Gamma-Ray Bursts and the Cosmic Star Formation Rate

We have tested several models of gamma-ray burst (GRB) luminosity and redshift distribution functions for compatibility with the BATSE 4B number versus peak flux relation. Our results disagree with recent claims that current GRB observations can be used to constrain strongly the cosmic star formation history. Instead, we find that relaxing the assumption that GRBs are standard candles renders a very broad range of models that are consistent with the BATSE number-flux relation. We explicitly construct two sample distributions, one tracing the star formation history and one with a constant comoving density. We show that both distributions are compatible with the observed fluxes and redshifts of the bursts GRB 970508, GRB 971214, and GRB 980703, and we discuss the measurements required to distinguish the two models.

[1]  R. Wagoner,et al.  Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity , 1973 .

[2]  D. Palmer,et al.  BATSE observations of gamma-ray burst spectra. I: Spectral diversity , 1993 .

[3]  S. Djorgovski,et al.  Identification of a host galaxy at redshift z = 3.42 for the γ-ray burst of 14 December 1997 , 1998, Nature.

[4]  F. Duccio Macchetto,et al.  UvA-DARE ( Digital Academic Repository ) Observations of GRB 970228 and GRB 970508 and the neutron star merger model , 1997 .

[5]  T. Totani.  Cosmological Gamma-Ray Bursts and Evolution of Galaxies , 1997, astro-ph/9707051.

[6]  Joshua S. Bloom,et al.  Gamma-ray bursts from stellar remnants - Probing the universe at high redshift , 1998 .

[7]  Inferring the Spatial and Energy Distribution of Gamma Ray Burst Sources. III. Anisotropic Models , 1997, astro-ph/9701111.

[8]  P. Mészáros,et al.  Cosmological Brightness Distribution FITS of Gamma-Ray Burst Sources , 1995, astro-ph/9507053.

[9]  A. Emslie,et al.  Compatibility of the BATSE Gamma-Ray Burst Data with General Friedmann Cosmological Models , 1994 .

[10]  S. Djorgovski,et al.  Spectral constraints on the redshift of the optical counterpart to the γ-ray burst of 8 May 1997 , 1997, Nature.

[11]  S. Woosley.  Gamma-ray bursts from stellar mass accretion disks around black holes , 1993 .

[12]  B. Paczyński.  Gamma-ray bursters at cosmological distances , 1986 .

[13]  R. Preece,et al.  Luminosity Distributions of Cosmological Gamma-Ray Bursts , 1996 .

[14]  J. E. Glynn,et al.  Numerical Recipes: The Art of Scientific Computing , 1989 .

[15]  L. Hui,et al.  Standard cosmology and the BATSE number versus peak flux distribution , 1995, astro-ph/9510055.

[16]  W. Paciesas,et al.  Effects of Spectral Shape on Cosmological Models of the BATSE Gamma-Ray Burst Intensity Distribution , 1996 .