Dynamical System Analysis of Interacting Hessence Dark Energy in f(T) Gravity
We have carried out dynamical system analysis of hessence field coupling with dark matter in f(T) gravity. We have analysed the critical points due to autonomous system. The resulting autonomous system is nonlinear. So, we have applied the theory of nonlinear dynamical system. We have noticed that v...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/2864784 |
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| author | Jyotirmay Das Mandal Ujjal Debnath |
| author_facet | Jyotirmay Das Mandal Ujjal Debnath |
| author_sort | Jyotirmay Das Mandal |
| collection | DOAJ |
| description | We have carried out dynamical system analysis of hessence field coupling with dark matter in f(T) gravity. We have analysed the critical points due to autonomous system. The resulting autonomous system is nonlinear. So, we have applied the theory of nonlinear dynamical system. We have noticed that very few papers are devoted to this kind of study. Maximum works in literature are done treating the dynamical system as done in linear dynamical analysis, which are unable to predict correct evolution. Our work is totally different from those kinds of works. We have used nonlinear dynamical system theory, developed till date, in our analysis. This approach gives totally different stable solutions, in contrast to what the linear analysis would have predicted. We have discussed the stability analysis in detail due to exponential potential through computational method in tabular form and analysed the evolution of the universe. Some plots are drawn to investigate the behaviour of the system (this plotting technique is different from usual phase plot and that devised by us). Interestingly, the analysis shows that the universe may resemble the “cosmological constant” like evolution (i.e., ΛCDM model is a subset of the solution set). Also, all the fixed points of our model are able to avoid Big Rip singularity. |
| format | Article |
| id | doaj-art-5d0f564121474fb887b9fcf88400031c |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-5d0f564121474fb887b9fcf88400031c2025-02-03T06:42:05ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/28647842864784Dynamical System Analysis of Interacting Hessence Dark Energy in f(T) GravityJyotirmay Das Mandal0Ujjal Debnath1Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711 103, IndiaDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711 103, IndiaWe have carried out dynamical system analysis of hessence field coupling with dark matter in f(T) gravity. We have analysed the critical points due to autonomous system. The resulting autonomous system is nonlinear. So, we have applied the theory of nonlinear dynamical system. We have noticed that very few papers are devoted to this kind of study. Maximum works in literature are done treating the dynamical system as done in linear dynamical analysis, which are unable to predict correct evolution. Our work is totally different from those kinds of works. We have used nonlinear dynamical system theory, developed till date, in our analysis. This approach gives totally different stable solutions, in contrast to what the linear analysis would have predicted. We have discussed the stability analysis in detail due to exponential potential through computational method in tabular form and analysed the evolution of the universe. Some plots are drawn to investigate the behaviour of the system (this plotting technique is different from usual phase plot and that devised by us). Interestingly, the analysis shows that the universe may resemble the “cosmological constant” like evolution (i.e., ΛCDM model is a subset of the solution set). Also, all the fixed points of our model are able to avoid Big Rip singularity.http://dx.doi.org/10.1155/2017/2864784 |
| spellingShingle | Jyotirmay Das Mandal Ujjal Debnath Dynamical System Analysis of Interacting Hessence Dark Energy in f(T) Gravity Advances in High Energy Physics |
| title | Dynamical System Analysis of Interacting Hessence Dark Energy in f(T) Gravity |
| title_full | Dynamical System Analysis of Interacting Hessence Dark Energy in f(T) Gravity |
| title_fullStr | Dynamical System Analysis of Interacting Hessence Dark Energy in f(T) Gravity |
| title_full_unstemmed | Dynamical System Analysis of Interacting Hessence Dark Energy in f(T) Gravity |
| title_short | Dynamical System Analysis of Interacting Hessence Dark Energy in f(T) Gravity |
| title_sort | dynamical system analysis of interacting hessence dark energy in f t gravity |
| url | http://dx.doi.org/10.1155/2017/2864784 |
| work_keys_str_mv | AT jyotirmaydasmandal dynamicalsystemanalysisofinteractinghessencedarkenergyinftgravity AT ujjaldebnath dynamicalsystemanalysisofinteractinghessencedarkenergyinftgravity |