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A DIRECT ESTIMATE OF THE SPATIAL CURVATURE OF THE UNIVERSE

机译:直接估计宇宙的空间曲率

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The main idea of this contribution is to calculate the average spatial curvature directly from the observed mass distribution of the universe. In short, our philosophy is that the curvature of the universe is generated solely by the matter it contains. Although this may seem as self-evident in the context of general relativity, the usual practice in cosmology is rather to use a top-down approach in which the curvature is calculated indirectly using a prescribed matter distribution as a source of the Einstein equations. By contrast, our approach may be seen as part of a bottom-up approach. In practical terms, we first calculate the far field spatial curvature generated by an isolated matter distribution which is in arbitrary motion. At this stage we obtain the result that the sign of the spatial curvature is necessarily positive. For the spatial curvature generated by multiple sources we show that it is sufficient to use linearized theory to compute the leading contributions. In the matter dominated era the spatial curvature is then seen to be generated by local sources at small redshifts. This fact makes it possible to calculate the total spatial curvature just by summing up the contributions from the observed discrete mass distribution. A crude estimate gives a very small value for the curvature.
机译:该贡献的主要思想是直接从观察到的宇宙分布的平均空间曲率。简而言之,我们的哲学是,宇宙的曲率仅由它包含的问题产生。尽管在一般相对论的背景下,但是宇宙学中通常的实践尤其是使用自上而下的方法,其中使用规定的物质分布作为EINSTEI方程的来源间接计算曲率。相比之下,我们的方法可以被视为自下而上方法的一部分。实际上,我们首先计算由孤立的物质分布产生的远场空间曲率,该空间曲率是任意运动的。在这个阶段,我们获得了空间曲率的迹象必然是正的结果。对于多个来源产生的空间曲率,我们表明使用线性化理论来计算主要贡献足以。在此问题中,占据了时代,然后看到空间曲率被小型红移的本地来源产生。这一事实使得可以通过总结观察到的离散质量分布的贡献来计算总空间曲率。粗略估计为曲率产生了非常小的值。

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