ar X iv : a st ro - p h / 97 12 13 4 v 1 9 D ec 1 99 7 The Redshift of GRB 970508 Daniel

GRB 970508 is the second gamma-ray burst (GRB) for which an optical afterglow has been detected. It is the first GRB for which a distance scale has been determined: absorption and emission features in spectra of the optical afterglow place GRB 970508 at a redshift of z ≥ 0.835 [1,2]. The lack of a Lyman-α forest in these spectra further constrains this redshift to be less than z ∼ 2.1. I show that the spectrum of the optical afterglow of GRB 970508, once corrected for Galactic absorption, is inconsistent with the relativistic blast-wave model unless a second, redshifted source of extinction is introduced. This second source of extinction may be the yet unobserved host galaxy. I determine its redshift to be z = 1.09 −0.41, which is consistent with the observed redshift of z = 0.835. Redshifts greater than z = 1.40 are ruled out at the 3 σ confidence level.