Scalar Field Cosmology from a Modified Poisson Algebra
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...
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| Format: | Article |
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MDPI AG
2022-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/1/120 |
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| author | Genly Leon Alfredo D. Millano Andronikos Paliathanasis |
| author_facet | Genly Leon Alfredo D. Millano Andronikos Paliathanasis |
| author_sort | Genly Leon |
| collection | DOAJ |
| description | 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ΛCDM</mi></semantics></math></inline-formula> model as a future attractor if we initially consider a massless scalar field without a cosmological constant term. |
| first_indexed | 2024-03-09T03:31:21Z |
| format | Article |
| id | doaj.art-467232a65f2749eca4523e67f2975f6e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T03:31:21Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-467232a65f2749eca4523e67f2975f6e2023-12-03T14:54:43ZengMDPI AGMathematics2227-73902022-12-0111112010.3390/math11010120Scalar Field Cosmology from a Modified Poisson AlgebraGenly Leon0Alfredo D. Millano1Andronikos Paliathanasis2Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla 1280, Antofagasta 1240000, ChileDepartamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla 1280, Antofagasta 1240000, ChileDepartamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla 1280, Antofagasta 1240000, ChileWe 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ΛCDM</mi></semantics></math></inline-formula> model as a future attractor if we initially consider a massless scalar field without a cosmological constant term.https://www.mdpi.com/2227-7390/11/1/120cosmologyscalar fieldmodified Poisson algebradynamical analysis |
| spellingShingle | Genly Leon Alfredo D. Millano Andronikos Paliathanasis Scalar Field Cosmology from a Modified Poisson Algebra Mathematics cosmology scalar field modified Poisson algebra dynamical analysis |
| title | Scalar Field Cosmology from a Modified Poisson Algebra |
| title_full | Scalar Field Cosmology from a Modified Poisson Algebra |
| title_fullStr | Scalar Field Cosmology from a Modified Poisson Algebra |
| title_full_unstemmed | Scalar Field Cosmology from a Modified Poisson Algebra |
| title_short | Scalar Field Cosmology from a Modified Poisson Algebra |
| title_sort | scalar field cosmology from a modified poisson algebra |
| topic | cosmology scalar field modified Poisson algebra dynamical analysis |
| url | https://www.mdpi.com/2227-7390/11/1/120 |
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