图隆几何与Ia型超新星数据中的参数约束
Thurston geometries and parameter constraints from SNIa data
AI总结：
本文利用Ia型超新星数据，探讨了图隆几何在约束宇宙各向异性方面的应用，并发现大规模各向同性违反的轻微证据。
摘要：
在精确宇宙学时代，随着大规模宇宙各向同性违反证据的出现，我们探讨了将平坦ΛCDM模型扩展到更一般模型以约束宇宙各向异性可能的优势，这在标准模型基于FLRW时空的情况下是不存在的。此类扩展由拓扑上独特的图隆几何提供，它们是各向同性但各向异性的时空模型。在本工作中，我们通过在不同方向上引入不同的标度因子来区分图隆几何，从而引入额外的模型参数，如剪切、 eccentricity、曲率和一个优先轴。我们使用了最新编译的Pantheon+和SH0ES Ia型超新星数据集来推导模型约束，并发现了大规模各向同性违反的轻微证据。
英文摘要：
Following the numerous evidence for large-scale cosmic isotropy violation with the advent of the `precision cosmology' era, we explore the possible advantages of extending the flat $Λ$CDM model to more general models in order to constrain anisotropies in the universe, otherwise absent in the standard model based on FLRW spacetime. Such extensions are offered by the topologically unique Thurston geometries, which are homogeneous but anisotropic spacetime models. In this work, we attempt to distinguish Thurston geometries from one another by introducing anisotropies via different scale factors in different directions, thereby introducing additional model parameters such as shear, eccentricity, curvature, and a preferred axis. We used the latest compilation of Pantheon+ \& SH0ES Type Ia supernova data for deriving model constraints, and found mild evidence of large-scale isotropy violation.
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