Akademik Veri Yönetim Sistemi
International Journal of Geometric Methods in Modern Physics, 2026 (SCI-Expanded, Scopus)
In this work, we study a vector dark energy (vDE) model within the framework of a flat Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime. By using the Noether symmetry approach, we obtain analytical cosmological solutions. The vDE model includes a vector field Aμ coupled to gravity through an arbitrary coupling function f(ξ) and a potential function V (ξ), which are determined by imposing Noether symmetry conditions. These conditions yield specific forms for the coupling and potential functions, enabling the simplification of the dynamical system. By introducing new variables u and z, we solve the field equations and obtain exact solutions for the scale factor a(t) and the vector field parameter ξ(t) = AμAμ. In this paper, we adopt the potential function in the form V (ξ) = V0ξn and derive solutions for general n. We specifically examine the cases n = 1 and n = 2, which produce physically viable results consistent with late-time cosmic acceleration. Graphical representations of the scale factor, vector field parameter, and equation of state demonstrate the transition from a matter-dominated era to an accelerated expansion phase, with the equation of state approaching − 1, resembling a cosmological constant. This paper suggests that the vDE model is a proper candidate for dark energy.