# Revisiting the statistical isotropy of GRB sky distribution

## TL;DR

This study tests the large-scale isotropy of gamma-ray burst distributions using two-point correlation functions, finding no significant anisotropy once positional uncertainties are considered, challenging previous claims.

## Contribution

It provides a revised analysis of GRB sky distribution, accounting for positional uncertainties, and confirms isotropy in contrast to earlier reports of anisotropy.

## Key findings

- No significant anisotropy detected after accounting for uncertainties
- Isotropy holds for both long and short GRBs
- Positional uncertainties can induce spurious anisotropic signals

## Abstract

The assumption of homogeneity and isotropy on large scales is one of the main hypotheses of the standard cosmology. In this paper, we test the hypothesis of isotropy from the two-point angular correlation function of 2626 gamma-ray bursts (GRB) of the FERMI GRB catalogue. We show that the uncertainties in the GRB positions induce spurious anisotropic signals in their sky distribution. However, when such uncertainties are taken into account no significant evidence against the large-scale statistical isotropy is found. This result remains valid even for the sky distribution of short-lived GRB, contrarily to previous reports.