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arXiv 2408.03417gr-qc
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遥平行引力与精质:非最小边界耦合的作用

Teleparallel Gravity and Quintessence: The Role of Nonminimal Boundary Couplings

S. A. Kadam, L. K. Duchaniya, B. Mishra

AI总结:

本文在一般标量-张量引力框架内构建了包含挠率标量与边界项非最小耦合的自治动力系统,通过分析三种势函数的模型参数约束、物态方程及密度参数,结合相空间图验证了暗能量主导的晚期宇宙加速临界点稳定性,并与 $Λ$CDM 模型及观测数据进行了对比。

摘要:

在本文中,我们概述了在一般标量-张量引力框架内自治动力系统的发展。该框架涵盖了挠率标量($T$)和边界项($B$)的非最小耦合标量场函数的整体结构。我们考察了三种具有充分物理动机的势函数形式,并通过动力系统分析对模型参数进行了约束。该分析在识别宇宙学上可行的模型方面发挥了关键作用。我们分析了动力参数的行为,例如暗能量和总的物态方程参数,以及辐射、物质和暗能量的所有标准密度参数,以评估它们与当前观测数据的兼容性。我们给出了相空间图,以支持相应临界点的稳定性条件。通过暗能量主导的临界点,宇宙明显处于其晚期宇宙加速阶段。此外,我们将我们的发现与最普遍的 $Λ$CDM 模型进行了比较。利用 Supernovae Ia 和 Hubble 速率 H(z) 的宇宙学数据集对结果进行了进一步检验。

英文摘要:

In this paper, we have outlined the development of an autonomous dynamical system within a general scalar-tensor gravity framework. This framework encompasses the overall structure of the non-minimally coupled scalar field functions for both the torsion scalar ($T$) and the boundary term ($B$). We have examined three well-motivated forms of potential functions and constrained the model parameters through dynamical system analysis. This analysis has played a crucial role in identifying cosmologically viable models. We have analysed the behaviour of dynamical parameters such as equation-of-state parameters for dark energy and the total, as well as all the standard density parameters for radiation, matter, and dark energy to assess their compatibility with current observational data. The phase space diagrams are presented to support the stability conditions of the corresponding critical points. The Universe is apparent in its late-time cosmic acceleration phase via the dark energy-dominated critical points. Additionally, we compare our findings with the most prevailing $Λ$CDM model. The outcomes are further inspected using the cosmological data sets of Supernovae Ia and the Hubble rate H(z).

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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