral anisotropic cosmology
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• Supersymmetric higher-derivative models in quantum cosmology
• Anisotropic Spacetimes in Chiral Scalar Field Cosmology
• Towards a de Sitter quintom-like cosmology from a reduction of a 7-dimensional $BF$ theory