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