AI 中文总结
该研究将准各向同性解推广至变光速及变引力常数宇宙学，构建形式渐近展开，并证明所得解因任意函数不足而非一般解。
AI 中文摘要
我们将爱因斯坦方程在宇宙初始奇点附近的准各向同性解推广到具有变光速和/或变引力“常数”的模型中。我们在同步参考系中构造了一个形式渐近级数展开，考虑了由这两个变化的“常数”引入的额外自由度。通过应用朗道-利夫希茨准各向同性方法，我们超越了以往基于弗里德曼-勒梅特-罗伯逊-沃克（FLRW）模型的研究标准结果，为变光速宇宙学提供了更一般的渐近分析。我们表明，所得解不包含足够数量的任意函数，因此不能作为这些理论的一般解。
英文摘要
We generalize the quasi-isotropic solution of the Einstein equations near a cosmological initial singularity to models with a varying speed of light and/or a varying gravitational 'constant'. We construct a formal asymptotic series expansion in a synchronous reference system, taking into account the additional degrees of freedom introduced by the two varying 'constants'. By applying the Landau-Lifshitz quasi-isotropic method, we go beyond the standard results of previous studies that based on the Friedmann-Lemaître-Robertson-Walker (FLRW) model, providing a more general asymptotic analysis of varying speed of light cosmologies. We show that the resulting solutions do not contain the required number of arbitrary functions to qualify as general solutions of these theories.
Comments22 pages. Accepted version. Published in Open Physics
Journal refOpen Physics, vol. 24, no. 1, Art. No. 20250311 (2026)
