Constraints on (OmegaM0, OmegaLambda) from strong lensing in AC 114
Abstract
We use a strong lensing inversion in the cluster of galaxies AC 114 to derive constraints on the cosmological parameters OmegaM0 and OmegaLambda. If it is possible to measure spectroscopically the redshifts of many multiple images then one can in principle constrain (OmegaM0,OmegaLambda) through ratios of angular diameter distances, independently of any external assumptions. Numerical tests on simulated data show rather good constraints from this test. We also use an analytic ``pseudo-elliptical'' NFW profile in the simulations, following the general new formalism we present. An application to AC 114 favors a flat Universe, an EdS model being marginally ruled out.
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