A study of classical and quantum cosmology in modified teleparallel gravity and the role of Noether symmetry
Abstract The present work deals with Noether symmetry approach in a modified teleparallel gravity for classical quantum cosmological description. In the background of homogeneous and isotropic flat Friedmann–Lema $$\hat{\text{ i }}$$ i ^ tre–Robertson–Walker (FLRW) model, the Noether symmetry vector...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13812-y |
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| _version_ | 1832585457137876992 |
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| author | Dipankar Laya Shriton Hembrom Sourav Dutta Subenoy Chakraborty |
| author_facet | Dipankar Laya Shriton Hembrom Sourav Dutta Subenoy Chakraborty |
| author_sort | Dipankar Laya |
| collection | DOAJ |
| description | Abstract The present work deals with Noether symmetry approach in a modified teleparallel gravity for classical quantum cosmological description. In the background of homogeneous and isotropic flat Friedmann–Lema $$\hat{\text{ i }}$$ i ^ tre–Robertson–Walker (FLRW) model, the Noether symmetry vector with the associated conserved charge identifies a cyclic variable so that the modified Einstein field equations get simplified and becomes solvable in the present model. In quantum cosmology, the operator version of the conserved associated momentum identifies the oscillatory part of the wave function and consequently it is possible to have the complete wave as the solution of the Wheeler–DeWitt (WD) equation. Finally, it has been examined whether classical singularity can be avoided or not by quantum description. |
| format | Article |
| id | doaj-art-d8bbf757a1114474bf2ccf221bcf8d39 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-d8bbf757a1114474bf2ccf221bcf8d392025-01-26T12:49:35ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-018511710.1140/epjc/s10052-025-13812-yA study of classical and quantum cosmology in modified teleparallel gravity and the role of Noether symmetryDipankar Laya0Shriton Hembrom1Sourav Dutta2Subenoy Chakraborty3Department of Mathematics, Jadavpur UniversityDepartment of Mathematics, Jadavpur UniversityDepartment of Mathematics, Dr. Meghnad Saha CollegeDepartment of Mathematics, Brainware UniversityAbstract The present work deals with Noether symmetry approach in a modified teleparallel gravity for classical quantum cosmological description. In the background of homogeneous and isotropic flat Friedmann–Lema $$\hat{\text{ i }}$$ i ^ tre–Robertson–Walker (FLRW) model, the Noether symmetry vector with the associated conserved charge identifies a cyclic variable so that the modified Einstein field equations get simplified and becomes solvable in the present model. In quantum cosmology, the operator version of the conserved associated momentum identifies the oscillatory part of the wave function and consequently it is possible to have the complete wave as the solution of the Wheeler–DeWitt (WD) equation. Finally, it has been examined whether classical singularity can be avoided or not by quantum description.https://doi.org/10.1140/epjc/s10052-025-13812-y |
| spellingShingle | Dipankar Laya Shriton Hembrom Sourav Dutta Subenoy Chakraborty A study of classical and quantum cosmology in modified teleparallel gravity and the role of Noether symmetry European Physical Journal C: Particles and Fields |
| title | A study of classical and quantum cosmology in modified teleparallel gravity and the role of Noether symmetry |
| title_full | A study of classical and quantum cosmology in modified teleparallel gravity and the role of Noether symmetry |
| title_fullStr | A study of classical and quantum cosmology in modified teleparallel gravity and the role of Noether symmetry |
| title_full_unstemmed | A study of classical and quantum cosmology in modified teleparallel gravity and the role of Noether symmetry |
| title_short | A study of classical and quantum cosmology in modified teleparallel gravity and the role of Noether symmetry |
| title_sort | study of classical and quantum cosmology in modified teleparallel gravity and the role of noether symmetry |
| url | https://doi.org/10.1140/epjc/s10052-025-13812-y |
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