AI 中文总结
研究通过$f(R,G,\mathcal{T})$引力框架探索原初宇宙学，利用大爆炸核合成，通过对$\left|\Delta T_f/T_f\right|$和$Y_p$的观测限制分析四个代表性模型，确定参数区域，显示该引力与原初轻元素丰度观测一致。
AI 中文摘要
在本文中，我们研究了最近发展的$f(R,G,\mathcal{T})$引力框架的宇宙学后果，其中作用量被表述为里奇标量$R$、高斯 - 博内不变量$G$以及能量 - 动量张量迹$\mathcal{T}$的一般函数。大爆炸核合成作为早期宇宙物理条件最可靠的探测手段之一，为测试与标准宇宙学的偏差提供了严格框架。我们考虑了四个代表性模型，利用对$\left|\Delta T_f/T_f\right|$和原初氦质量分数$Y_p$的观测限制进行分析和约束。得到的界限确定了每个模型允许的参数区域，表明与标准宇宙学的显著偏离与核合成观测是兼容的。我们的分析表明参数空间的广泛区域满足现有的核合成约束，这表明$f(R,G,\mathcal{T})$引力与观测到的原初轻元素丰度以及早期宇宙中轻核丰度保持一致的既定图景是一致的。
英文摘要
In this article, We investigate the cosmological consequences of a recently developed $f(R,G,\mathcal{T})$ gravitational framework, in which the action is formulated as a general function of the Ricci scalar $R$, the Gauss-Bonnet invariant $G$, and the trace of the energy-momentum tensor $\mathcal{T}$. As one of the most reliable probes of the physical conditions in the early universe, Big Bang nucleosynthesis offers a stringent framework for testing deviations from standard cosmology. We consider four representative models that are analyzed and constrained using observational limits on $\left|ΔT_f/T_f\right|$ and the primordial helium mass fraction $Y_p$. The bounds obtained identify the allowed parameter regions for each model and demonstrate that significant departures from standard cosmology are compatible with nucleosynthesis observations. Our analysis shows that broad regions of the parameter space satisfy existing nucleosynthesis constraints, indicating the consistency of $f(R,G,\mathcal{T})$ gravity with the observed primordial light-element abundances and the established picture of the early universe preserving the observed abundances of light nuclei.
