Quintessence Behaviour of an Anisotropic Bulk Viscous Cosmological Model in Modified $f(Q)$-Gravity
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arXiv
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| Natura: | Preprint |
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2022
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| _version_ | 1866914910436327424 |
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| author | Pradhan, Anirudh Dixit, Archana Maurya, Dinesh Chandra |
| author_facet | Pradhan, Anirudh Dixit, Archana Maurya, Dinesh Chandra |
| contents | In this article, we have discussed the results of our investigation. We consider an anisotropic viscous cosmological model of (LRS) Bianchi type I spacetime universe filled with a viscous fluid under $f(Q)$ gravity. We have studied the modified $f(Q)$ gravity with quadratic form $f(Q)=αQ^{2}+β$, where $Q$ is called as a non-metricity scalar and $α$, $β$ are positive constants. We obtain the modified Einstein field equation by considering the viscosity coefficient $ξ(t)=ξ_{0}H$ and obtained the scale factor $a(t)=2~sinh\left (\frac{m+ 2} {6}\sqrt{\frac{ξ_{0}}{α(2m+1)}}t\right)$.We applied the observational constraint on the apparent magnitude $m(z)$ using the $χ^{2}$ test formula with observational data set like JLA or Union 2.1 compilation and obtained the best approximate values of the model parameters ${ m,α, H_{0} ξ_{0}}$. We have analyzed our model and found a transit phase quintessence anisotropic accelerating universe. We also examined the bulk viscosity equation of state (EoS) parameter $ω_{v}$ and obtained its current value as $ω_{v}<-1/3$, which shows the dark energy dominant model, cosmological constant, phantom, and super-phantom dark energy models, and tends to the $Λ$CDM value ($ω_{v}=-1$) in the late time. We also estimate the current age of the universe as $t_{0}\approx13.6$ Grys and analyze the Statefinder parameters with $(s,r)\to(0,1)$ as $t \to \infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_13730 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quintessence Behaviour of an Anisotropic Bulk Viscous Cosmological Model in Modified $f(Q)$-Gravity Pradhan, Anirudh Dixit, Archana Maurya, Dinesh Chandra General Relativity and Quantum Cosmology 83D05, 83F05, 83C15 In this article, we have discussed the results of our investigation. We consider an anisotropic viscous cosmological model of (LRS) Bianchi type I spacetime universe filled with a viscous fluid under $f(Q)$ gravity. We have studied the modified $f(Q)$ gravity with quadratic form $f(Q)=αQ^{2}+β$, where $Q$ is called as a non-metricity scalar and $α$, $β$ are positive constants. We obtain the modified Einstein field equation by considering the viscosity coefficient $ξ(t)=ξ_{0}H$ and obtained the scale factor $a(t)=2~sinh\left (\frac{m+ 2} {6}\sqrt{\frac{ξ_{0}}{α(2m+1)}}t\right)$.We applied the observational constraint on the apparent magnitude $m(z)$ using the $χ^{2}$ test formula with observational data set like JLA or Union 2.1 compilation and obtained the best approximate values of the model parameters ${ m,α, H_{0} ξ_{0}}$. We have analyzed our model and found a transit phase quintessence anisotropic accelerating universe. We also examined the bulk viscosity equation of state (EoS) parameter $ω_{v}$ and obtained its current value as $ω_{v}<-1/3$, which shows the dark energy dominant model, cosmological constant, phantom, and super-phantom dark energy models, and tends to the $Λ$CDM value ($ω_{v}=-1$) in the late time. We also estimate the current age of the universe as $t_{0}\approx13.6$ Grys and analyze the Statefinder parameters with $(s,r)\to(0,1)$ as $t \to \infty$. |
| title | Quintessence Behaviour of an Anisotropic Bulk Viscous Cosmological Model in Modified $f(Q)$-Gravity |
| topic | General Relativity and Quantum Cosmology 83D05, 83F05, 83C15 |
| url | https://arxiv.org/abs/2210.13730 |