Gamma-Ray Burst Luminosity Functions Based on Luminosity Criteria

Astronomy and Astrophysics – Astrophysics

Scientific paper

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4 pages, 3 figures, contribution for Rome 2002 GRB Workshop

Scientific paper

We review five studies of the gamma-ray burst (GRB) luminosity function that are based on one or more of the proposed luminosity criteria, i.e., variability, spectral lag and spectral hardness. A comparison between the resulting luminosity functions at redshift zero shows considerable divergence. We derive for each of the luminosity functions the expected source counts and the Euclidean value of . The source counts exhibit large differences from the observed counts. In most cases the value of differs substantially from the observed value of 0.34 for BATSE-based samples, with offsets ranging from 6-24 sigmas. Given that the value of is well established and that it is a cosmological distance indicator, we recommend that any study of the GRB luminosity function take its value into account.

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