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Re-evaluation of Ωk of the normalised Friedmann-Lemaître-Robertson-Walker model: Implications for Hubble constant determinations
New Astronomy ( IF 2 ) Pub Date : 2021-04-22 , DOI: 10.1016/j.newast.2021.101609
Ahmet M. Öztaş , Michael L. Smith

The description of spacetime is an fundamental problem of cosmology. We explain why the current assignments of spacetime geometries for Ωk of the Friedmann-Lemaître-Robertson-Walker (FLRW) model are probably incorrect and suggest more useful descriptions. We show that Ωk represents not only curvature but the influence of matter density on the extent of spacetime between massive objects. Recent analyses of supernovae type Ia (SNe Ia) and HII/GEHR data with the FLRW model present the best fits with a small value for Ωm and a large Ωk. These results are consistent with our Universe exhibiting sparse matter density and quasi-Euclidean geometry and the small Ωm value agrees with Big Bang nucleosynthesis calculations. We suggest the geometry of our current Universe is better described by a value for Ωk1 rather than 0. As an example we extend the FLRW model towards the Big Bang and discover a simple explanation of how matter creation developed into the currently geometrically flat Universe with sparse, homogeneous, isotropic matter and energy distributions. Assigning Ωk1 to describe quasi-Euclidean spacetime geometry is also useful for estimating H0 and should help resolve the “tension” surrounding current estimates by different investigators.



中文翻译:

重新评估 Ωķ 化的Friedmann-Lemaître-Robertson-Walker模型的模型:对哈勃常数测定的影响

时空的描述是宇宙学的一个基本问题。我们解释了为什么当前时空几何的分配ΩķFriedmann-Lemaître-Robertson-Walker(FLRW)模型的模型可能不正确,并提出了更有用的描述。我们证明Ωķ不仅表示曲率,而且表示物质密度对大型物体之间时空范围的影响。最近用FLRW模型对Ia型超新星(SNe Ia)和HII / GEHR数据进行的分析显示了最佳拟合,且拟合值较小Ω 和一个大 Ωķ。这些结果与我们的宇宙显示稀疏物质密度和准欧几里得几何以及小Ω该值与Big Bang核合成计算相符。我们建议用的值更好地描述当前宇宙的几何形状Ωķ1而不是0。作为示例,我们将FLRW模型扩展到“大爆炸”,并发现了一个简单的解释,即物质创造如何发展为具有稀疏,均质,各向同性物质和能量分布的当前几何平坦的宇宙。分配Ωķ1个 描述拟欧几里德时空几何也可用于估算 H0 并应有助于解决不同研究者当前估计的“压力”。

更新日期:2021-05-18
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