Stability of a Viable Non-Minimal Bounce
The main difficulties in constructing a viable early Universe bouncing model are: to bypass the observational and theoretical no-go theorem, to construct a stable non-singular bouncing phase, and perhaps, the major concern of it is to construct a stable attractor solution which can evade the Belinsk...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/7/3/62 |
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| author | Debottam Nandi |
| author_facet | Debottam Nandi |
| author_sort | Debottam Nandi |
| collection | DOAJ |
| description | The main difficulties in constructing a viable early Universe bouncing model are: to bypass the observational and theoretical no-go theorem, to construct a stable non-singular bouncing phase, and perhaps, the major concern of it is to construct a stable attractor solution which can evade the Belinsky–Khalatnikov–Lifshitz (BKL) instability as well. In this article, in the homogeneous and isotropic background, we extensively study the stability analysis of the recently proposed viable non-minimal bouncing theory in the presence of an additional barotropic fluid and show that, the bouncing solution remains stable and can evade BKL instability for a wide range of the model parameter. We provide the expressions that explain the behavior of the Universe in the vicinity of the required fixed point i.e., the bouncing solution and compare our results with the minimal theory and show that ekpyrosis is the most stable solution in any scenario. |
| first_indexed | 2024-03-10T13:23:33Z |
| format | Article |
| id | doaj.art-be09c91dced344ac9f6bc3becc6871e6 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T13:23:33Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-be09c91dced344ac9f6bc3becc6871e62023-11-21T09:49:57ZengMDPI AGUniverse2218-19972021-03-01736210.3390/universe7030062Stability of a Viable Non-Minimal BounceDebottam Nandi0Department of Physics, Indian Institute of Technology Madras, Chennai 600036, IndiaThe main difficulties in constructing a viable early Universe bouncing model are: to bypass the observational and theoretical no-go theorem, to construct a stable non-singular bouncing phase, and perhaps, the major concern of it is to construct a stable attractor solution which can evade the Belinsky–Khalatnikov–Lifshitz (BKL) instability as well. In this article, in the homogeneous and isotropic background, we extensively study the stability analysis of the recently proposed viable non-minimal bouncing theory in the presence of an additional barotropic fluid and show that, the bouncing solution remains stable and can evade BKL instability for a wide range of the model parameter. We provide the expressions that explain the behavior of the Universe in the vicinity of the required fixed point i.e., the bouncing solution and compare our results with the minimal theory and show that ekpyrosis is the most stable solution in any scenario.https://www.mdpi.com/2218-1997/7/3/62bounceinflationconformal transformationmodified gravitynon-minimal couplingstability |
| spellingShingle | Debottam Nandi Stability of a Viable Non-Minimal Bounce Universe bounce inflation conformal transformation modified gravity non-minimal coupling stability |
| title | Stability of a Viable Non-Minimal Bounce |
| title_full | Stability of a Viable Non-Minimal Bounce |
| title_fullStr | Stability of a Viable Non-Minimal Bounce |
| title_full_unstemmed | Stability of a Viable Non-Minimal Bounce |
| title_short | Stability of a Viable Non-Minimal Bounce |
| title_sort | stability of a viable non minimal bounce |
| topic | bounce inflation conformal transformation modified gravity non-minimal coupling stability |
| url | https://www.mdpi.com/2218-1997/7/3/62 |
| work_keys_str_mv | AT debottamnandi stabilityofaviablenonminimalbounce |