A cosmographic calibration of the Ep,i - Eiso (Amati) relation for GRBs

Mathematics – Logic

Scientific paper

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Distance Scale, Cosmological Parameters, Gamma-Rays Bursts: General

Scientific paper

Aims: The Amati relation, which connects the isotropic energy emitted and the rest-frame peak energy of the νFν spectra of GRBs, is cosmology-dependent, so we need a method to obtain an independent calibration of the Amati relation. Methods: Using the Union Supernovae Ia catalog, we obtain a cosmographic luminosity distance in the y-redshift and verify that this parameterization very well approximates the fiducial standard cosmological model ΛCDM. Using this cosmographic luminosity distance dl, we compute the Amati relation considering this cosmology-independent definition of dl. Results: The cosmographic Amati relation we obtain agrees in the errors with other cosmology-independent calibrations proposed in the literature.

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