Analytical solutions for vector dark energy model via Noether symmetry
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1142/s021988782650180x
- Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Technology Collection (ProQuest)
- Kocaeli Üniversitesi Adresli: Evet
Özet
In this work, we study a vector dark energy (vDE) model within the framework of a flat Friedmann-Lema & icirc;tre-Robertson-Walker (FLRW) spacetime. By using the Noether symmetry approach, we obtain analytical cosmological solutions. The vDE model includes a vector field A(mu) coupled to gravity through an arbitrary coupling function f(xi) and a potential function V (xi), 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 xi(t) = A(mu)A(mu). In this paper, we adopt the potential function in the form V (xi) = V-0 xi(n )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.