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Scalar Field Cosmology from a Modified Poisson Algebra

Author

Listed:
  • Genly Leon

    (Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla 1280, Antofagasta 1240000, Chile
    Institute of Systems Science, Durban University of Technology, Durban 4000, South Africa)

  • Alfredo D. Millano

    (Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla 1280, Antofagasta 1240000, Chile)

  • Andronikos Paliathanasis

    (Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla 1280, Antofagasta 1240000, Chile
    Institute of Systems Science, Durban University of Technology, Durban 4000, South Africa)

Abstract

We investigate the phase space of a scalar field theory obtained by minisuperspace deformation. We consider quintessence or phantom scalar fields in the action that arises from minisuperspace deformation on the Einstein–Hilbert action. We use a modified Poisson algebra where Poisson brackets are the α -deformed ones and are related to the Moyal–Weyl star product. We discuss early- and late-time attractors and reconstruct the cosmological evolution. We show that the model can have the ΛCDM model as a future attractor if we initially consider a massless scalar field without a cosmological constant term.

Suggested Citation

  • Genly Leon & Alfredo D. Millano & Andronikos Paliathanasis, 2022. "Scalar Field Cosmology from a Modified Poisson Algebra," Mathematics, MDPI, vol. 11(1), pages 1-19, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:120-:d:1016908
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