Estimating redshifts for gamma-ray bursts

A test of distances to gamma-ray bursters is described that might be done with data from the BATSE experiment on the Gamma Ray Observatory. The test is equivalent to the formulation of the Hubble diagram for galactic redshifts. If the typical redshift of gamma-ray bursters is of the order of unity, the weakest bursts should have softer spectra than the strongest. There is some evidence for such a correlation in the BATSE data. If confirmed, this would provide the first spectroscopic indication that the burst sources lie at cosmological distances. There is also evidence that the redshift effect has been detected in the duration of a subset of the BATSE bursts. If confirmed, this could be evidence that not only the photons but also the light curves are stretched by the cosmological redshift.