论文标题
$ h_0 $张力还是$ m $高估？
$H_0$ tension or $M$ overestimation?
论文作者
论文摘要
从诸如普朗克任务之类的大型观测值获得的哈勃参数$ h_0^p $的价值与从低红移超级新星（SNE）获得的小规模值$ h_0^r $之间存在很大差异。 The value of the absolute magnitude $M^{Hom}$ used as prior in analyzing observational data is obtained from low-redshift SNe, assuming a homogeneous Universe, but the distance of the anchors used to calibrate the SNe to obtain $M$ would be affected by a local inhomogeneity, making it inconsistent to test the Copernican principle using $M^{Hom}$, since $M$ estimation itself is受当地不均匀性的影响。 我们使用$ m $，$ \ {m^p，m^p，m^r \ \} $的不同值进行分析，对应于$ h_0 $的不同值，$ \ {h_0^p，h_0^p，h_0^r \} $，从$ h_0 $ $ $ m之间获得的距离和$ m $ m的距离，该定义是从模型独立的一致性关系中获得的。我们发现$ m $的价值会强烈影响当地不均匀性的证据。我们分析了万神殿目录中的数据，没有找到使用参数$ \ {m^r，h_0^r \} $的当地不均匀性的显着统计证据，确认了先前的研究，而$ \ {m^p，h_0^p \} $我们找到了$ $ m^r^r^r^r^r^r^r^r^r^r^r^r^r^r^r^r^r^r^r. 具有参数的不均匀模型$ \ {m^p，h_0^p \} $比具有$ \ {m^r，h_0^r \} $的同质模型更适合数据，解决了明显的$ h_0 $张力。使用$ \ {m^p，h_0^p \} $，我们获得了局部不均匀性的证据，其密度对比度$ -0.140 \ pm 0.042 $，最高为$ z_v = 0.056 \ pm 0.0002 $，与最近的Galaxy catalogs分析结果一致。
There is a strong discrepancy between the value of the Hubble parameter $H_0^P$ obtained from large scale observations such as the Planck mission, and the small scale value $H_0^R$, obtained from low redshift supernovae (SNe). The value of the absolute magnitude $M^{Hom}$ used as prior in analyzing observational data is obtained from low-redshift SNe, assuming a homogeneous Universe, but the distance of the anchors used to calibrate the SNe to obtain $M$ would be affected by a local inhomogeneity, making it inconsistent to test the Copernican principle using $M^{Hom}$, since $M$ estimation itself is affected by local inhomogeneities. We perform an analysis of the luminosity distance of low redshift SNe, using different values of $M$, $\{M^P,M^R\}$, corresponding to different values of $H_0$, $\{H_0^P,H_0^R\}$, obtained from the model independent consistency relation between $H_0$ and $M$ which can be derived from the definition of the distance modulus. We find that the value of $M$ can strongly affect the evidence of a local inhomogeneity. We analyze data from the Pantheon catalog, finding no significant statistical evidence of a local inhomogeneity using the parameters $\{M^R,H_0^R\}$, confirming previous studies, while with $\{M^P,H_0^P\}$ we find evidence of a small local void, which causes an overestimation of $M^R$ with respect to $M^P$. An inhomogeneous model with the parameters $\{M^P,H_0^P\}$ fits the data better than a homogeneous model with $\{M^R,H_0^R\}$, resolving the apparent $H_0$ tension. Using $\{M^P,H_0^P\}$, we obtain evidence of a local inhomogeneity with a density contrast $-0.140 \pm 0.042 $, extending up to a redshift of $z_v =0.056 \pm 0.0002$, in good agreement with recent results of galaxy catalogs analysis.
