MG13会议录：作为非均匀宇宙学玩具模型的格点宇宙
MG13 Proceedings: A lattice Universe as a toy-model for inhomogeneous cosmology
摘要：
我们简要报告以前发现的新的，近似的，解决爱因斯坦场方程，描述了一个立方晶格的球形质量。这个模型以一种令人满意的方式模拟了一个在小尺度上可以是强烈不均匀的宇宙，但在大尺度上是非常均匀的。作为场方程的结果，我们发现晶格宇宙的膨胀或收缩方式与一个充满具有相同平均密度的尘埃的弗里德曼宇宙的解相同。然而，对观测量的研究表明可能存在一个拟合问题，即从过去光锥观测量获得的弗里德曼模型与通过平滑宇宙物质含量获得的模型不匹配。
英文摘要：
We briefly report on a previously found new, approximate, solution to Einstein field equations, describing a cubic lattice of spherical masses. This model mimics in a satisfactory way a Universe which can be strongly inhomogeneous at small scales, but quite homogeneous at large ones. As a consequence of field equations, the lattice Universe is found to expand or contract in the same way as the solution of a Friedmann Universe filled with dust having the same average density. The study of observables indicates however the possible existence of a fitting problem, i.e. the fact that the Friedmann model obtained from past-lightcone observables does not match with the one obtained by smoothing the matter content of the Universe.
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