The Corrected Log N-Log Fluence Distribution of Cosmological Gamma-Ray Bursts
Abstract
Recent analysis of relativistically expanding shells of cosmological gamma-ray bursts has shown that if the bursts are cosmological, then most likely total energy (E0) is standard and not peak luminosity (L0). Assuming a flat Friedmann cosmology (qo = 1/2, Lambda = 0) and constant rate density (rho0) of bursting sources, we fit a standard candle energy to a uniformly selected log N-log S in the BATSE 3B catalog correcting for fluence efficiency and averaging over 48 observed spectral shapes. We find the data consistent with E0 = 7.3+0.7-1.0 X 1051 ergs and discuss implications of this energy for cosmological models of gamma-ray bursts.
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