Akademik Veri Yönetim Sistemi
International Journal of Geometric Methods in Modern Physics, 2026 (SCI-Expanded, Scopus)
In this paper, we study a cosmological model in the framework of teleparallel gravity, where a vector field Aμ is non-minimally coupled to the torsion scalar T in a flat Friedmann–Robertson–Walker (FRW) universe. By using the Noether symmetry approach, we identify specific forms for the coupling function g(ξ) and the potential V (ξ) = V0ξn, with ξ ≡ AμAμ. 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 ωξ(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. In addition, the model is confronted with recent observational data, including SNe Ia, BAO, and CMB through a Bayesian statistical analysis, allowing us to constrain the model parameters. The results indicate that the theoretical predictions are in good agreement with observational data, supporting the viability of the model as a candidate for dark energy.