Extending the correlation of L R − L X to gamma-ray bursts

The well-known correlation between radio luminosity ( L R ) and X-ray luminosity ( L X ), L R / L X ≈ 10 −5 , holds for a variety of objects, such as active galactic nuclei, Galactic black holes, solar flares and cool stars. Here we extend the relation to gamma-ray bursts (GRBs) and find that the GRBs also obey a similar L R − L X relation, with a slightly different slope of L R ∝ L X 1.1 . This relation implies that the explosions that occur on different scales may have a common underlying origin.