A method to distinguish two gamma-ray bursts with similar time profiles

Mathematics – Logic

Scientific paper

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Gamma Ray Bursts, Gravitational Lenses, Light Curve, Signal To Noise Ratios, Temporal Distribution

Scientific paper

The detection of gravitationally lensed gamma-ray bursts would be the most direct evidence for a cosmological origin of the bursters. A method is presented here to distinguish two gamma-ray bursts that have similar time profiles from two gravitationally lensed images of one gamma-ray burst at cosmological distance. Applied to GRB 910503, the method uses the two subbursts of this burster and scales them down by different factors, adds noise, and compares them with each other as well as with different noisy copies of themselves. It is found that at a certain intensity level we cannot distinguish the two different input bursts any longer: their differences are statistically undistinguishable from the differences of two noisy copies of one burst. It is found that, for bursts which have structure on time scales comparable to or shorter than the smallest time bin on the BATSE experiment, it is quite difficult to show the 'equality' of two gravitationally lensed images of the same burst.

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