论文标题
具有定期分布不均匀性的宇宙学模型的构建，幅度不断增长
Construction of the cosmological model with periodically distributed inhomogeneities with growing amplitude
论文作者
论文摘要
我们构建了围绕爱因斯坦·德·保姆背景的宇宙学扰动理论的近似解决方案，直到四阶扰动。这可以借助施加在公制上的特定对称条件来完成，从而从中形成了模型密度形成无限的立方晶格。我们表明，以这种方式获得的扰动溶液可以解释为爱因斯坦方程的精确解决方案，用于类似粉尘的能量弹药量。在我们的模型中，似乎在大尺度上平均的物理量与相应的爱因斯坦·德·保姆预测重叠，而局部可观察结果可能与其背景对应物有很大差异。例如，我们详细分析了哈勃常数的局部和全局测量的行为，这在当前哈勃张力问题的背景下很重要。
We construct an approximate solution to the cosmological perturbation theory around Einstein-de Sitter background up to the fourth-order perturbations. This could be done with the help of the specific symmetry condition imposed on the metric, from which follows, that the model density forms an infinite, cubic lattice. We show that the perturbative solution obtained this way can be interpreted as the exact solution to the Einstein equations for a dust-like energy-momentum tensor. In our model, it seems that physical quantities averaged over a large scales overlap with the respective Einstein-de Sitter prediction, while local observables could differ significantly from their background counterparts. As an example, we analyze in details a behaviour of the local and the global measurements of the Hubble constant, which is important in the context of a current Hubble tension problem.
