Stability and singularity analysis of the cosmologies with different scenarios for deceleration parameter in the presence of torsion
In the current paper, path deviation equations in absolutely parametric parallel geometries are derived. It is considered as a geodesic deviation equation. Additionally, it is modified by a torsion term. It proposes the deviation path equation that describes the trajectory deviation of a particle un...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023028700 |
| _version_ | 1797815620432035840 |
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| author | M.A. Bakry A. Eid |
| author_facet | M.A. Bakry A. Eid |
| author_sort | M.A. Bakry |
| collection | DOAJ |
| description | In the current paper, path deviation equations in absolutely parametric parallel geometries are derived. It is considered as a geodesic deviation equation. Additionally, it is modified by a torsion term. It proposes the deviation path equation that describes the trajectory deviation of a particle under the influence of the gravitational field. To examine the singularity of the Cosmological models, the modified version of the Raychaudhuri equation is utilized. The generalized law of the variation of Hubble's parameter is utilized to achieve some Cosmological models. |
| first_indexed | 2024-03-13T08:25:33Z |
| format | Article |
| id | doaj.art-27e660b73e11452f9f96f3de0365c4f7 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-13T08:25:33Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-27e660b73e11452f9f96f3de0365c4f72023-05-31T04:45:05ZengElsevierHeliyon2405-84402023-05-0195e15663Stability and singularity analysis of the cosmologies with different scenarios for deceleration parameter in the presence of torsionM.A. Bakry0A. Eid1Mathematics Department, Faculty of Education, Ain Shams University, Cairo, Egypt; Corresponding author.Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Kingdom of Saudi Arabia; Department of Astronomy, Faculty of Science, Cairo University, Giza, EgyptIn the current paper, path deviation equations in absolutely parametric parallel geometries are derived. It is considered as a geodesic deviation equation. Additionally, it is modified by a torsion term. It proposes the deviation path equation that describes the trajectory deviation of a particle under the influence of the gravitational field. To examine the singularity of the Cosmological models, the modified version of the Raychaudhuri equation is utilized. The generalized law of the variation of Hubble's parameter is utilized to achieve some Cosmological models.http://www.sciencedirect.com/science/article/pii/S2405844023028700Parameterized absolute parallelism geometryPath deviation equationTorsion effectStabilitySingularityCosmological models |
| spellingShingle | M.A. Bakry A. Eid Stability and singularity analysis of the cosmologies with different scenarios for deceleration parameter in the presence of torsion Heliyon Parameterized absolute parallelism geometry Path deviation equation Torsion effect Stability Singularity Cosmological models |
| title | Stability and singularity analysis of the cosmologies with different scenarios for deceleration parameter in the presence of torsion |
| title_full | Stability and singularity analysis of the cosmologies with different scenarios for deceleration parameter in the presence of torsion |
| title_fullStr | Stability and singularity analysis of the cosmologies with different scenarios for deceleration parameter in the presence of torsion |
| title_full_unstemmed | Stability and singularity analysis of the cosmologies with different scenarios for deceleration parameter in the presence of torsion |
| title_short | Stability and singularity analysis of the cosmologies with different scenarios for deceleration parameter in the presence of torsion |
| title_sort | stability and singularity analysis of the cosmologies with different scenarios for deceleration parameter in the presence of torsion |
| topic | Parameterized absolute parallelism geometry Path deviation equation Torsion effect Stability Singularity Cosmological models |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023028700 |
| work_keys_str_mv | AT mabakry stabilityandsingularityanalysisofthecosmologieswithdifferentscenariosfordecelerationparameterinthepresenceoftorsion AT aeid stabilityandsingularityanalysisofthecosmologieswithdifferentscenariosfordecelerationparameterinthepresenceoftorsion |