Statefinder and <i>O<sub>m</sub></i> Diagnostics for New Generalized Chaplygin Gas Model
We explore a unified model of dark matter and dark energy. This new model is a generalization of the generalized Chaplygin gas model and is known as a new generalized Chaplygin gas (NGCG) model. We study the evolutions of the Hubble parameter and the distance modulus for the model under consideratio...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-09-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/7/10/362 |
| _version_ | 1797513062308118528 |
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| author | Abdulla Al Mamon Vipin Chandra Dubey Kazuharu Bamba |
| author_facet | Abdulla Al Mamon Vipin Chandra Dubey Kazuharu Bamba |
| author_sort | Abdulla Al Mamon |
| collection | DOAJ |
| description | We explore a unified model of dark matter and dark energy. This new model is a generalization of the generalized Chaplygin gas model and is known as a new generalized Chaplygin gas (NGCG) model. We study the evolutions of the Hubble parameter and the distance modulus for the model under consideration and the standard <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>CDM model and compare that with the observational datasets. Furthermore, we demonstrate two geometric diagnostics analyses including the statefinder <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>O</mi><mi>m</mi></msub><mrow><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></mrow></mrow></semantics></math></inline-formula> to the discriminant NGCG model from the standard <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>CDM model. The trajectories of evolution for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>O</mi><mi>m</mi></msub><mrow><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></mrow></mrow></semantics></math></inline-formula> diagnostic planes are shown to understand the geometrical behavior of the NGCG model by using different observational data points. |
| first_indexed | 2024-03-10T06:09:26Z |
| format | Article |
| id | doaj.art-6654c1dd267d4e3383142e3c716ec723 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T06:09:26Z |
| publishDate | 2021-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-6654c1dd267d4e3383142e3c716ec7232023-11-22T20:13:54ZengMDPI AGUniverse2218-19972021-09-0171036210.3390/universe7100362Statefinder and <i>O<sub>m</sub></i> Diagnostics for New Generalized Chaplygin Gas ModelAbdulla Al Mamon0Vipin Chandra Dubey1Kazuharu Bamba2Department of Physics, Vivekananda Satavarshiki Mahavidyalaya (Affiliated to the Vidyasagar University), Manikpara 721513, IndiaDepartment of Mathematics, Jaypee Institute of Information Technology, Noida 201309, IndiaDivision of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Fukushima 960-1296, JapanWe explore a unified model of dark matter and dark energy. This new model is a generalization of the generalized Chaplygin gas model and is known as a new generalized Chaplygin gas (NGCG) model. We study the evolutions of the Hubble parameter and the distance modulus for the model under consideration and the standard <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>CDM model and compare that with the observational datasets. Furthermore, we demonstrate two geometric diagnostics analyses including the statefinder <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>O</mi><mi>m</mi></msub><mrow><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></mrow></mrow></semantics></math></inline-formula> to the discriminant NGCG model from the standard <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>CDM model. The trajectories of evolution for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>O</mi><mi>m</mi></msub><mrow><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></mrow></mrow></semantics></math></inline-formula> diagnostic planes are shown to understand the geometrical behavior of the NGCG model by using different observational data points.https://www.mdpi.com/2218-1997/7/10/362new GCGstatefinder diagnostic |
| spellingShingle | Abdulla Al Mamon Vipin Chandra Dubey Kazuharu Bamba Statefinder and <i>O<sub>m</sub></i> Diagnostics for New Generalized Chaplygin Gas Model Universe new GCG statefinder diagnostic |
| title | Statefinder and <i>O<sub>m</sub></i> Diagnostics for New Generalized Chaplygin Gas Model |
| title_full | Statefinder and <i>O<sub>m</sub></i> Diagnostics for New Generalized Chaplygin Gas Model |
| title_fullStr | Statefinder and <i>O<sub>m</sub></i> Diagnostics for New Generalized Chaplygin Gas Model |
| title_full_unstemmed | Statefinder and <i>O<sub>m</sub></i> Diagnostics for New Generalized Chaplygin Gas Model |
| title_short | Statefinder and <i>O<sub>m</sub></i> Diagnostics for New Generalized Chaplygin Gas Model |
| title_sort | statefinder and i o sub m sub i diagnostics for new generalized chaplygin gas model |
| topic | new GCG statefinder diagnostic |
| url | https://www.mdpi.com/2218-1997/7/10/362 |
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