标题： 宇宙转变时期来自伽马射线暴的相关性 显示英文标题

标题： Cosmological transition epoch from gamma-ray burst correlations

摘要： 过渡时期的红移 $z_t$ 和跃迁参数 $j_t$ 受到两种模型无关方法的限制，这些方法涉及哈勃率的直接展开以及减速参数在 $z=z_t$ 附近的展开。 为了将我们的分析扩展到高红移，我们采用了 \emph{阿马蒂}, \emph{组合}, \emph{米内通功} 和 \emph{Dainotti} 的伽马射线暴相关性。 通过更新的观测哈勃数据的贝济埃插值来校准这些相关性，从而避免了\textit{循环性问题}。 每个伽马暴数据集都通过基于Metropolis-Hastings算法的蒙特卡罗分析与Ia型超新星和重子声波振荡联合拟合，以获得$z_t$、$j_t$和相关参数。 总体结果与一致模型兼容，但有一些例外。 我们还关注暗能量的行为，验证其与宇宙常数的一致性，并将物质密度$\Omega_m$与其一致范式的预期进行了比较。 显示英文摘要

摘要： The redshift $z_t$ and the jerk parameter $j_t$ of the transition epoch are constrained by using two model-independent approaches involving the direct expansion of the Hubble rate and the expansion of the deceleration parameter around $z=z_t$. To extend our analysis to high-redshifts, we employ the \emph{Amati}, \emph{Combo}, \emph{Yonetoku} and \emph{Dainotti} gamma-ray burst correlations. The \textit{circularity problem} is prevented by calibrating these correlations through the B\'ezier interpolation of the updated observational Hubble data. Each gamma-ray burst data set is jointly fit with type Ia supernovae and baryonic acoustic oscillations through a Monte Carlo analysis, based on the Metropolis-Hastings algorithm, to obtain $z_t$, $j_t$ and the correlation parameters. The overall results are compatible with the concordance model with some exceptions. We also focus on the behaviors of the dark energy, verifying its compatibility with a cosmological constant, and the matter density $\Omega_m$ and compare them with the expectations of the concordance paradigm.