The Sloan Lens ACS Survey. VI: Discovery and analysis of a double Einstein ring

TL;DR

This paper reports the discovery of a double Einstein ring system, analyzes its mass distribution, and explores its potential for cosmological parameter estimation with future surveys.

Contribution

It presents the first detailed analysis of a double Einstein ring system and assesses its use for constraining cosmological parameters.

Findings

The mass profile of the lens is well described by a power-law with index ~2.

The double lens system allows for mass estimation of the individual rings.

Future surveys could use double lenses to measure cosmological parameters with 10% accuracy.

Abstract

We report the discovery of two concentric Einstein rings around the gravitational lens SDSSJ0946+1006, as part of the Sloan Lens ACS Survey. The main lens is at redshift zl=0.222, while the inner ring (1) is at zs1=0.609 and Einstein radius $Re_1=1.43\pm0.01"$. The wider image separation ($Re_2=2.07\pm 0.02"$) of the outer ring (2) implies that it is at higher redshift. Its detection in the F814W filter implies zs2<6.9. The configuration can be well described by a total density profile $\rho_{tot} ~ r^-g'$ with $g'=2.00\pm0.03$ and velocity dispersion $\sigma_{SIE}=287\pm5\kms$. [...] We consider whether this configuration can be used to constrain cosmological parameters exploiting angular distance ratios entering the lens equations. Constraints for SDSSJ0946+1006, are uninteresting due to the sub-optimal lens and source redshifts. We then consider the perturbing effect of the mass associated with Ring 1 building a double lens plane compound lens model. This introduces minor changes to the mass of the main lens and allows to estimate the mass of Ring 1 $(\sigma_{SIE,s1}=94\pm30\kms)$. We examine the prospects of doing cosmography with a sample of 50 double lenses, expected from future space based surveys such as DUNE or JDEM. Taking full account of the model uncertainties, such a sample could be used to measure $\Omega_m$ and $w$ with 10% accuracy, for a flat cosmology.