Constraining the luminosity function of GRBs from time dilation, brightness distribution and redshift data

Mathematics – Logic

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Gamma-Ray Sources, Gamma-Ray Bursts, Distances, Redshifts, Radial Velocities, Spatial Distribution Of Galaxies, Cosmic Rays, Observational Cosmology

Scientific paper

We constrain the luminosity function of gamma ray bursts (GRBs) by testing several cosmological models versus a combination of (a) observed time dilation in the peak-to-peak time scales of GRB light curves, (b) the LogN-LogP number counts relation, and (c) GRB luminosities directly determined from recent redshift measurements and apparent GRB brightness. A power law luminosity function φ(L)=C.L-β (Lmin100 at the 1 σ level; (c) the intrinsic average luminosity is found to be 2~6×1051 ergs.s-1 at the 3σ level, this implies that bursts at the BATSE 100% efficiency threshold have typical red shifts of =2~3. .

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