论文标题
使用高斯工艺进行宇宙曲率的无效测试
Null test for cosmic curvature using Gaussian process
论文作者
论文摘要
确定宇宙空间几何形状的宇宙曲率$ω_{K，0} $是现代宇宙学的重要参数。与$ω_{K，0} = 0 $的任何偏差都会对原始通货膨胀范式和基本物理产生深远的影响。在这项工作中，我们采用了一种独立于宇宙模型的方法来测试$ω_{k，0} $是否偏离零。我们使用高斯进程来重建减少的哈勃参数$ e（z）$和距离$ d'（z）$的导数，然后确定$ω__{k，0} $，并具有无效的测试关系。考虑了宇宙天文钟（CC）哈勃数据，Baryon声学振荡（BAO）哈勃数据和超新星Pantheon样品。我们的结果与重建域内的空间平坦宇宙一致，$ 0 <z <2.3 $，$1σ$置信度。在红移间隔$ 0 <z <1 $中，结果有利于平坦的宇宙，而在$ z> 1 $的情况下，它倾向于偏爱封闭的宇宙。从这个意义上讲，封闭的宇宙仍然有可能。我们还使用模拟的重力波标准警报器，CC+BAO和RedShift Drift Hubble数据进行了$ 0 <z <4.5 $的宇宙曲率的无效测试。结果表明，在将来，通过多个高质量观测的协同作用，我们可以严格限制空间几何形状或排除平坦的宇宙。
The cosmic curvature $Ω_{K,0}$, which determines the spatial geometry of the universe, is an important parameter in modern cosmology. Any deviation from $Ω_{K,0}=0$ would have a profound impact on primordial inflation paradigm and fundamental physics. In this work, we adopt a cosmological model-independent method to test whether $Ω_{K,0}$ deviates from zero. We use the Gaussian process to reconstruct the reduced Hubble parameter $E(z)$ and the derivative of distance $D'(z)$ from observational data, and then determine $Ω_{K,0}$ with a null test relation. The cosmic chronometer (CC) Hubble data, baryon acoustic oscillation (BAO) Hubble data, and supernovae Pantheon sample are considered. Our result is consistent with a spatially flat universe within the domain of reconstruction $0<z<2.3$, at the $1σ$ confidence level. In the redshift interval $0<z<1$, the result favors a flat universe, while at $z>1$, it tends to favor a closed universe. In this sense, there is still a possibility for a closed universe. We also carry out the null test of the cosmic curvature at $0<z<4.5$ using the simulated gravitational wave standard sirens, CC+BAO and redshift drift Hubble data. The result shows that in the future, with the synergy of multiple high-quality observations, we can tightly constrain the spatial geometry or exclude the flat universe.
