The Cosmology of a Non-Minimally Coupled <i>f</i>(<i>R</i>,<i>T</i>) Gravitation
A non-minimally coupled cosmological scenario is considered in the context 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>&...
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MDPI AG
2022-11-01
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| Series: | Physics |
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| Online Access: | https://www.mdpi.com/2624-8174/4/4/86 |
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| author | Değer Sofuoğlu Rishi Kumar Tiwari Amare Abebe Alnadhief H. A. Alfedeel Eltegani I. Hassan |
| author_facet | Değer Sofuoğlu Rishi Kumar Tiwari Amare Abebe Alnadhief H. A. Alfedeel Eltegani I. Hassan |
| author_sort | Değer Sofuoğlu |
| collection | DOAJ |
| description | A non-minimally coupled cosmological scenario is considered in the context 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><msub><mi>f</mi><mn>1</mn></msub><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow><mo>+</mo><msub><mi>f</mi><mn>2</mn></msub><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow><msub><mi>f</mi><mn>3</mn></msub><mrow><mo>(</mo><mi>T</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> gravity (with <i>R</i> being the Ricci scalar and <i>T</i> the trace of the energy-momentum tensor) in the background of the flat Friedmann–Robertson–Walker (FRW) model. The field equations of this modified theory are solved using a time-dependent deceleration parameter for a dust. The behavior of the model is analyzed taking into account constraints from recent observed values the deceleration parameter. It is shown that the analyzed models can explain the transition from the decelerating phase to the accelerating one in the expansion of the universe, by staying true to the results of the observable universe. It is shown that the models are dominated by a quintessence-like cosmological dark fluid at the late universe. |
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| language | English |
| last_indexed | 2024-03-09T15:57:32Z |
| publishDate | 2022-11-01 |
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| series | Physics |
| spelling | doaj.art-854c4328fd1748a0978e96910cfff00c2023-11-24T17:26:37ZengMDPI AGPhysics2624-81742022-11-01441348135810.3390/physics4040086The Cosmology of a Non-Minimally Coupled <i>f</i>(<i>R</i>,<i>T</i>) GravitationDeğer Sofuoğlu0Rishi Kumar Tiwari1Amare Abebe2Alnadhief H. A. Alfedeel3Eltegani I. Hassan4Department of Physics, Faculty of Science, Istanbul University, Vezneciler/Fatih, Istanbul 34134, TurkeyDepartment of Mathematics, Govt. Model Science College, Rewa 486003, Madhya Pradesh, IndiaCentre for Space Research, North-West University, Mahikeng 2745, South AfricaDepartment of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 13318, Saudi ArabiaDepartment of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 13318, Saudi ArabiaA non-minimally coupled cosmological scenario is considered in the context 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><msub><mi>f</mi><mn>1</mn></msub><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow><mo>+</mo><msub><mi>f</mi><mn>2</mn></msub><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow><msub><mi>f</mi><mn>3</mn></msub><mrow><mo>(</mo><mi>T</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> gravity (with <i>R</i> being the Ricci scalar and <i>T</i> the trace of the energy-momentum tensor) in the background of the flat Friedmann–Robertson–Walker (FRW) model. The field equations of this modified theory are solved using a time-dependent deceleration parameter for a dust. The behavior of the model is analyzed taking into account constraints from recent observed values the deceleration parameter. It is shown that the analyzed models can explain the transition from the decelerating phase to the accelerating one in the expansion of the universe, by staying true to the results of the observable universe. It is shown that the models are dominated by a quintessence-like cosmological dark fluid at the late universe.https://www.mdpi.com/2624-8174/4/4/86<i>f</i>(<i>R</i>, <i>T</i>) theorydeceleration parameternon-minimal couplingdark energy |
| spellingShingle | Değer Sofuoğlu Rishi Kumar Tiwari Amare Abebe Alnadhief H. A. Alfedeel Eltegani I. Hassan The Cosmology of a Non-Minimally Coupled <i>f</i>(<i>R</i>,<i>T</i>) Gravitation Physics <i>f</i>(<i>R</i>, <i>T</i>) theory deceleration parameter non-minimal coupling dark energy |
| title | The Cosmology of a Non-Minimally Coupled <i>f</i>(<i>R</i>,<i>T</i>) Gravitation |
| title_full | The Cosmology of a Non-Minimally Coupled <i>f</i>(<i>R</i>,<i>T</i>) Gravitation |
| title_fullStr | The Cosmology of a Non-Minimally Coupled <i>f</i>(<i>R</i>,<i>T</i>) Gravitation |
| title_full_unstemmed | The Cosmology of a Non-Minimally Coupled <i>f</i>(<i>R</i>,<i>T</i>) Gravitation |
| title_short | The Cosmology of a Non-Minimally Coupled <i>f</i>(<i>R</i>,<i>T</i>) Gravitation |
| title_sort | cosmology of a non minimally coupled i f i i r i i t i gravitation |
| topic | <i>f</i>(<i>R</i>, <i>T</i>) theory deceleration parameter non-minimal coupling dark energy |
| url | https://www.mdpi.com/2624-8174/4/4/86 |
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