用高斯过程重构距离对偶关系
Reconstruct the Distance Duality Relation by Gaussian Process
摘要:
本文利用与宇宙模型无关的高斯过程重建了距离对偶关系。总的来说,GP扮演着两个重要角色。一个是形成表示偏离DD关系的$η$趋势,另一个是产生在相同红移处的亮度-距离(LD,$D_{L}$)和角-直径-距离(ADD,$D_{A}$)数据。利用不同光变曲线拟合器(包括MLCS 2K 2和SALT 2)的Ia型超新星数据和不同星系团形态的ADD数据(包括椭圆$β$和球形$β$模型),给出了$η$的形状。与MLCS 2K 2光变曲线拟合器相关的数据的$η$值高于与SALT 2光变曲线拟合器相关的数据。对于星系团的形态,DD关系优于椭圆关系。
英文摘要:
In this letter, the distance-duality (DD) relation is reconstructed by Gaussian process (GP) which is cosmological model-independent. Generally, the GP plays two important roles. One is to shape the $η$ tendency which denotes the deviation from the DD relation, the other one is to produce the luminosity-distance (LD, $D_{L}$) and the angular-diameter-distance (ADD, $D_{A}$) data at the same redshift. The shapes of $η$ are given out based on SNe Ia (Type Ia supernovae) data with different light-curve fitters (including MLCS2K2 and SALT2) and ADD data with different galaxy cluster morphologies (including the elliptical $β$ and spherical $β$ models). The data related to MLCS2K2 light-curve fitter have higher values of $η$ compared to that related to the SALT2 light-curve fitter. As for the morphology of galaxy cluster, the DD relation is favored by the elliptical one.
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