论文标题
非平板宇宙学中伽马射线爆发和宇宙约束的中间红移校准
Intermediate redshift calibration of Gamma-ray Bursts and cosmic constraints in non-flat cosmology
论文作者
论文摘要
我们建议如何使用中间红移数据集校准长伽马射线爆发（GRB）相关性，而不是将$ z \ simeq0 $目录限制为目录。为此，我们检查了最新更新的观察性哈勃数据（OHD）和重型声音振荡（BAO）。我们利用了贝齐尔多项式插值的模型无关技术，从而减轻了影响GRB相关性的众所周知的循环问题。为了获得对宇宙参数的限制，使用马尔可夫链蒙特卡洛大都会算法，我们区分了对BAO量表的影响，$ r _ {\ rm s} $，hubble常数$ h_0 $，光度距离$ d _ {\ rm lm l}（z）$和Spatial curvature $ $ $ d _受到以下事实的启发：$ r _ {\ rm s} $的几个0.4 $ \％$错误是从普朗克结果获得的，与当前的BAO测量错误相比，我们完全很小，我们辨别两个主要情况，即$（r _ {\ rm s}}/rm s}/r _ { s}/r _ {\ rm s}^{\ rm fid}）\ neq1 $。对于每次发生，我们首先修复，然后将释放宇宙的空间曲率留下。在我们的所有处理中，我们都利用良好的固结\ textit {amati}相关性，比以前的文献相比，对质量密度的限制更加严格。特别是，我们的发现与获得的$λ$ CDM范式具有与标准蜡烛指标的$λ$ CDM范式相兼容。最后，鉴于我们的成果，我们重新检查了最近的$ H_0 $张力。
We propose how to calibrate long gamma-ray burst (GRB) correlations employing intermediate redshift data sets, instead of limiting to $z\simeq0$ catalogs. To do so, we examine the most updated observational Hubble data (OHD) and baryonic acoustic oscillations (BAO). We exploit the model-independent technique of Bézier polynomial interpolation, alleviating de facto the well-known circularity problem affecting GRB correlations. To get constraints on cosmic parameters, using Markov chain Monte Carlo Metropolis algorithm, we distinguish the influence on BAO scale, $r_{\rm s}$, Hubble constant $H_0$, luminosity distance $D_{\rm L}(z)$ and spatial curvature $Ω_k$. Inspired by the fact that a few 0.4$\%$ error on $r_{\rm s}$ is got from Planck results, utterly small compared with current BAO measurement errors, we discern two main cases, namely $(r_{\rm s}/r_{\rm s}^{\rm fid})=1$ and $(r_{\rm s}/r_{\rm s}^{\rm fid})\neq1$. For each occurrence, we first fix and then leave free the Universe's spatial curvature. In all our treatments, we make use of the well-consolidated \textit{Amati} correlation, furnishing tighter constraints on the mass density than previous literature. In particular, our findings turn out to be highly more compatible with those got, adopting the $Λ$CDM paradigm, with standard candle indicators. Finally, we critically re-examine the recent $H_0$ tension in view of our outcomes.
