AI 中文总结
研究具有变光速和引力常数的各向同性宇宙学模型的潜在奇点，利用动力系统技术和渐近分裂方法分析控制场方程，揭示了封闭模型的坍缩和开放宇宙的持续膨胀等情况及奇点特征。
AI 中文摘要
我们研究了具有随时间变化的光速和引力常数的各向同性宇宙学模型中的潜在奇点。控制场方程通常简化为二维系统，通过相空间中的动力系统技术和渐近分裂方法进行分析。在更广泛的背景下，我们的发现揭示了存在初始膨胀的封闭模型，这些模型随后会朝着未来奇点重新坍缩，以及开放宇宙会向未来持续膨胀。我们还阐述了这些奇点的具体特征。
英文摘要
We investigate potential singularities in isotropic cosmological models featuring a time-varying speed of light and the gravitational constant. The governing field equations generally simplify into two-dimensional systems, subject to analysis through dynamical systems techniques within phase space and the application of asymptotic splitting methods. In the broader context, our findings reveal the existence of initially expanding closed models that undergo subsequent recollapse towards a future singularity, and open universes exhibiting perpetual expansion into the future. The specific characteristics of these singularities are also expounded upon.
Comments10 pages, no figures
Journal refEuropean Journal of Pure and Applied Mathematics, vol. 18, no. 3, Art. No. 6581 (2025)
DOI：10.29020/nybg.ejpam.v18i3.6581
