Noether symmetry in non-minimally coupled Yang–Mills cosmology


REZAEI AKBARIEH A., KÜÇÜKAKÇA Y., Ilkhchi N. S., Esmer G. D.

International Journal of Geometric Methods in Modern Physics, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1142/s0219887826503627
  • 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)
  • Anahtar Kelimeler: cosmic triad, dark energy, exact cosmological solutions, Noether symmetry, non-minimal coupling, Yang–Mills cosmology
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This paper investigates a cosmological model based on a non-minimally coupled Yang–Mills field in the framework of a spatially flat FLRW universe. The model includes general functions describing the coupling between the Yang–Mills field and gravity, as well as its self-interaction potential. To further analyze the model, the Noether symmetry approach is used as a systematic method to identify conserved quantities and reduce the complexity of the dynamical system. By imposing the existence of a Noether symmetry, the initially arbitrary coupling functions are constrained, and the exact cosmological solutions compatible with observational data are found. It is shown that, under suitable conditions, Yang–Mills field behaves as a dark-energy component capable of driving the accelerated expansion of the universe.