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外时宇宙：爱因斯坦场方程的一个静态解

The Exochronous Universe: a static solution to the Einstein field equation

Robin Booth

备注：
25 pages, 1 figure. Version submitted to Journal of Cosmology and Astroparticle Physics, conclusions section updated
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AI总结：

针对ΛCDM模型的危机，本文提出外时度规，得到爱因斯坦场方程静态解，无需暗物质暗能量即可接近观测重子密度。

摘要：

可以说，我们当前的宇宙学范式，即所谓的ΛCDM“协和模型”，正面临一场生存危机。这主要是由于其依赖于暗物质和暗能量这两个孪生概念，以及观测和理论物理学界持续无法为这些假设现象找到可行的候选者。虽然这一探索最终可能成功，但或许值得考虑替代方案，特别是重新审视我们当前宇宙学模型的基础，看看一个全新的宇宙学范式是否能提供更好的解释。本文回顾了主流宇宙学范式的主要失败之处，重点关注暗物质与暗能量关系所呈现的巧合与矛盾。重新审视该范式的核心特征，弗里德曼-勒梅特-罗伯逊-沃克（FLRW）度规被确定为当前ΛCDM模型问题的可能根源。基于近年来一些理论家提出的“无时间”宇宙概念，引入了外时度规，并证明其能给出爱因斯坦场方程的一个静态解。本文探讨了该模型的宇宙学意义，并证明它可以产生一个临界能量密度接近当前观测到的重子物质密度的宇宙，而无需引入暗物质或暗能量。

英文摘要：

Arguably our current cosmological paradigm, the so-called $Λ$CDM `concordance model', faces an existential crisis. This has largely been brought about by its reliance on the twin concepts of dark matter and dark energy, and the continued inability of the observational and theoretical physics community to find viable candidates for these postulated phenomena. While it is still possible that this search will eventually prove successful, it is perhaps worthwhile looking at alternatives, and in particular, re-examining the very foundations of our current cosmological model to see whether an entirely new cosmological paradigm might provide a better explanation. The main failures of the prevailing cosmological paradigm were reviewed, concentrating on the coincidences and contradictions presented by the relationship between dark matter and dark energy. Revisiting the core features of this paradigm, the Friedman-Lemaître-Robertson-Walker (FLRW) metric is identified as the likely root cause of current issues with the $Λ$CDM model. Building on the concept of a `timeless' universe suggested by a number of theorists in recent years, the exochronous metric is introduced and is shown to give rise to a static solution to the Einstein field equations. The cosmological implications of this model are explored, and we demonstrate that it can result in a universe with a critical energy density that is close to the currently observed baryonic matter density, without the need to invoke dark matter or dark energy.

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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