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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Nature Portfolio
2021
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oai:doaj.org-article:ff106acd3a9a4ca88a8aadf7244248892021-12-02T14:06:56ZDynamical system analysis of FLRW models with Modified Chaplygin gas10.1038/s41598-020-80396-w2045-2322https://doaj.org/article/ff106acd3a9a4ca88a8aadf7244248892021-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-80396-whttps://doaj.org/toc/2045-2322Abstract 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.Ali Osman YılmazErtan GüdekliNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021) |
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Medicine R Science Q |
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Medicine R Science Q Ali Osman Yılmaz Ertan Güdekli Dynamical system analysis of FLRW models with Modified Chaplygin gas |
| 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. |
| format |
article |
| author |
Ali Osman Yılmaz Ertan Güdekli |
| author_facet |
Ali Osman Yılmaz Ertan Güdekli |
| author_sort |
Ali Osman Yılmaz |
| title |
Dynamical system analysis of FLRW models with Modified Chaplygin gas |
| title_short |
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_sort |
dynamical system analysis of flrw models with modified chaplygin gas |
| publisher |
Nature Portfolio |
| publishDate |
2021 |
| url |
https://doaj.org/article/ff106acd3a9a4ca88a8aadf724424889 |
| work_keys_str_mv |
AT aliosmanyılmaz dynamicalsystemanalysisofflrwmodelswithmodifiedchaplygingas AT ertangudekli dynamicalsystemanalysisofflrwmodelswithmodifiedchaplygingas |
| _version_ |
1718392001456504832 |