Dynamical system analysis of self-interacting three-form field cosmological model: stability and bifurcation
Abstract The present work deals with Cosmological model of a three-form field, minimally coupled to gravity and interacting with cold dark matter in the background of flat FLRW space-time. By suitable choice of the dimensionless variables, the evolution equations are converted to an autonomous syste...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09221-6 |
| _version_ | 1831629701725028352 |
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| author | Soumya Chakraborty Sudip Mishra Subenoy Chakraborty |
| author_facet | Soumya Chakraborty Sudip Mishra Subenoy Chakraborty |
| author_sort | Soumya Chakraborty |
| collection | DOAJ |
| description | Abstract The present work deals with Cosmological model of a three-form field, minimally coupled to gravity and interacting with cold dark matter in the background of flat FLRW space-time. By suitable choice of the dimensionless variables, the evolution equations are converted to an autonomous system and cosmological study is done by dynamical system analysis. The critical points are determined and the stability of the (non-hyperbolic) equilibrium points are examined by center manifold Theory. Possible bifurcation scenarios have been examined by the Poincaré index theory to identify possible cosmological phase transition. Also stabilities of the critical points have been analyzed globally using geometric features. |
| first_indexed | 2024-12-19T02:04:58Z |
| format | Article |
| id | doaj.art-c44c41856fe944bf801d1619db4defe6 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-19T02:04:58Z |
| publishDate | 2021-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-c44c41856fe944bf801d1619db4defe62022-12-21T20:40:58ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-05-0181511810.1140/epjc/s10052-021-09221-6Dynamical system analysis of self-interacting three-form field cosmological model: stability and bifurcationSoumya Chakraborty0Sudip Mishra1Subenoy Chakraborty2Department of Mathematics, Jadavpur UniversityDepartment of Mathematics, Jadavpur UniversityDepartment of Mathematics, Jadavpur UniversityAbstract The present work deals with Cosmological model of a three-form field, minimally coupled to gravity and interacting with cold dark matter in the background of flat FLRW space-time. By suitable choice of the dimensionless variables, the evolution equations are converted to an autonomous system and cosmological study is done by dynamical system analysis. The critical points are determined and the stability of the (non-hyperbolic) equilibrium points are examined by center manifold Theory. Possible bifurcation scenarios have been examined by the Poincaré index theory to identify possible cosmological phase transition. Also stabilities of the critical points have been analyzed globally using geometric features.https://doi.org/10.1140/epjc/s10052-021-09221-6 |
| spellingShingle | Soumya Chakraborty Sudip Mishra Subenoy Chakraborty Dynamical system analysis of self-interacting three-form field cosmological model: stability and bifurcation European Physical Journal C: Particles and Fields |
| title | Dynamical system analysis of self-interacting three-form field cosmological model: stability and bifurcation |
| title_full | Dynamical system analysis of self-interacting three-form field cosmological model: stability and bifurcation |
| title_fullStr | Dynamical system analysis of self-interacting three-form field cosmological model: stability and bifurcation |
| title_full_unstemmed | Dynamical system analysis of self-interacting three-form field cosmological model: stability and bifurcation |
| title_short | Dynamical system analysis of self-interacting three-form field cosmological model: stability and bifurcation |
| title_sort | dynamical system analysis of self interacting three form field cosmological model stability and bifurcation |
| url | https://doi.org/10.1140/epjc/s10052-021-09221-6 |
| work_keys_str_mv | AT soumyachakraborty dynamicalsystemanalysisofselfinteractingthreeformfieldcosmologicalmodelstabilityandbifurcation AT sudipmishra dynamicalsystemanalysisofselfinteractingthreeformfieldcosmologicalmodelstabilityandbifurcation AT subenoychakraborty dynamicalsystemanalysisofselfinteractingthreeformfieldcosmologicalmodelstabilityandbifurcation |