Cosmological transition epoch from gamma-ray burst correlations

Understand

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.