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arXiv 2011.01216gr-qc
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论宇宙膨胀和局域物理

On cosmological expansion and local physics

J. M. Pons, P. Talavera

摘要:

我们发现一个确切的收敛在本地动态描述的两个假定对立的方法在现代宇宙学:一个从膨胀的宇宙的角度,如FLRW,其他的基础上忽略任何概念的膨胀,如史瓦西dS的本地模型。当膨胀的局部效应被限制在宇宙学常数的存在下时,这两个模型是完全一致的。我们阐述了静态背景的相关作用,如Schwarzschild-dS度量的标准形式,作为最合适的协调来描述物理学在局部尺度。最后,利用一个古老的和经常被遗忘的相对论运动学不变量,我们澄清了一些广泛的误解,空间膨胀,宇宙学和引力红移。作为一个副产品,我们提出了{ \sl唯一和明确的}处方,以匹配一个特定的可观察到的本地和宇宙学的表达。

英文摘要:

We find an exact convergence in the local dynamics described by two supposedly antagonistic approaches in modern cosmology: one starting from an expanding universe perspective such as FLRW, the other based on a local model ignoring any notion of expansion, such as Schwarzschild dS. Both models are in complete agreement when the local effects of the expansion are circumscribed to the presence of the cosmological constant. We elaborate in the relevant role of static backgrounds like the Schwarzschild-dS metric in standard form as the most proper coordinatizations to describe physics at the local scale. Finally, making use of an old and too often forgotten relativistic kinematical invariant, we clarify some widespread misunderstandings on space expansion, cosmological and gravitational redshifts. As a byproduct we propose a {\sl unique and unambiguous} prescription to match the local and cosmological expression of a specific observable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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