Averaging generalized scalar field cosmologies IV: locally rotationally symmetric Bianchi V model
Abstract This research focuses on scalar field cosmologies with a generalized harmonic potential. Our attention is centred on the anisotropic LRS Bianchi I and III metrics, Bianchi V metrics, and their isotropic limits. We provide a comprehensive overview of the first two metrics classes and offer n...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-12366-1 |
| _version_ | 1797233346283044864 |
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| author | Alfredo D. Millano Genly Leon |
| author_facet | Alfredo D. Millano Genly Leon |
| author_sort | Alfredo D. Millano |
| collection | DOAJ |
| description | Abstract This research focuses on scalar field cosmologies with a generalized harmonic potential. Our attention is centred on the anisotropic LRS Bianchi I and III metrics, Bianchi V metrics, and their isotropic limits. We provide a comprehensive overview of the first two metrics classes and offer new findings for Bianchi V metrics. We show that the Hubble parameter is a time-dependent perturbation parameter that controls the magnitude of the error between full-system and time-averaged solutions as it decreases, such that those complete and time-averaged systems have the same asymptotic behaviour. Therefore, oscillations entering the system can be controlled and smoothed out, simplifying the problem. |
| first_indexed | 2024-03-08T14:13:27Z |
| format | Article |
| id | doaj.art-b1f1ff7f934544579b4768823908a0aa |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T16:14:42Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-b1f1ff7f934544579b4768823908a0aa2024-03-31T11:33:12ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-01-0184112210.1140/epjc/s10052-023-12366-1Averaging generalized scalar field cosmologies IV: locally rotationally symmetric Bianchi V modelAlfredo D. Millano0Genly Leon1Departamento de Matemáticas, Universidad Católica del NorteDepartamento de Matemáticas, Universidad Católica del NorteAbstract This research focuses on scalar field cosmologies with a generalized harmonic potential. Our attention is centred on the anisotropic LRS Bianchi I and III metrics, Bianchi V metrics, and their isotropic limits. We provide a comprehensive overview of the first two metrics classes and offer new findings for Bianchi V metrics. We show that the Hubble parameter is a time-dependent perturbation parameter that controls the magnitude of the error between full-system and time-averaged solutions as it decreases, such that those complete and time-averaged systems have the same asymptotic behaviour. Therefore, oscillations entering the system can be controlled and smoothed out, simplifying the problem.https://doi.org/10.1140/epjc/s10052-023-12366-1 |
| spellingShingle | Alfredo D. Millano Genly Leon Averaging generalized scalar field cosmologies IV: locally rotationally symmetric Bianchi V model European Physical Journal C: Particles and Fields |
| title | Averaging generalized scalar field cosmologies IV: locally rotationally symmetric Bianchi V model |
| title_full | Averaging generalized scalar field cosmologies IV: locally rotationally symmetric Bianchi V model |
| title_fullStr | Averaging generalized scalar field cosmologies IV: locally rotationally symmetric Bianchi V model |
| title_full_unstemmed | Averaging generalized scalar field cosmologies IV: locally rotationally symmetric Bianchi V model |
| title_short | Averaging generalized scalar field cosmologies IV: locally rotationally symmetric Bianchi V model |
| title_sort | averaging generalized scalar field cosmologies iv locally rotationally symmetric bianchi v model |
| url | https://doi.org/10.1140/epjc/s10052-023-12366-1 |
| work_keys_str_mv | AT alfredodmillano averaginggeneralizedscalarfieldcosmologiesivlocallyrotationallysymmetricbianchivmodel AT genlyleon averaginggeneralizedscalarfieldcosmologiesivlocallyrotationallysymmetricbianchivmodel |