Stability of the Universe Model Coupled with Phantom and Tachyon Fields
In this paper, we study the phase space analysis of locally rotationally symmetric Bianchi type I universe model by taking interactions between dark matter and scalar field models. We define normalized dimensionless variables to develop an autonomous system of equations. We also find the correspondi...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/6582470 |
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| author | M. Sharif Saadia Mumtaz |
| author_facet | M. Sharif Saadia Mumtaz |
| author_sort | M. Sharif |
| collection | DOAJ |
| description | In this paper, we study the phase space analysis of locally rotationally symmetric Bianchi type I universe model by taking interactions between dark matter and scalar field models. We define normalized dimensionless variables to develop an autonomous system of equations. We also find the corresponding critical points in order to study the dynamics of the system. The dynamical analysis indicates that all the critical points correspond to accelerated cosmic expansion for tachyon coupled field. We observe that positive values of m provide more stable future attractors as compared to its negative values. We also analyze the behavior of power-law scale factor which shows different cosmological phases. It is found that the region for decelerated expansion gets larger for the phantom coupled matter by increasing m while this region decreases for tachyon coupled field. |
| format | Article |
| id | doaj-art-0f899c46290d4d1d844ea68e57cd0e97 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-0f899c46290d4d1d844ea68e57cd0e972025-08-20T03:54:28ZengWileyAdvances in High Energy Physics1687-73571687-73652019-01-01201910.1155/2019/65824706582470Stability of the Universe Model Coupled with Phantom and Tachyon FieldsM. Sharif0Saadia Mumtaz1Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590, PakistanDepartment of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590, PakistanIn this paper, we study the phase space analysis of locally rotationally symmetric Bianchi type I universe model by taking interactions between dark matter and scalar field models. We define normalized dimensionless variables to develop an autonomous system of equations. We also find the corresponding critical points in order to study the dynamics of the system. The dynamical analysis indicates that all the critical points correspond to accelerated cosmic expansion for tachyon coupled field. We observe that positive values of m provide more stable future attractors as compared to its negative values. We also analyze the behavior of power-law scale factor which shows different cosmological phases. It is found that the region for decelerated expansion gets larger for the phantom coupled matter by increasing m while this region decreases for tachyon coupled field.http://dx.doi.org/10.1155/2019/6582470 |
| spellingShingle | M. Sharif Saadia Mumtaz Stability of the Universe Model Coupled with Phantom and Tachyon Fields Advances in High Energy Physics |
| title | Stability of the Universe Model Coupled with Phantom and Tachyon Fields |
| title_full | Stability of the Universe Model Coupled with Phantom and Tachyon Fields |
| title_fullStr | Stability of the Universe Model Coupled with Phantom and Tachyon Fields |
| title_full_unstemmed | Stability of the Universe Model Coupled with Phantom and Tachyon Fields |
| title_short | Stability of the Universe Model Coupled with Phantom and Tachyon Fields |
| title_sort | stability of the universe model coupled with phantom and tachyon fields |
| url | http://dx.doi.org/10.1155/2019/6582470 |
| work_keys_str_mv | AT msharif stabilityoftheuniversemodelcoupledwithphantomandtachyonfields AT saadiamumtaz stabilityoftheuniversemodelcoupledwithphantomandtachyonfields |