AI 中文总结
研究霍伊尔-纳里卡尔创生场宇宙学与暗物质标量场模型相互作用，用拉格朗日标量场公式等方法，将HN $c$场动力学纳入GCG状态方程，推导相关特性，表明创生场宇宙学可嵌入含细微修正的标量场模型。
AI 中文摘要
研究了霍伊尔-纳里卡尔（HN）创生场宇宙学与暗物质标量场模型（包括广义查普利金气体（GCG））之间的相互作用。尽管它们源于不同理论框架，但无论是否包含创生场自由度（DoF）都涉及一个标量DoF，解决了标准$\Lambda$CDM模型的一些局限性。通过拉格朗日标量场公式和一阶哈密顿重构方法，表明HN $c$场动力学可通过等效修正标量场理论被GCG状态方程涵盖。在此统一描述中推导了晚期加速和线性微扰的稳定性。结果表明创生场宇宙学可嵌入更广泛的标量场模型类中，该类模型对哈勃膨胀率和相关物理可观测量有细微修正。
英文摘要
The interplay of Hoyle-Narlikar (HN) creation field cosmology and scalar field models for the dark sector, including the generalized Chaplygin Gas (GCG), is investigated . Though originating from distinct theoretical frameworks, both the inclusion and the non-inclusion of the creation field degree of freedom (DoF) involve a scalar DoF, which addresses some of the limitations of the standard $Λ$CDM model. Using a Lagrangian scalar field formulation and the first-order Hamiltonian reconstruction method, the HN $c$-field dynamics is shown to be encompassed by the GCG equation of state through an equivalent modified scalar field theory. Late-time acceleration and stability of linear perturbations are derived within this unified description. Our results suggest that creation field cosmologies may be embedded in a broader class of scalar field models which encompasses subtle modifications to the Hubble expansion rate and related physical observables.
Comments24 pages, 5 figures
Journal refUniverse 12, 215 (2026)
