Noether symmetry in non-minimally coupled Yang-Mills cosmology
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2026
- Doi Number: 10.1142/s0219887826503627
- Journal Name: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Technology Collection (ProQuest)
- Istanbul University Affiliated: Yes
Abstract
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.