Kinematic constraints beyond $z\simeq0$ using calibrated GRB correlations

Understand

The dynamics of the Universe are revised using high-redshift data from gamma-ray bursts to constrain cosmographic parameters by means of model-independent techniques.

• Considering samples from four gamma-ray burst correlations and two hierarchies up to $j_0$ and $s_0$, respectively, we derived limits over the expansion history of the Universe.
• Since cosmic data span outside $z\simeq0$, we investigated additional cosmographic methods such as auxiliary variables and Pad\'e approximations.
• Bezi\'er polynomials were employed to calibrate our correlations and heal the circularity problem.