Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...435...16e&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 435, no. 1, p. 16-21
Astronomy and Astrophysics
Astronomy
31
Astronomical Models, Cosmology, Gamma Ray Bursts, Luminosity, Red Shift, Gamma Ray Astronomy, Gamma Ray Observatory, Mathematical Models, Spaceborne Astronomy
Scientific paper
The intensity distribution of gamma-ray bursts observed by Burst and Transient Source Experiment (BATSE) is used, in conjunction with an integral moment analysis, to investigate the compatibility of various nonevolving burst luminosity functions phi(L) and burst spectral indices alpha in Friedmann cosmological models containing a general value of the cosmological constant lambda. We find that models with a zero cosmological constant and a burst spectral index of alpha = 2 are consistent with the observational data only if the maximum redshift observed by BATSE is less than zmax = 1.25 (2.1 at the +3 sigma confidence level). Higher limiting redshifts in the standard lambda = 0 model are possible only if alpha is decreased from the observed value of approximately 2 to smaller values less than or approximately 1. One may obtain higher limiting redshifts for values of alpha greater than 2 only in the context of a cosmological model that has a value of the deceleration parameter q0 in the range -1.4 to -3, corresponding to big bang models with a positive cosmological constant. The closer the actual value of the maximum observed redshift is to these limiting zmax values, the narrower must be the width of the function phi(L) which describes the luminosity distribution of the bursts. Models which require bursts to possess a wide range of intrinsic luminosities must therefore have actual limiting redshifts significantly less than the theoretical zmax derived here, yet still be in the range where the model can be considered 'cosmological.' This constraint, combined with earlier work by Horack, Emslie, & Meegan (1994b) on Euclidean source distributions, mandates a positive value for the cosmological constant in any nonevolving scenario which requires gamma-ray bursts to possess a wide range of intrinsic luminosities.
Emslie Gordon A.
Horack John M.
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