Mathematics – Logic
Scientific paper
May 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994aas...184.1507e&link_type=abstract
American Astronomical Society, 184th AAS Meeting, #15.07; Bulletin of the American Astronomical Society, Vol. 26, p.882
Mathematics
Logic
Scientific paper
We have used a technique based on analysis of normalized integral moments to test the compatibility of various Friedmann cosmological models (including those which admit a cosmological constant Lambda ) with the intensity distribution of gamma--ray bursts observed by BATSE. We find that models with a zero Lambda and a (typical) spectral index alpha = 2 are consistent with the data only if the maximum redshift observed by BATSE is less than 1.25. Higher limiting redshifts are possible only if the bursts have a spectrum much flatter than typically observed, or if they are embedded in a Universe with a positive Lambda . Furthermore, the closer the actual value of the maximum redshift to the limiting values derived, the narrower must be the width of the luminosity distribution function for the bursts. Coupled with a similar result for Euclidean geometries (see the paper by Horack and Emslie elsewhere at this meeting), this result requires that if gamma--ray bursts truly span a wide range of burst luminosities, then they must not only be cosmological in origin, but also must be embedded in a Universe with a positive cosmological constant.
Emslie Gordon A.
Horack John M.
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