Abstract This study set out to examine the effect of anisotropy on the various dark energy models by using the observational data, including the Sandage-Loeb test, Strongly gravitationally lensing, observational Hubble data, and Baryon Acoustic Oscillations data. In particular, we consider three cases of dark energy models: the cosmological constant model, which is most favored by current observations, the wCDM model where dark energy is introduced with constant w equation of state parameter and in Chevalier-Polarski-Linder parametrization where ω is allowed to evolve with redshift. With an anisotropy framework, a maximum likelihood method to constrain the cosmological parameters was implemented. With an anisotropic universe, we also study the behavior of different cosmological parameters such as Hubble parameter, EoS parameter, and deceleration parameter of dark energy models mentioned. The results indicate that the Bianchi type I model for the dark energy models are consistent with the combined observational data.

中文翻译：

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具有宇宙学红移漂移的暗能量模型的各向异性宇宙和观测约束

摘要 本研究旨在通过使用观测数据来检验各向异性对各种暗能量模型的影响，包括 Sandage-Loeb 测试、强引力透镜、观测哈勃数据和重子声学振荡数据。特别地，我们考虑了暗能量模型的三种情况：宇宙常数模型，这是当前观测最青睐的，wCDM 模型，其中暗能量被引入状态参数常数 w 方程和 Chevalier-Polarski-Linder 参数化，其中 ω允许随红移演化。使用各向异性框架，实现了约束宇宙学参数的最大似然方法。对于各向异性宇宙，我们还研究了不同宇宙学参数的行为，例如哈勃参数、EoS 参数、和暗能量模型的减速参数。结果表明暗能量模型的Bianchi I型模型与组合观测数据一致。