Mathematics – Logic
Scientific paper
Nov 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...399..368n&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 399, no. 2, p. 368-372.
Mathematics
Logic
16
Gamma Ray Bursts, Gravitational Lenses, Parameter Identification, Dark Matter, Extragalactic Radio Sources, Quasars
Scientific paper
We consider gravitational lensing of cosmologically distant gamma-ray bursts by foreground matter and investigate whether observations of such lensing events can be inverted to determine the characteristics of the lensing mass. For pointlike lenses, the quantity (1 + zd)M can be calculated directly from the observables, yielding the lens mass to within a factor about 2. The mass determination is independent of the source redshift and the angular diameter distances to the source and the lens. Even if the point mass is embedded in a constant density mass sheet with shear it is still possible, in favorable cases, to estimate (1 + zd)M directly from the observations. If the lens is not pointlike but has an extended mass distribution, the observations can be used to obtain the velocity dispersion of the lens.
Narayan Ramesh
Wallington Sylvanie
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