Absolute Rate, Evolving Luminosity function, and Evolving Jet Opening Angle Distribution for Long Gamma-Ray Bursts

Abstract

Using the luminosity function and the apparent GRB rate inferred from the spectral peak energy-luminosity relation, we investigate the absolute GRB formation rate, taking into account the effects of both the jet-luminosity evolution and the jet opening angle evolution. In the case that there is no jet opening angle evolution, the jet-corrected luminosity for high-redshift GRBs is much larger than typical values for low-z (z>~1) bursts. On the other hand, if the jet-luminosity does not evolve with time, the jet opening angle for high-z bursts should be much smaller than that for low-z GRBs. Therefore, it is preferable to take into account both evolution effects. We also estimate the local GRB event rate in a galaxy of ~10^{-7}-10^{-5}/yr.

11 pages, 6 figures, published in PTP

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• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Theories of Gamma-Ray Bursts
• The Fourth BATSE Gamma-Ray Burst Catalog (Revised)
• Probing the Cosmic Reionization History and Local Environment of Gamma-Ray Bursts through Radio Dispersion
• Are there cosmological evolution trends on Gamma-Ray Burst features?
• A possible observational evidence for ${\theta }^{-2}$ angular distribution of opening half-angle of GRB jets

Cited by in corpus (7)

• The luminosity function and the rate of Swift's Gamma Ray Bursts
• Constraints on Type Ib/c and GRB Progenitors
• Collapse of rotating stars in the Universe and the cosmic gamma ray bursts
• Selection Effects on the Observed Redshift Dependence of GRB Jet Opening Angles
• Research on the redshift evolution of luminosity function and selection effect of GRBs
• Gravitational Wave Memory from the Relativistic Jet of Gamma-Ray Bursts
• GRBs luminosity function synthesized from \textit{Swift/BAT}, \textit{Fermi/GBM} and \textit{Konus-Wind} data