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arXiv 2303.01165gr-qc
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驱动宇宙膨胀的挠率

Torsion driving cosmic expansion

Johannes Kirsch, David Vasak, Armin van de Venn, Jürgen Struckmeier

AI总结:

本文基于正则哈密顿量变换构建含反对称挠率的 Einstein–Cartan 扩展宇宙学模型,并借助 Planck 参数证明挠率可解释暗能量效应、替代宇宙学常数。

摘要:

我们研究了一个基于正则哈密顿量变换理论的宇宙学模型。通过对自由引力 De Donder–Weyl 哈密顿量 $H_\mathrm{Gr}$ 采用线性—二次方法,该模型除 Einstein 理论外,还包含描述 AdS 时空形变以及完全反对称挠率的项。由此得到的 Einstein–Cartan 理论扩展依赖于两个初始未知常数 $Ω_\mathrm{g}$ 和 $Ω_\mathrm{s}$。在通过渐近分析为这些参数作出适当选择后,数值计算在 $Ω_\mathrm{Λ}=0$ 的条件下进行。所有其他所需宇宙学参数均采用 Planck Collaboration 的数值。由此表明,挠率可以解释通常归因于暗能量的现象,从而可以取代 Einstein 的宇宙学常数。

英文摘要:

We study a cosmological model based on the canonical Hamiltonian transformation theory. Using a linear-quadratic approach for the free gravitational De Donder-Weyl Hamiltonian $H_\mathrm{Gr}$, the model contains terms describing a deformation of an AdS spacetime and a fully anti-symmetric torsion in addition to Einstein's theory. The resulting extension of the Einstein-Cartan theory depends on two initially unknown constants, $Ω_\mathrm{g}$ and $Ω_\mathrm{s}$. Given an appropriate choice of these parameters resulting from the analysis of asymptotics, numerical calculations were performed with $Ω_\mathrmΛ = 0$. Values from the Planck Collaboration were used for all other required cosmological parameters. In this way, it is shown that torsion can explain phenomena commonly attributed to dark energy, and thus can replace Einstein's cosmological constant.

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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