Constrained transit cosmological models in $f(R,L_{m},T)$-gravity
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916532058062848 |
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| author | Maurya, Dinesh Chandra |
| author_facet | Maurya, Dinesh Chandra |
| contents | In the present paper, we investigate constrained transit cosmological models in the most recent proposed modified gravity theory, $f(R,L_{m},T)$-gravity. We obtain the modified field equations for a flat homogeneous and isotropic Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) spacetime metric. We constrain the equation of continuity by imposing the equation of state for the perfect fluid source $p=-\frac{1}{3}ρ+p_{0}$ so that we get energy conservation equation as $\dotρ+3H(ρ+p)=0$, (because generally, energy conservation law is not satisfied in $f(R,L_{m},T)$-gravity). Using this constraint, we establish a relation between the energy density parameters $Ω_{m0}$, $Ω_{r0}$, and $Ω_{f0}$ and the Hubble function. After that, we made observational constraints on $H(z)$ to obtain the best-fit present values of $Ω_{m0}$, $Ω_{r0}$, and $H_{0}$. Then, we use these best-fit values of energy parameters to investigate cosmological parameters such as the deceleration parameter, the effective equation of state $ω_{eff}$, and the energy density parameters $Ω_{m}$, $Ω_{r}$, and $Ω_{f}$ to learn more about the components and history of the expanding universe. We found an effective EoS parameter in the range $-1\le ω_{eff}\le\frac{1}{3}$ with a deceleration-acceleration transition redshift value of $z_{t}=0.6377, 0.6424$ along two datasets cosmic chronometer (CC) and Pantheon SNIa, respectively. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_14024 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constrained transit cosmological models in $f(R,L_{m},T)$-gravity Maurya, Dinesh Chandra General Relativity and Quantum Cosmology 83F05, 83C10, 85A40, 83B05 In the present paper, we investigate constrained transit cosmological models in the most recent proposed modified gravity theory, $f(R,L_{m},T)$-gravity. We obtain the modified field equations for a flat homogeneous and isotropic Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) spacetime metric. We constrain the equation of continuity by imposing the equation of state for the perfect fluid source $p=-\frac{1}{3}ρ+p_{0}$ so that we get energy conservation equation as $\dotρ+3H(ρ+p)=0$, (because generally, energy conservation law is not satisfied in $f(R,L_{m},T)$-gravity). Using this constraint, we establish a relation between the energy density parameters $Ω_{m0}$, $Ω_{r0}$, and $Ω_{f0}$ and the Hubble function. After that, we made observational constraints on $H(z)$ to obtain the best-fit present values of $Ω_{m0}$, $Ω_{r0}$, and $H_{0}$. Then, we use these best-fit values of energy parameters to investigate cosmological parameters such as the deceleration parameter, the effective equation of state $ω_{eff}$, and the energy density parameters $Ω_{m}$, $Ω_{r}$, and $Ω_{f}$ to learn more about the components and history of the expanding universe. We found an effective EoS parameter in the range $-1\le ω_{eff}\le\frac{1}{3}$ with a deceleration-acceleration transition redshift value of $z_{t}=0.6377, 0.6424$ along two datasets cosmic chronometer (CC) and Pantheon SNIa, respectively. |
| title | Constrained transit cosmological models in $f(R,L_{m},T)$-gravity |
| topic | General Relativity and Quantum Cosmology 83F05, 83C10, 85A40, 83B05 |
| url | https://arxiv.org/abs/2409.14024 |