几何与生长之间的联系对$Ω_m$和$H(z)$的模型独立约束
Model-independent constraints on $Ω_m$ and $H(z)$ from the link between geometry and growth
摘要：
我们约束宇宙的膨胀历史和宇宙学的物质密度分数在一个独立的模型的方式，专门利用背景和扰动之间的关系下的最小的一组假设。我们这样做是通过采用高斯过程来模拟宇宙从现在到重组时代的膨胀历史。膨胀的历史和宇宙学的物质密度，然后约束使用最近的测量从宇宙计时器，Ia型超新星，重子声学振荡，和红移空间失真数据。我们的研究结果表明，在重建的膨胀历史的演变是兼容的\textit{Planck} 2018预测在所有的红移。本研究中考虑的当前数据可以将$H(z)$上的高斯过程约束到整个红移的平均$9.4 \%$精度。我们发现$Ω_m = 0.224 \pm 0.066$，较低，但统计上与\textit{Planck} 2018宇宙学兼容。最后，结合未来的DESI测量与CMB测量考虑在这项工作中的承诺，$8 \%$平均约束的模型无关的扩展历史，以及五倍更严格的$Ω_m$约束使用的方法在这项工作中开发的。
英文摘要：
We constrain the expansion history of the Universe and the cosmological matter density fraction in a model-independent way by exclusively making use of the relationship between background and perturbations under a minimal set of assumptions. We do so by employing a Gaussian process to model the expansion history of the Universe from present time to the recombination era. The expansion history and the cosmological matter density are then constrained using recent measurements from cosmic chronometers, Type-Ia supernovae, baryon acoustic oscillations, and redshift-space distortion data. Our results show that the evolution in the reconstructed expansion history is compatible with the \textit{Planck} 2018 prediction at all redshifts. The current data considered in this study can constrain a Gaussian process on $H(z)$ to an average $9.4 \%$ precision across redshift. We find $Ω_m = 0.224 \pm 0.066$, lower but statistically compatible with the \textit{Planck} 2018 cosmology. Finally, the combination of future DESI measurements with the CMB measurement considered in this work holds the promise of $8 \%$ average constraints on a model-independent expansion history as well as a five-fold tighter $Ω_m$ constraint using the methodology developed in this work.
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