宇宙学红移的运动学解释

G. Ter-Kazarian
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引用次数: 2

摘要

我们描述了标准宇宙学模型中宇宙学红移的运动学解释的本质正确解。在标准宇宙学模型中空间均质各向同性的Robertson-Walker时空的“空间拉伸”的框架下,我们研究了宇宙膨胀的所谓“前瞻”历史,它遵循一定的规则,以克服源四速度沿零测地线平行传输给观察者的模糊性。我们将宇宙学红移解释为一系列无限小的“相对”光谱位移的积累,这些光谱位移沿着光的路径是由于衰退而产生的。我们的解的关键是运动天体的动力学衰退速度,即使对于一阶或多阶的大红移,它也始终是亚光速的,因此它不违反因果关系的基本物理原理。我们的分析建立了整体宇宙红移和动力学衰退速度的直接运动学关系,这与我们熟悉的全球多普勒频移公式完全不同。红移0.9≤z≤800时,全球多普勒速度与动力学衰退速度之差≥0.072c,其中红移z = 4.5 ~ 5.1时达到最大值0.187c。一般解被简化为沿零测地线的全局多普勒频移。我们讨论了米尔恩宇宙的零密度宇宙学模型的含义,而与更常见的相对速度的狭义相对论概念的对应关系保留了下来。在表1中,我们用从文献中收集的光谱红移测定结果总结了一些典型的遥远天体的动力学衰退速度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the kinematic interpretation of cosmological redshifts
We describe what is essentially a correct solution to the kinematic interpretation of cosmological redshifts in standard cosmological model. In the framework of "stretching of space" point of view of the spatially homogeneous and isotropic Robertson-Walker space-time of standard cosmological model, we study so-called "lookforward" history of expanding universe, subject to certain rules, in order to overcome the ambiguity of the parallel transport of source four-velocity along the null geodesic to an observer. We interpret the cosmological redshifts as the accumulation of a series of infinitesimal "relative" spectral shifts along the path of light consequent on recession. The crux of our solution is the kinetic recession velocity of comoving astronomical object, which is always subluminal even for large redshifts of order one or more, so that it does not violate the fundamental physical principle of causality. Our analysis establishes a straightforward kinematic relationship of overall cosmological redshift and kinetic recession velocity, which is utterly distinct from a familiar global Doppler shift formula. A difference of global Doppler velocity and kinetic recession velocity, for redshifts 0.9 ≤ z ≤ 800, is ≥ 0.072c, where a maximum value, 0.187c, is reached at redshifts z = 4.5 - 5.1. A general solution is reduced to a global Doppler shift along the null geodesic. We discuss the implications for the case of a zero-density cosmological model of Milne universe, whereas a correspondence to the more usual special relativity notion of relative speed retains. In Table 1, we are summing up kinetic recession velocities of some typical distant astronomical objects with spectroscopic redshift determinations collected from the literature.
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