Dynamics of a Cosmological Model in <i>f</i>(<i>R</i>,<i>T</i>) Gravity: II. In Three-Dimensional Space
Based on the results discussed on the invariant planes in the known literature [Universe 2022, 8, 365] for the flat FLRW space-time universe model with ideal fluid under the gravity of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">&...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/9/1/49 |
| _version_ | 1797436617797926912 |
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| author | Jianwen Liu Ruifang Wang Fabao Gao |
| author_facet | Jianwen Liu Ruifang Wang Fabao Gao |
| author_sort | Jianwen Liu |
| collection | DOAJ |
| description | Based on the results discussed on the invariant planes in the known literature [Universe 2022, 8, 365] for the flat FLRW space-time universe model with ideal fluid under the gravity of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow><mo>=</mo><mi>ξ</mi><msup><mi>R</mi><mi>α</mi></msup><mo>+</mo><mi>ζ</mi><msqrt><mrow><mo>−</mo><mi>T</mi></mrow></msqrt></mrow></semantics></math></inline-formula>, this paper continues to describe the global dynamics of this model in the three-dimensional space containing infinity through dynamic system analysis. Moreover, the cosmological solutions of all the physical significance regions restricted by three invariant planes are also fully discussed. |
| first_indexed | 2024-03-09T11:05:14Z |
| format | Article |
| id | doaj.art-81fc9e9a4efe43b4b11823baf3198e1b |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T11:05:14Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-81fc9e9a4efe43b4b11823baf3198e1b2023-12-01T00:59:30ZengMDPI AGUniverse2218-19972023-01-01914910.3390/universe9010049Dynamics of a Cosmological Model in <i>f</i>(<i>R</i>,<i>T</i>) Gravity: II. In Three-Dimensional SpaceJianwen Liu0Ruifang Wang1Fabao Gao2School of Mathematical Science, Yangzhou University, Yangzhou 225002, ChinaSchool of Mathematical Science, Yangzhou University, Yangzhou 225002, ChinaSchool of Mathematical Science, Yangzhou University, Yangzhou 225002, ChinaBased on the results discussed on the invariant planes in the known literature [Universe 2022, 8, 365] for the flat FLRW space-time universe model with ideal fluid under the gravity of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow><mo>=</mo><mi>ξ</mi><msup><mi>R</mi><mi>α</mi></msup><mo>+</mo><mi>ζ</mi><msqrt><mrow><mo>−</mo><mi>T</mi></mrow></msqrt></mrow></semantics></math></inline-formula>, this paper continues to describe the global dynamics of this model in the three-dimensional space containing infinity through dynamic system analysis. Moreover, the cosmological solutions of all the physical significance regions restricted by three invariant planes are also fully discussed.https://www.mdpi.com/2218-1997/9/1/49<i>f</i>(<i>R</i>,<i>T</i>) gravityFLRW metricdynamic system analysisPoincaré compactification |
| spellingShingle | Jianwen Liu Ruifang Wang Fabao Gao Dynamics of a Cosmological Model in <i>f</i>(<i>R</i>,<i>T</i>) Gravity: II. In Three-Dimensional Space Universe <i>f</i>(<i>R</i>,<i>T</i>) gravity FLRW metric dynamic system analysis Poincaré compactification |
| title | Dynamics of a Cosmological Model in <i>f</i>(<i>R</i>,<i>T</i>) Gravity: II. In Three-Dimensional Space |
| title_full | Dynamics of a Cosmological Model in <i>f</i>(<i>R</i>,<i>T</i>) Gravity: II. In Three-Dimensional Space |
| title_fullStr | Dynamics of a Cosmological Model in <i>f</i>(<i>R</i>,<i>T</i>) Gravity: II. In Three-Dimensional Space |
| title_full_unstemmed | Dynamics of a Cosmological Model in <i>f</i>(<i>R</i>,<i>T</i>) Gravity: II. In Three-Dimensional Space |
| title_short | Dynamics of a Cosmological Model in <i>f</i>(<i>R</i>,<i>T</i>) Gravity: II. In Three-Dimensional Space |
| title_sort | dynamics of a cosmological model in i f i i r i i t i gravity ii in three dimensional space |
| topic | <i>f</i>(<i>R</i>,<i>T</i>) gravity FLRW metric dynamic system analysis Poincaré compactification |
| url | https://www.mdpi.com/2218-1997/9/1/49 |
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