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Galaxies 2016, 4(4), 57; doi:10.3390/galaxies4040057

The Truncated Lognormal Distribution as a Luminosity Function for SWIFT-BAT Gamma-Ray Bursts

Physics Department, Via P. Giuria 1, I-10125 Turin, Italy
Academic Editor: Emilio Elizalde
Received: 20 May 2016 / Revised: 12 September 2016 / Accepted: 18 October 2016 / Published: 1 November 2016
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Abstract

The determination of the luminosity function (LF) in Gamma ray bursts (GRBs) depends on the adopted cosmology, each one characterized by its corresponding luminosity distance. Here, we analyze three cosmologies: the standard cosmology, the plasma cosmology and the pseudo-Euclidean universe. The LF of the GRBs is firstly modeled by the lognormal distribution and the four broken power law and, secondly, by a truncated lognormal distribution. The truncated lognormal distribution fits acceptably the range in luminosity of GRBs as a function of the redshift. View Full-Text
Keywords: cosmology; observational cosmology; distances, redshifts, radial velocities and spatial distribution of galaxies cosmology; observational cosmology; distances, redshifts, radial velocities and spatial distribution of galaxies
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Zaninetti, L. The Truncated Lognormal Distribution as a Luminosity Function for SWIFT-BAT Gamma-Ray Bursts. Galaxies 2016, 4, 57.

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