paper

The Cosmological Signatures and Flux Distribution of Gamma-Ray Bursts with a Broad Luminosity Distribution

arXiv:astro-ph/9707122 · doi:10.1086/304585

Abstract

The cosmological expansion cannot produce the reported correlations of the gamma-ray burst timescale and spectral energy with peak flux if the burst model reproduces the BATSE 3B peak-flux distribution for a non-evolving burst source density. Power law luminosity distribution models proportional to L^{-beta} produce acceptables fits to the data for most values of the spectral parameters when beta < 1.6. In this model, gamma-ray bursts of a given peak flux have a distribution of redshifts, with a maximum redshift of > 3 for peak fluxes near the BATSE threshold, and with an average redshift of < 1 for all values of peak flux. The reported correlations of the burst timescale and the spectral energy with peak flux are systematically 1 standard deviation above the monoluminous model and 1.5 to 2 standard deviation above the power-law luminosity model. These results suggest that an intrinsic correlation of burst timescale and spectral energy with luminosity is present.

38 pages with embedded figures. To appear in ApJ on Sept. 20, 1997. Minor errors corrected August 16, 1997

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