2002ApJ...569..682S

A correlation is presented between the pulse lag and the jet-break time for seven BATSE gamma-ray bursts (GRBs) with known redshifts. This is, to the best of our knowledge, the first known direct tight correlation between a property of the gamma-ray burst phase (the pulse lag) and the afterglow phase (the jet-break time). As pulse lag and luminosity have been found to be correlated, this also represents a correlation between peak luminosity and jet-break time. Observed timescales (variability or spectral lags), as well as peak luminosity, naturally have a strong dependence on the Lorentz factor of the outflow, so we propose that much of the variety among GRBs has a purely kinematic origin (the speed or direction of the outflow). We explore a model in which the variation among GRBs is due to a variation in jet opening angles and find that the narrowest jets have the fastest outflows. We also explore models in which the jets have similar morphology and size, and the variation among bursts is caused by variations in viewing angles and/or due to velocity profiles. The relations between luminosity, variability, spectral lag, and jet-break time can be qualitatively understood from models in which the Lorentz factor decreases as a function of angle from the jet axis. One expects to see high luminosities, short pulse lags, and high variability as well as an early jet-break time for bursts viewed on-axis, while higher viewing inclinations will yield lower luminosities, longer pulse lags, smoother bursts, and later jet-break times.