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arXiv 2203.05964gr-qc
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遥平行引力下各向异性Bianchi Ⅰ型宇宙模型的稳定性分析

Stability analysis of anisotropic Bianchi type-I cosmological model in teleparallel gravity

M. Koussour, M. Bennai

摘要:

本文研究了在平行引力作用下理想流体的Bianchi I型宇宙模型。为了得到模型的宇宙学解,我们假设减速参数是哈勃参数$H$的线性函数,即$q=-1+βH$(其中$β$为正常数)。因此,我们得到了一个宇宙的模型,它从最初的减速阶段到现在的加速阶段。讨论了哈勃参数、减速参数、能量密度、压力和状态方程(EoS)参数等物理和几何性质,并以红移为例,用图形的方法研究了它们的行为,并与Ia型超新星(SNIa)等观测数据进行了比较。我们还讨论了其他参数如Jerk参数、Statefinder参数的行为,并通过研究稳定性分析和能量条件来检验模型的有效性。

英文摘要:

In this work, we study a cosmological model of Bianchi type-I Universe in teleparallel gravity for a perfect fluid. To obtain the cosmological solution of the model, we assume that the deceleration parameter is a linear function of the Hubble parameter $H$ i.e. $q=-1+βH$ (where $β$ as a positive constant). Consequently, we get a model of our Universe, where it goes from the initial phase of deceleration to the current phase of acceleration. We have discussed some physical and geometric properties such as Hubble parameter, deceleration parameter, energy density, pressure, and equation of state (EoS) parameter and study their behavior graphically in terms of redshift and compare it with observational data such as Type Ia supernovae (SNIa). We also discussed the behavior of other parameters such as the Jerk parameter, Statefinder parameters and we tested the validity of the model by studying the stability analysis and energy conditions.

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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