Tsallis, Rényi and Sharma-Mittal Holographic Dark Energy Models in Loop Quantum Cosmology
The cosmic expansion phenomenon is being studied through the interaction of newly proposed dark energy models (Tsallis, Rényi and Sharma-Mittal holographic dark energy (HDE) models) with cold dark matter in the framework of loop quantum cosmology. We investigate different cosmic implication...
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MDPI AG
2018-11-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/10/11/635 |
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| author | Abdul Jawad Kazuharu Bamba Muhammad Younas Saba Qummer Shamaila Rani |
| author_facet | Abdul Jawad Kazuharu Bamba Muhammad Younas Saba Qummer Shamaila Rani |
| author_sort | Abdul Jawad |
| collection | DOAJ |
| description | The cosmic expansion phenomenon is being studied through the interaction of newly proposed dark energy models (Tsallis, Rényi and Sharma-Mittal holographic dark energy (HDE) models) with cold dark matter in the framework of loop quantum cosmology. We investigate different cosmic implications such as equation of state parameter, squared sound speed and cosmological plane (<inline-formula><math display="inline"><semantics><msub><mi>ω</mi> <mi>d</mi> </msub> </semantics> </math> </inline-formula>-<inline-formula> <math display="inline"> <semantics> <msubsup> <mi>ω</mi> <mrow> <mi>d</mi> </mrow> <mo>′</mo> </msubsup> </semantics> </math> </inline-formula>, <inline-formula> <math display="inline"> <semantics> <msub> <mi>ω</mi> <mi>d</mi> </msub> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <msubsup> <mi>ω</mi> <mi>d</mi> <mo>′</mo> </msubsup> </semantics> </math> </inline-formula> represent the equation of state (EoS) parameter and its evolution, respectively). It is found that EoS parameter exhibits quintom like behavior of the universe for all three models of HDE. The squared speed of sound represents the stable behavior of Rényi HDE and Sharma-Mittal HDE at the latter epoch while unstable behavior for Tsallis HDE. Moreover, <inline-formula> <math display="inline"> <semantics> <msub> <mi>ω</mi> <mi>d</mi> </msub> </semantics> </math> </inline-formula>-<inline-formula> <math display="inline"> <semantics> <msubsup> <mi>ω</mi> <mrow> <mi>d</mi> </mrow> <mo>′</mo> </msubsup> </semantics> </math> </inline-formula> plane lies in the thawing region for all three HDE models. |
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| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-13T06:08:39Z |
| publishDate | 2018-11-01 |
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| spelling | doaj.art-33e3411be00b43dca771957dbe69fca02022-12-22T02:59:08ZengMDPI AGSymmetry2073-89942018-11-01101163510.3390/sym10110635sym10110635Tsallis, Rényi and Sharma-Mittal Holographic Dark Energy Models in Loop Quantum CosmologyAbdul Jawad0Kazuharu Bamba1Muhammad Younas2Saba Qummer3Shamaila Rani4Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore-54000, PakistanDivision of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Fukushima 960-1296, JapanDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore-54000, PakistanDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore-54000, PakistanDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore-54000, PakistanThe cosmic expansion phenomenon is being studied through the interaction of newly proposed dark energy models (Tsallis, Rényi and Sharma-Mittal holographic dark energy (HDE) models) with cold dark matter in the framework of loop quantum cosmology. We investigate different cosmic implications such as equation of state parameter, squared sound speed and cosmological plane (<inline-formula><math display="inline"><semantics><msub><mi>ω</mi> <mi>d</mi> </msub> </semantics> </math> </inline-formula>-<inline-formula> <math display="inline"> <semantics> <msubsup> <mi>ω</mi> <mrow> <mi>d</mi> </mrow> <mo>′</mo> </msubsup> </semantics> </math> </inline-formula>, <inline-formula> <math display="inline"> <semantics> <msub> <mi>ω</mi> <mi>d</mi> </msub> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <msubsup> <mi>ω</mi> <mi>d</mi> <mo>′</mo> </msubsup> </semantics> </math> </inline-formula> represent the equation of state (EoS) parameter and its evolution, respectively). It is found that EoS parameter exhibits quintom like behavior of the universe for all three models of HDE. The squared speed of sound represents the stable behavior of Rényi HDE and Sharma-Mittal HDE at the latter epoch while unstable behavior for Tsallis HDE. Moreover, <inline-formula> <math display="inline"> <semantics> <msub> <mi>ω</mi> <mi>d</mi> </msub> </semantics> </math> </inline-formula>-<inline-formula> <math display="inline"> <semantics> <msubsup> <mi>ω</mi> <mrow> <mi>d</mi> </mrow> <mo>′</mo> </msubsup> </semantics> </math> </inline-formula> plane lies in the thawing region for all three HDE models.https://www.mdpi.com/2073-8994/10/11/635cosmoligical parametersdark energy modelsloop quantum cosmology |
| spellingShingle | Abdul Jawad Kazuharu Bamba Muhammad Younas Saba Qummer Shamaila Rani Tsallis, Rényi and Sharma-Mittal Holographic Dark Energy Models in Loop Quantum Cosmology Symmetry cosmoligical parameters dark energy models loop quantum cosmology |
| title | Tsallis, Rényi and Sharma-Mittal Holographic Dark Energy Models in Loop Quantum Cosmology |
| title_full | Tsallis, Rényi and Sharma-Mittal Holographic Dark Energy Models in Loop Quantum Cosmology |
| title_fullStr | Tsallis, Rényi and Sharma-Mittal Holographic Dark Energy Models in Loop Quantum Cosmology |
| title_full_unstemmed | Tsallis, Rényi and Sharma-Mittal Holographic Dark Energy Models in Loop Quantum Cosmology |
| title_short | Tsallis, Rényi and Sharma-Mittal Holographic Dark Energy Models in Loop Quantum Cosmology |
| title_sort | tsallis renyi and sharma mittal holographic dark energy models in loop quantum cosmology |
| topic | cosmoligical parameters dark energy models loop quantum cosmology |
| url | https://www.mdpi.com/2073-8994/10/11/635 |
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