The Redshift Distribution of Gamma-Ray Burst and its Implication to the Universe

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Gamma-ray bursts (GRBs) are the most energetic explosions found ever in the universe and produce huge amounts of energy in gamma-rays over a short time period ranging from a few milliseconds to thousands of seconds. The peak luminosity, peak fluence and the redshift distribution of recent long gamma-ray bursts (GRBs) were predicted through the Monte Carlo simulations. The GRB LF and redshift distribution are constructed in the frameworks of different evolution models using the maximum likelihood method. GRB were related to the rate of formation of stars. This analysis contained some parameters such as the peak energy distribution of bright swift bursts. Integrations and derivatives were done by the ExceLab 365. In this work we have seen that the luminosity function is distributed mostly around 4.8E+51 ergs/sec. The SFR of long GRB were in to three groups:1. The SFR increased up to some point of z and became decrease after some points z, 2. the SFR increased up to some point and became constant after some point, and the last the SFR increased constantly in any given value of z. We have calculated the comoving rate of gamma ray burst and the star formation rate of GRB by relating it to the long GRB explosion of supernova type II. And also, we have evaluated the observed peak fluence, flux and luminosity distance of the long GRB.

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