The truncated lognormal distribution as a luminosity function for SWIFT-BAT gamma-ray bursts

TL;DR

This paper compares different cosmological models and evaluates various luminosity functions, finding that a truncated lognormal distribution effectively models gamma-ray burst luminosities across redshifts.

Contribution

It introduces the truncated lognormal distribution as a new, effective luminosity function model for GRBs across multiple cosmologies.

Findings

Truncated lognormal fits GRB luminosity range well across redshifts.

Comparison of standard, plasma, and pseudo-Euclidean cosmologies.

Evaluation of lognormal and broken power law models.

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 analyse 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.