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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2408.13792 |
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| _version_ | 1866910689020346368 |
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| author | Bhoyar, S. R. Ingole, Yash B. |
| author_facet | Bhoyar, S. R. Ingole, Yash B. |
| contents | This article explores the cosmological scenario of the universe in the context of the $f(T)$ power law model, where $T$ represent the torsion scalar. To obtain the deterministic solution of the field equations we parametrized the effective Equation-of-State with two parameters $m$ and $k$ as suggested by A. Mukherjee in a flat FLRW environment. We impose constraints on the free parameters of the derived solution by utilizing MCMC analysis assuming the $CC, Pantheon+SH0ES$, and $CC+Pantheon+SH0ES$ as data samples. We explore the dynamics of cosmological parameters. The evolutionary profile of the deceleration parameter exhibits the transition %from the decelerated to the accelerated phase. The effective Equation-of-State parameter indicates the model remains in the quintessence era and gradually becomes the Einsteins-de-Sitter model. In addition to this, we also explore the jerk, snap, and lerk parameters. Furthermore, the $Om(z)$ diagnostic shows that the model has a consistent positive slope across the entire evolution, but resembles the standard $Λ$CDM model in the near future. At last, we conclude that the power law function of the modified $f(T)$ gravity model in the framework of the FLRW universe aligns more closely with the $Λ$CDM model for given observational data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13792 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Resolving FLRW cosmology through effective equations of state in $f(T)$ gravity Bhoyar, S. R. Ingole, Yash B. General Relativity and Quantum Cosmology This article explores the cosmological scenario of the universe in the context of the $f(T)$ power law model, where $T$ represent the torsion scalar. To obtain the deterministic solution of the field equations we parametrized the effective Equation-of-State with two parameters $m$ and $k$ as suggested by A. Mukherjee in a flat FLRW environment. We impose constraints on the free parameters of the derived solution by utilizing MCMC analysis assuming the $CC, Pantheon+SH0ES$, and $CC+Pantheon+SH0ES$ as data samples. We explore the dynamics of cosmological parameters. The evolutionary profile of the deceleration parameter exhibits the transition %from the decelerated to the accelerated phase. The effective Equation-of-State parameter indicates the model remains in the quintessence era and gradually becomes the Einsteins-de-Sitter model. In addition to this, we also explore the jerk, snap, and lerk parameters. Furthermore, the $Om(z)$ diagnostic shows that the model has a consistent positive slope across the entire evolution, but resembles the standard $Λ$CDM model in the near future. At last, we conclude that the power law function of the modified $f(T)$ gravity model in the framework of the FLRW universe aligns more closely with the $Λ$CDM model for given observational data. |
| title | Resolving FLRW cosmology through effective equations of state in $f(T)$ gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2408.13792 |