Phase-space analysis of a novel cosmological model in f(Q) theory
Abstract The vanishing affine connections have been used solely while adopting the modified f(Q) gravity theory to the cosmology. Consequently, researchers could not get beyond what is already known in f(T) theory earlier. To alleviate this problem, in the present manuscript we investigate a recentl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11722-5 |
| _version_ | 1797773970422890496 |
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| author | Hamid Shabani Avik De Tee-How Loo |
| author_facet | Hamid Shabani Avik De Tee-How Loo |
| author_sort | Hamid Shabani |
| collection | DOAJ |
| description | Abstract The vanishing affine connections have been used solely while adopting the modified f(Q) gravity theory to the cosmology. Consequently, researchers could not get beyond what is already known in f(T) theory earlier. To alleviate this problem, in the present manuscript we investigate a recently proposed construction of f(Q) theory using non-vanishing affine connection in the spatially flat FLRW spacetime. We then investigate the cosmological solutions of f(Q) theory for a perfect fluid through the phase space analysis. We introduce few variables and dimensionless parameters to construct the corresponding equations suitable for the dynamical system approach. The conservation of the energy-momentum tensor leads to a constraint equation that relates the dynamical variables. Briefly, both unstable and stable de Sitter solutions appear which correspond to early and late times accelerated expansions. Also, unstable points corresponding to the matter dominated and radiation dominated eras have been found which do exist for every f(Q) function. As a result, the present discussion shows that f(Q) gravity endowed by non-vanishing affine connections is capable of explaining a true sequence of cosmic eras. |
| first_indexed | 2024-03-12T22:14:20Z |
| format | Article |
| id | doaj.art-ad490588d2be4406952e1925c84ffea3 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-12T22:14:20Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-ad490588d2be4406952e1925c84ffea32023-07-23T11:23:53ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-06-0183611210.1140/epjc/s10052-023-11722-5Phase-space analysis of a novel cosmological model in f(Q) theoryHamid Shabani0Avik De1Tee-How Loo2Physics Department, Faculty of Sciences, University of Sistan and BaluchestanDepartment of Mathematical and Actuarial Sciences, Universiti Tunku Abdul RahmanInstitute of Mathematical Sciences, Faculty of Science, Universiti MalayaAbstract The vanishing affine connections have been used solely while adopting the modified f(Q) gravity theory to the cosmology. Consequently, researchers could not get beyond what is already known in f(T) theory earlier. To alleviate this problem, in the present manuscript we investigate a recently proposed construction of f(Q) theory using non-vanishing affine connection in the spatially flat FLRW spacetime. We then investigate the cosmological solutions of f(Q) theory for a perfect fluid through the phase space analysis. We introduce few variables and dimensionless parameters to construct the corresponding equations suitable for the dynamical system approach. The conservation of the energy-momentum tensor leads to a constraint equation that relates the dynamical variables. Briefly, both unstable and stable de Sitter solutions appear which correspond to early and late times accelerated expansions. Also, unstable points corresponding to the matter dominated and radiation dominated eras have been found which do exist for every f(Q) function. As a result, the present discussion shows that f(Q) gravity endowed by non-vanishing affine connections is capable of explaining a true sequence of cosmic eras.https://doi.org/10.1140/epjc/s10052-023-11722-5 |
| spellingShingle | Hamid Shabani Avik De Tee-How Loo Phase-space analysis of a novel cosmological model in f(Q) theory European Physical Journal C: Particles and Fields |
| title | Phase-space analysis of a novel cosmological model in f(Q) theory |
| title_full | Phase-space analysis of a novel cosmological model in f(Q) theory |
| title_fullStr | Phase-space analysis of a novel cosmological model in f(Q) theory |
| title_full_unstemmed | Phase-space analysis of a novel cosmological model in f(Q) theory |
| title_short | Phase-space analysis of a novel cosmological model in f(Q) theory |
| title_sort | phase space analysis of a novel cosmological model in f q theory |
| url | https://doi.org/10.1140/epjc/s10052-023-11722-5 |
| work_keys_str_mv | AT hamidshabani phasespaceanalysisofanovelcosmologicalmodelinfqtheory AT avikde phasespaceanalysisofanovelcosmologicalmodelinfqtheory AT teehowloo phasespaceanalysisofanovelcosmologicalmodelinfqtheory |