Luminosity and Variability of Collimated Gamma-Ray Bursts

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gamma-Ray Sources, Gamma-Ray Bursts

Scientific paper

Within the framework of the internal shock model, we study luminosity and variability in gamma-ray bursts from collimated fireballs. In particular we pay attention to the role of photosphere due to e+/- pairs produced by internal shock synchrotron photons. It is shown that the observed Cepheid-like relationship between luminosity and variability can be interpreted as a correlation between opening angle of the fireball jet and mass included at the explosion with a standard energy output. We also show that such a correlation can be a natural consequence of the collapsar model. Using a multiple-shell model, we numerically calculate the temporal profiles of gamma-ray bursts. Highly collimated jets, in which the typical Lorentz factors are higher than in wider jets, can produce more variable temporal profiles due to smaller angular spreading time scales at the photosphere radius. Our simulations reproduce the observed correlation.

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