Study of Noether symmetry analysis for a cosmological model with variable G and $$\Lambda $$ Λ gravity theory
Abstract In this present model we have discussed about the solution of the matter-dominated cosmological equations using the expression of $$\Lambda =\Lambda (G)$$ Λ = Λ ( G ) . Using Noether symmetry analysis we have analyzed both the classical and quantum cosmology. We have made a suitable point t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-11039-9 |
| _version_ | 1797863771003158528 |
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| author | Roshni Bhaumik Sourav Dutta Subenoy Chakraborty |
| author_facet | Roshni Bhaumik Sourav Dutta Subenoy Chakraborty |
| author_sort | Roshni Bhaumik |
| collection | DOAJ |
| description | Abstract In this present model we have discussed about the solution of the matter-dominated cosmological equations using the expression of $$\Lambda =\Lambda (G)$$ Λ = Λ ( G ) . Using Noether symmetry analysis we have analyzed both the classical and quantum cosmology. We have made a suitable point transformation in order to make one variable cyclic. As a result the evolution equations become simpler to solve. Wheeler–DeWitt (WD) equation has been constructed for this cosmological model and using conserved charge we have found the solution of WD equation. Finally the solutions have been analyzed in the cosmological point of view. |
| first_indexed | 2024-04-09T22:40:58Z |
| format | Article |
| id | doaj.art-e592ec66198448e58e530ea282109710 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-09T22:40:58Z |
| publishDate | 2022-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-e592ec66198448e58e530ea2821097102023-03-22T12:11:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-12-0182121810.1140/epjc/s10052-022-11039-9Study of Noether symmetry analysis for a cosmological model with variable G and $$\Lambda $$ Λ gravity theoryRoshni Bhaumik0Sourav Dutta1Subenoy Chakraborty2Department of Mathematics, Jadavpur UniversityDepartment of Mathematics, Dr. Meghnad Saha CollegeDepartment of Mathematics, Jadavpur UniversityAbstract In this present model we have discussed about the solution of the matter-dominated cosmological equations using the expression of $$\Lambda =\Lambda (G)$$ Λ = Λ ( G ) . Using Noether symmetry analysis we have analyzed both the classical and quantum cosmology. We have made a suitable point transformation in order to make one variable cyclic. As a result the evolution equations become simpler to solve. Wheeler–DeWitt (WD) equation has been constructed for this cosmological model and using conserved charge we have found the solution of WD equation. Finally the solutions have been analyzed in the cosmological point of view.https://doi.org/10.1140/epjc/s10052-022-11039-9 |
| spellingShingle | Roshni Bhaumik Sourav Dutta Subenoy Chakraborty Study of Noether symmetry analysis for a cosmological model with variable G and $$\Lambda $$ Λ gravity theory European Physical Journal C: Particles and Fields |
| title | Study of Noether symmetry analysis for a cosmological model with variable G and $$\Lambda $$ Λ gravity theory |
| title_full | Study of Noether symmetry analysis for a cosmological model with variable G and $$\Lambda $$ Λ gravity theory |
| title_fullStr | Study of Noether symmetry analysis for a cosmological model with variable G and $$\Lambda $$ Λ gravity theory |
| title_full_unstemmed | Study of Noether symmetry analysis for a cosmological model with variable G and $$\Lambda $$ Λ gravity theory |
| title_short | Study of Noether symmetry analysis for a cosmological model with variable G and $$\Lambda $$ Λ gravity theory |
| title_sort | study of noether symmetry analysis for a cosmological model with variable g and lambda λ gravity theory |
| url | https://doi.org/10.1140/epjc/s10052-022-11039-9 |
| work_keys_str_mv | AT roshnibhaumik studyofnoethersymmetryanalysisforacosmologicalmodelwithvariablegandlambdalgravitytheory AT souravdutta studyofnoethersymmetryanalysisforacosmologicalmodelwithvariablegandlambdalgravitytheory AT subenoychakraborty studyofnoethersymmetryanalysisforacosmologicalmodelwithvariablegandlambdalgravitytheory |