Mathematics – Logic
Scientific paper
Aug 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996aipc..384..512q&link_type=abstract
Gamma-ray bursts: 3rd Huntsville symposium. AIP Conference Proceedings, Volume 384, pp. 512-516 (1996).
Mathematics
Logic
Gamma-Ray Sources, Gamma-Ray Bursts, Observational Cosmology, Mathematical Procedures And Computer Techniques
Scientific paper
If γ-ray bursts have a cosmological origin, the sources are expected to trace the large-scale structure of luminous matter in the universe. I use a new likelihood method that compares the counts-in-cells distribution of γ-ray bursts in the BATSE 3B catalog with that expected from the known large-scale structure of the universe, in order to place a constraint on the distance scale to cosmological bursts. I find, at the 95% confidence level, that the comoving distance to the ``edge'' of the burst distribution is greater than 630 h-1 Mpc (z>0.25), and that the nearest burst is farther than 40 h-1 Mpc. The median distance to the nearest burst is 170 h-1 MPc, implying that the total energy released in γ-rays during a burst event is of order 3×1051 h-2 erg. None of the bursts that have been observed by BATSE are in nearby galaxies, nor is a signature from the Coma cluster or the ``Great Wall'' likely to be seen in the data at present.
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