B. E. Stern
Time Variability of Gamma-Ray Bursts: A Search for a Unifying Law



The temporal properties of gamma-ray bursts (GRBs) are reviewed. The averaged peak-aligned time profile of GRBs is shown to follow a stretched exponential extending over three orders of magnitude in time. The average power density spectrum is well represented by a power-law with the slope $-5/3$ (as in the Kolmogorov spectrum) extending over two decades in Fourier frequency. A mathematical toy pulse avalanche model is shown to reproduce both the averaged time profile and the averaged power density spectrum. Existing models of GRBs are confronted with the time variability data.
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