宇宙学中的修正平均过程与结构化FRW模型
Modified Averaging Processes in Cosmology and the Structured FRW model
摘要：
我们研究了GR中非均匀度量的体积平均，并讨论了它的缺点，如规范依赖性，焦散线的奇异行为和因果关系的违反。为了弥补这些缺点，我们建议对这种方法进行一些修改。作为一个案例研究，我们专注于非均匀结构的FRW模型的基础上平坦的LTB度量。平均的效果，然后研究在一个有效的反作用流体。结果表明，与文献中的权利要求相反，逆反应流体的行为类似于暗物质组分，而不是暗能量，其密度为物质密度的10^{-5}倍，最重要的是，它是规范相关的。
英文摘要：
We study the volume averaging of inhomogeneous metrics within GR and discuss its shortcomings such as gauge dependence, singular behavior as a result of caustics, and causality violations. To remedy these shortcomings, we suggest some modifications to this method. As a case study we focus on the inhomogeneous structured FRW model based on a flat LTB metric. The effect of averaging is then studied in terms of an effective backreaction fluid. It is shown that, contrary to the claims in the literature, the backreaction fluid behaves like a dark matter component, instead of dark energy, having a density of the order of 10^{-5} times the matter density, and most importantly, it is gauge dependent.
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