论文标题
从哈勃到快照参数：高斯过程重建
From Hubble to Snap Parameters: A Gaussian Process Reconstruction
论文作者
论文摘要
通过使用最近的$ h（z）$和sne ia数据，我们使用独立于模型的，非参数方法（即高斯流程）重建运动学参数的演变$ h（z）$，$ q（z）$，jerk和snap。在当前的整个分析中，我们允许基于Planck 18 [1]的约束来先验空间曲率。对于SNE IA，我们修改了Python软件包（GAPP）[2]，以获得函数的第四个导数的重建，从而允许我们从共同的距离中获取快照。此外，使用一种重要性采样方法，我们结合了$ h（z）$和sne ia重建，以找到运动参数的关节约束。我们发现参数的当前值：$ h_0 = 67.2 \ pm 6.2 $ km/s/mpc，$ q_0 = -0.60^{+0.21} _ { - 0.18} $，$ J_0 = 0.90 = 0.90 = 0.90^{+0.75} $ s_0 = -0.57^{+0.52} _ { - 0.31} $ at 1 $σ$ c.l.我们发现这些重建与Flat $λ$ CDM型号的预测兼容，至少在2 $σ$置信区间。
By using recent $H(z)$ and SNe Ia data, we reconstruct the evolution of kinematic parameters $H(z)$, $q(z)$, jerk and snap, using a model-independent, non-parametric method, namely, the Gaussian Processes. Throughout the present analysis, we have allowed for a spatial curvature prior, based on Planck 18 [1] constraints. In the case of SNe Ia, we modify a python package (GaPP) [2] in order to obtain the reconstruction of the fourth derivative of a function, thereby allowing us to obtain the snap from comoving distances. Furthermore, using a method of importance sampling, we combine $H(z)$ and SNe Ia reconstructions in order to find joint constraints for the kinematic parameters. We find for the current values of the parameters: $H_0 =67.2 \pm 6.2$ km/s/Mpc, $q_0 = -0.60^{+0.21}_{-0.18}$, $j_0=0.90^{+0.75}_{-0.65}$, $s_0=-0.57^{+0.52}_{-0.31}$ at 1$σ$ c.l. We find that these reconstructions are compatible with the predictions from flat $Λ$CDM model, at least for 2$σ$ confidence intervals.
