Noether symmetries in interacting Yang–Mills quintessence cosmology
Physica Scripta, cilt.101, sa.40, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 101 Sayı: 40
- Basım Tarihi: 2026
- Doi Numarası: 10.1088/1402-4896/aeaebe
- Dergi Adı: Physica Scripta
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
- Anahtar Kelimeler: cosmic triad, homogeneous stability, interacting dark energy, Noether symmetry, Yang–Mills quintessence
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Akdeniz Üniversitesi Adresli: Evet
Özet
We investigate an interacting Yang–Mills quintessence cosmology in a spatially flat FLRW background. The model contains a non-minimal curvature coupling (Formula presented), a Yang–Mills kinetic coupling (Formula presented), an effective self-interaction potential (Formula presented), and a phenomenological interaction function (Formula presented) between the vector sector and pressureless matter. We apply the Noether symmetry approximation to the model to determine both the form of the unknown functions in the Lagrangian and to reduce the dynamics. The analytical solutions obtained through Noether symmetry show that the models lead to an accelerated expanding Universe. Finally, representative numerical examples illustrate an accelerated power-law solution in Branch 2 and a Branch 4 solution in which the deceleration parameter changes sign during evolution. We also discuss the homogeneous stability of the obtained solutions in detail. The branches belong to a selected power-law class; Branch 3 is retained only as a formal classical sector because its Yang–Mills kinetic coupling is negative under the condition (Formula presented) .