从当前观测数据对拉斯特尔引力（Rastall gravity）的约束
Constraints on Rastall gravity from current observational data
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中文总结 AI 辅助
该研究探究拉斯特尔引力的宇宙学特征，对比多种观测数据发现其结构增长低于ΛCDM模型，且存在哈勃张力。
中文摘要 AI 辅助
我们研究拉斯特尔引力的宇宙学特征，在弯曲时空中，其协变能量-动量守恒被修改为∇_μT^μ_ν=λ∇_νR。为此，我们得到拉斯特尔模型在扰动线性阶下的修正场方程，随后在拉斯特尔引力框架内考察宇宙学可观测量的演化行为，主要包括物质功率谱和哈勃参数。我们还将拉斯特尔模型与宇宙学探针（即宇宙微波背景、弱引力透镜、超新星、重子声学振荡及红移空间畸变数据）进行对比。根据数值结果，与ΛCDM模型相比，拉斯特尔引力更倾向于结构的较低增长，这表明其与低红移大尺度结构探针一致。此外，数值分析显示，将宇宙学常数作为暗能量组分的拉斯特尔引力，与ΛCDM模型一样存在哈勃张力问题。
英文摘要
We study the cosmological features of Rastall gravity, where the covariant energy-momentum conservation is modified to $\nabla_μT^μ_ν=λ\nabla_νR$ in curved spacetime. For this purpose, we obtain the modified field equations of Rastall model to linear order of perturbations, and then inspect the evolutionary behavior of cosmological observables, chiefly the matter power spectrum and the Hubble parameter, within the context of Rastall gravity. We also compare Rastall model with cosmological probes, namely cosmic microwave background, weak lensing, supernovae, baryon acoustic oscillations, and redshift-space distortions data. According to our numerical results, Rastall gravity prefers lower growth of structures compared to the $Λ$CDM model, which indicates consistency with low-redshift large-scale structure probes. Moreover, numerical analysis reveals that Rastall gravity with a cosmological constant as the dark energy component suffers from the Hubble tension, like the $Λ$CDM model.
