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

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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 (m12+) and a quintessence like case (m12-). For both scenarios classical and quantum solutions are presented.

Original languageEnglish
Article number135027
JournalClassical and Quantum Gravity
Volume38
Issue number13
DOIs
StatePublished - Jul 2021

Keywords

  • Chiral cosmology
  • Classical and quantum cosmology
  • Exact solutions

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