Extending the Correlation of $L_R - L_X$ to Gamma Ray Bursts

TL;DR

This paper extends the known correlation between radio and X-ray luminosities to gamma-ray bursts, suggesting a universal underlying mechanism across diverse astrophysical phenomena.

Contribution

It demonstrates that gamma-ray bursts follow the same $L_R-L_X$ relation as other objects, with a slightly different slope, indicating a common origin.

Findings

GRBs follow the $L_R-L_X$ relation with a slope of 1.1

The $L_R-L_X$ correlation extends to gamma-ray bursts

Implicates a universal mechanism for explosive phenomena

Abstract

The well-known correlation between the radio luminosity ($L_R$) and the X-ray luminosity ($L_X$) $L_R / L_X \simeq 10^{-5}$ holds for a variety of objects like active galactic nuclei, galactic black holes, solar flares and cool stars. Here we extend the relation to gamma-ray bursts (GRBs), and find the GRBs also lay on the same $L_R-L_X$ relation, with a slightly different slope as $L_R \propto L_X^{1.1}$. This relation implies the explosions in different scales may have a common underlying origin.