Cosmology with Gamma-Ray Bursts Using k-correction

TL;DR

This paper discusses how to compute the k-correction for Gamma-Ray Bursts with known redshift to determine their true energy output, aiding cosmological measurements like estimating the Universe's matter density and constructing a GRB-based Hubble diagram.

Contribution

It introduces a method to calculate the k-correction for GRBs using spectral parameters from the GCN database, enabling more accurate cosmological analyses.

Findings

Calculated k-corrections improve energy estimates for GRBs.

The method facilitates using GRBs for cosmological parameter estimation.

Potential to refine the GRB Hubble diagram with corrected energies.

Abstract

In the case of Gamma-Ray Bursts with measured redshift, we can calculate the k-correction to get the fluence and energy that were actually produced in the comoving system of the GRB. To achieve this we have to use well-fitted parameters of a GRB spectrum, available in the GCN database. The output of the calculations is the comoving isotropic energy E_iso, but this is not the endpoint: this data can be useful for estimating the {\Omega}M parameter of the Universe and for making a GRB Hubble diagram using Amati's relation.