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| Autori principali: | , , |
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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2508.17795 |
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| _version_ | 1866914003005997056 |
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| author | Kucukakca, Yusuf Omidvar, Fereshteh Akbarieh, Amin Rezaei |
| author_facet | Kucukakca, Yusuf Omidvar, Fereshteh Akbarieh, Amin Rezaei |
| contents | We study a cosmological model in the framework of teleparallel gravity, where a vector field $A_μ$ is non-minimally coupled to the torsion scalar $T$ in a flat Friedmann-Robertson-Walker (FRW) universe. Using the Noether symmetry approach, we identify specific forms for the coupling function $g(ξ)$ and the potential $V(ξ) = V_0 ξ^n$, with $ξ\equiv A_μA^μ$. The method allows us to find exact analytical solutions for the scale factor $a(t)$ and the scalar function $ξ(t)$. General solutions for arbitrary values of $n$ are derived, but special cases such as $n = 1$ and $n = 3$ are studied separately due to their distinct behavior. For $n = 1$, the model describes a transition from decelerated to accelerated expansion, and depending on the value of the model parameter, a transition to a phantom phase is also possible, which is consistent with phantom dark energy. For the special case $n=3$, this model first experiences a deceleration phase and then enters a stable accelerating phase, such that the acceleration parameter $q(t)$ changes from positive to negative values and the equation of state parameter $ω_ξ(t)$ tends to $-1$ at late times, similar to quintessence dark energy. Unlike the case $n=1$, in this case, no transition to the phantom phase is observed. Therefore, this model can describe the behavior of the universe during periods of dark energy dominance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17795 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact Solutions for a Teleparallel Cosmological Model with Vector Field via Noether Symmetry Kucukakca, Yusuf Omidvar, Fereshteh Akbarieh, Amin Rezaei General Relativity and Quantum Cosmology We study a cosmological model in the framework of teleparallel gravity, where a vector field $A_μ$ is non-minimally coupled to the torsion scalar $T$ in a flat Friedmann-Robertson-Walker (FRW) universe. Using the Noether symmetry approach, we identify specific forms for the coupling function $g(ξ)$ and the potential $V(ξ) = V_0 ξ^n$, with $ξ\equiv A_μA^μ$. The method allows us to find exact analytical solutions for the scale factor $a(t)$ and the scalar function $ξ(t)$. General solutions for arbitrary values of $n$ are derived, but special cases such as $n = 1$ and $n = 3$ are studied separately due to their distinct behavior. For $n = 1$, the model describes a transition from decelerated to accelerated expansion, and depending on the value of the model parameter, a transition to a phantom phase is also possible, which is consistent with phantom dark energy. For the special case $n=3$, this model first experiences a deceleration phase and then enters a stable accelerating phase, such that the acceleration parameter $q(t)$ changes from positive to negative values and the equation of state parameter $ω_ξ(t)$ tends to $-1$ at late times, similar to quintessence dark energy. Unlike the case $n=1$, in this case, no transition to the phantom phase is observed. Therefore, this model can describe the behavior of the universe during periods of dark energy dominance. |
| title | Exact Solutions for a Teleparallel Cosmological Model with Vector Field via Noether Symmetry |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.17795 |