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Title: Luminosity function of GRBs
Authors: Sethi, S.K.
Bhargavi, S.G.
Keywords: gamma rays
bursts cosmology
Issue Date: Sep-2001
Publisher: EDP Sciences
Citation: Astronomy and Astrophysics, 2001, Vol.376, p10-16
Abstract: We attempt to constrain the luminosity function of Gamma Ray Bursts (GRBs) from the observed number count-flux relation and the afterglow redshift data. We assume three classes of luminosity functions for our analysis: (a) Log-normal distribution, (b) Schechter distribution, and (c) Scale-free distribution. We assume several models of the evolution of the GRB population for each luminosity function. Our analysis shows that: (a) log-normal is the only luminosity function that is compatible with both the observations. This result is independent of the GRB evolution model, (b) for log-normal function, the average photon luminosity L0 and the width of the luminosity function sigma that are compatible with both the observations fall in the range: 1055 s-1 <~ L0 <~ 1056 s-1 and 2 <~ sigma <~ 3, (c) the agreement of observations with other luminosity functions requires the GRB population to evolve more strongly than the evolution of the star-formation rate of the universe.
Description: Open Access
ISSN: 0004-6361
1432-0746 (Online)
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Copyright: 2001 EDP Sciences
Appears in Collections:Research Papers (A&A)

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