The corrected log N-log fluence distribution of cosmological γ-ray bursts

Abstract

Recent analysis of relativistically expanding shells of cosmological γ-ray bursts has shown that if the bursts are cosmological, then most likely total energy (E${}_0$) is standard and not peak luminosity (L${}_0$). Assuming a flat Friedmann cosmology (q${}_0$=1/2, łambda=0) and constant rate density (h̊o${}_0$) 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 E${}_0$=7.3${}_{-}1.0$${}^{+}0.7$×10${}^{5}1$ ergs and discuss implications of this energy for cosmological models of γ-ray bursts.