Mathematics – Logic
Scientific paper
Dec 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aas...19311703l&link_type=abstract
American Astronomical Society, 193rd AAS Meeting, #117.03; Bulletin of the American Astronomical Society, Vol. 30, p.1424
Mathematics
Logic
Scientific paper
Recent HST images of gravitational lens systems suggest that multiple sources at different redshifts may be lensed by a single cluster. We have developed a new technique for extracting the cosmological parameters Omega and lambda from these multiple-arc gravitational lenses. Requiring a consistent mass model for sources at different redshifts resolves the ambiguity between the effects of the overall scale factor in the lens mass distribution and the effects of the cosmological parameters in the angular size-redshift relation. This dissertation details this method for measuring Omega and lambda . The cosmological parameters are included as model parameters to be fit to the observations, and a merit function that measures the deviation in surface brightness between multiple images of a single source pixel is minimized to produce a best fit model. Applying the method to simulated data we find that in general models over a broad range of Omega and lambda can fit the data. However, within the families of flat and lambda =0 models the cosmological parameters are well-constrained. Our Monte Carlo error calculation indicates that for flat cosmologies the method can recover lambda to within +/- 0.2 for reasonable measurement uncertainties in the arcs' redshifts. Thus, we believe this method will make an excellent complement to existing techniques for measuring cosmological parameters.
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