Dynamical system analysis of FLRW models with Modified Chaplygin gas
Abstract We investigate Friedmann–Lamaitre–Robertson–Walker (FLRW) models with modified Chaplygin gas and cosmological constant, using dynamical system methods. We assume $$p=(\gamma -1)\mu -\dfrac{A}{\mu ^\alpha }$$ p = ( γ - 1 ) μ - A μ α as equation of state where $$\mu$$ μ is the matter-energy d...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2021-02-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-020-80396-w |
| _version_ | 1818751390444421120 |
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| author | Ali Osman Yılmaz Ertan Güdekli |
| author_facet | Ali Osman Yılmaz Ertan Güdekli |
| author_sort | Ali Osman Yılmaz |
| collection | DOAJ |
| description | Abstract We investigate Friedmann–Lamaitre–Robertson–Walker (FLRW) models with modified Chaplygin gas and cosmological constant, using dynamical system methods. We assume $$p=(\gamma -1)\mu -\dfrac{A}{\mu ^\alpha }$$ p = ( γ - 1 ) μ - A μ α as equation of state where $$\mu$$ μ is the matter-energy density, p is the pressure, $$\alpha$$ α is a parameter which can take on values $$0<\alpha \le 1$$ 0 < α ≤ 1 as well as A and $$\gamma$$ γ are positive constants. We draw the state spaces and analyze the nature of the singularity at the beginning, as well as the fate of the universe in the far future. In particular, we address the question whether there is a solution which is stable for all the cases. |
| first_indexed | 2024-12-18T04:34:48Z |
| format | Article |
| id | doaj.art-ff106acd3a9a4ca88a8aadf724424889 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-18T04:34:48Z |
| publishDate | 2021-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-ff106acd3a9a4ca88a8aadf7244248892022-12-21T21:20:53ZengNature PortfolioScientific Reports2045-23222021-02-011111910.1038/s41598-020-80396-wDynamical system analysis of FLRW models with Modified Chaplygin gasAli Osman Yılmaz0Ertan Güdekli1Department of Physics, Istanbul UniversityDepartment of Physics, Istanbul UniversityAbstract We investigate Friedmann–Lamaitre–Robertson–Walker (FLRW) models with modified Chaplygin gas and cosmological constant, using dynamical system methods. We assume $$p=(\gamma -1)\mu -\dfrac{A}{\mu ^\alpha }$$ p = ( γ - 1 ) μ - A μ α as equation of state where $$\mu$$ μ is the matter-energy density, p is the pressure, $$\alpha$$ α is a parameter which can take on values $$0<\alpha \le 1$$ 0 < α ≤ 1 as well as A and $$\gamma$$ γ are positive constants. We draw the state spaces and analyze the nature of the singularity at the beginning, as well as the fate of the universe in the far future. In particular, we address the question whether there is a solution which is stable for all the cases.https://doi.org/10.1038/s41598-020-80396-w |
| spellingShingle | Ali Osman Yılmaz Ertan Güdekli Dynamical system analysis of FLRW models with Modified Chaplygin gas Scientific Reports |
| title | Dynamical system analysis of FLRW models with Modified Chaplygin gas |
| title_full | Dynamical system analysis of FLRW models with Modified Chaplygin gas |
| title_fullStr | Dynamical system analysis of FLRW models with Modified Chaplygin gas |
| title_full_unstemmed | Dynamical system analysis of FLRW models with Modified Chaplygin gas |
| title_short | Dynamical system analysis of FLRW models with Modified Chaplygin gas |
| title_sort | dynamical system analysis of flrw models with modified chaplygin gas |
| url | https://doi.org/10.1038/s41598-020-80396-w |
| work_keys_str_mv | AT aliosmanyılmaz dynamicalsystemanalysisofflrwmodelswithmodifiedchaplygingas AT ertangudekli dynamicalsystemanalysisofflrwmodelswithmodifiedchaplygingas |