Mathematics – Logic
Scientific paper
Sep 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010a%26a...519a..73c&link_type=abstract
Astronomy and Astrophysics, Volume 519, id.A73
Mathematics
Logic
9
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.
Capozziello Salvatore
Izzo Luca
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