Mathematics – Probability
Scientific paper
Apr 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...389l..41m&link_type=abstract
Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 389, April 20, 1992, p. L41-L44.
Mathematics
Probability
41
Black Holes (Astronomy), Gamma Ray Bursts, Gravitational Lenses, Time Lag, Gamma Ray Observatory, Mass Distribution, Probability Distribution Functions
Scientific paper
The probability distributions of time delay in gravitational lensing by point masses and isolated galaxies (modeled as singular isothermal spheres) are studied. For point lenses (all with the same mass) the probability distribution is broad, and with a peak at delta(t) of about 50 S; for singular isothermal spheres, the probability distribution is a rapidly decreasing function with increasing time delay, with a median delta(t) equals about 1/h month, and its behavior depends sensitively on the luminosity function of galaxies. The present simplified calculation is particularly relevant to the gamma-ray bursts if they are of cosmological origin. The frequency of 'recurrent' bursts due to gravitational lensing by galaxies is probably between 0.05 and 0.4 percent. Gravitational lensing can be used as a test of the cosmological origin of gamma-ray bursts.
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