具有一般物质含量的统计均匀各向同性宇宙中的光传播
Light propagation in statistically homogeneous and isotropic universes with general matter content
摘要：
我们推导出宇宙的平均膨胀率的红移和角直径的距离的关系是统计均匀的和各向同性的分布演变缓慢，但具有任意的几何形状和物质含量。相关的平均膨胀率是由观测到的红移和假设的时空对称性来选择的。我们说明了为什么光的偏转和剪切仍然很小。我们写出了平均膨胀率的演化方程，并讨论了尘埃近似的有效性。
英文摘要：
We derive the relationship of the redshift and the angular diameter distance to the average expansion rate for universes which are statistically homogeneous and isotropic and where the distribution evolves slowly, but which have otherwise arbitrary geometry and matter content. The relevant average expansion rate is selected by the observable redshift and the assumed symmetry properties of the spacetime. We show why light deflection and shear remain small. We write down the evolution equations for the average expansion rate and discuss the validity of the dust approximation.
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