Measuring cosmological parameters using multiple-arc gravitational lens systems: A new technique

Details Measuring cosmological parameters using multiple-arc gravitational lens systems: A new technique Measuring cosmological parameters using multiple-arc gravitational lens systems: A new technique

Dec 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phdt.........7l&link_type=abstract

Thesis (PhD). INDIANA UNIVERSITY, Source DAI-B 60/06, p. 2748, Dec 1999, 155 pages.

Mathematics

Logic

Redshift, Monte Carlo

Scientific paper

Many techniques have been devised for using gravitational lens systems to measure the cosmological parameters, Ω and λ. These techniques rely on assumptions about unknown factors such as galaxy evolution and redshift distribution. This dissertation details a method which avoids the need for these assumptions, and thus provides an independent complement to existing techniques. The method described here uses gravitational lens systems that contain multiple strongly lensed arcs at different redshifts. Considering multiple arcs and imposing a consistent mass model for arcs at all redshifts resolves the ambiguity between the effects of different cosmological models and the effects of an overall scale factor in the lens mass distribution. Cosmological parameters are included as model parameters to be fit to the data, and a suitable merit function is minimized to produce a ``best fit'' model. The method was tested using simulated images constructed both from an analytic lens model and from a gravitational deflection map reconstructed from an observed lens system. In both cases the procedure was able to recover the fiducial cosmological model used in the simulation. Confidence levels for these results were determined using a Monte Carlo technique. These calculations indicated that for real data these results would add interesting constraints to the cosmological parameters.

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