论文标题
通过高斯工艺来限制电触电引力
Constraining Teleparallel Gravity through Gaussian Processes
论文作者
论文摘要
我们应用高斯流程（GP），以对远程平行的重力及其$ f（t）$扩展构成约束。我们使用（i）Cosmic Chronometers Data（CC）的可用$ H（Z）$观测值； （ii）来自压缩万神殿释放的超新星IA（SN）数据以及烛台和冲突多周期国库计划； （iii）来自斯隆数字天空调查的Baryonic声学振荡（BAO）数据集。对于所涉及的协方差函数，我们考虑了四种广泛使用的选择，即方形指数，凯奇，马特恩和有理二次核，它们彼此在1 $σ$置信水平之内相一致。具体而言，我们使用GP方法来重建对这些内核和数据集组合中的每个内核常数$ H_0 $的独立于模型的确定。这些分析与最近宣布的$ h_0 $的三个文献值相辅相成，即（i）riess $ h_0^{\ rm r} = 74.22 \ pm 1.82 \，{\ rm km \ \，s} （ii）h0licow协作$ h_0^{\ rm hw} = 73.3^{+1.7} _ { - 1.8} \，{\ rm km km \，s}^{ - 1} { - 1} {\ rm mpc}^{ - mpc}^{ - 1} $; （iii）卡内基 - 奇卡哥哈勃计划$ H_0^{\ rm trgb} = 69.8 \ pm 1.9 \，{\ rm km \，s}^{ - 1} {\ rm mpc}^{\ rm mpc}^{ - 1} $。此外，我们通过GP重建的减速参数研究了减速和加速宇宙学相之间的过渡红移。此外，我们重建了状态的暗能量方程的模型无关演变，最后重建了允许的$ f（t）$函数。结果，$λ$ CDM模型在允许的区域内，在所有检查的内核和数据集中以1 $σ$，但是$ f（t）$对$ t $的负坡度略有青睐。
We apply Gaussian processes (GP) in order to impose constraints on teleparallel gravity and its $f(T)$ extensions. We use available $H(z)$ observations from (i) cosmic chronometers data (CC); (ii) Supernova Type Ia (SN) data from the compressed Pantheon release together with the CANDELS and CLASH Multi-Cycle Treasury programs; and (iii) baryonic acoustic oscillation (BAO) datasets from the Sloan Digital Sky Survey. For the involved covariance functions, we consider four widely used choices, namely the square exponential, Cauchy, Matérn and rational quadratic kernels, which are consistent with one another within 1$σ$ confidence levels. Specifically, we use the GP approach to reconstruct a model-independent determination of the Hubble constant $H_0$, for each of these kernels and dataset combinations. These analyses are complemented with three recently announced literature values of $H_0$, namely (i) Riess $H_0^{\rm R} = 74.22 \pm 1.82 \,{\rm km\, s}^{-1} {\rm Mpc}^{-1}$; (ii) H0LiCOW Collaboration $H_0^{\rm HW} = 73.3^{+1.7}_{-1.8} \,{\rm km\, s}^{-1} {\rm Mpc}^{-1}$; and (iii) Carnegie-Chicago Hubble Program $H_0^{\rm TRGB} = 69.8 \pm 1.9 \,{\rm km\, s}^{-1} {\rm Mpc}^{-1}$. Additionally, we investigate the transition redshift between the decelerating and accelerating cosmological phases through the GP reconstructed deceleration parameter. Furthermore, we reconstruct the model-independent evolution of the dark energy equation of state, and finally reconstruct the allowed $f(T)$ functions. As a result, the $Λ$CDM model lies inside the allowed region at 1$σ$ in all the examined kernels and datasets, however a negative slope for $f(T)$ versus $T$ is slightly favored.
