A cosmological independent calibration of the Ep,i-Eiso correlation for Gamma Ray Bursts

Understand

The relation connecting the emitted isotropic energy and the rest-frame peak energy of the \nuF\nu spectra of Gamma-Ray Bursts (the Amati relation), strictly depends on the cosmological model, so we need a method to obtain an independent calibration of it.

• Using the Union Supernovae Ia catalog, we obtain a cosmographic luminosity distance in the y-redshift and demonstrate that this parametrization approximates very well the fiducial standard comsomlogical model \LambdaCDM.
• Furthermore, by this cosmographic luminosity distance dl, it is possible to achieve the Amati relation independent on the cosmological model.
• The cosmographic Amati relation that we obtain agrees, in the errors, with other cosmological-independent calibrations proposed in the literature.