We present a free-form lens model for the multiply lensed quasar in the galaxy cluster SDSS J1004+4112. Our lens model makes minimal assumptions about the distribution of mass in the lens plane. We pay particular attention to the model uncertainties on the predicted time delay, originating from the particular configuration of model variables. Taking into account this uncertainty, we obtain a value of the Hubble constant of H0=74−13+9km s−1 Mpc−1, consistent with independent recent estimates. The predicted time delay between the central image E and image C (the first to arrive), is ΔTE−C=3200±200 days. Future measurements of ΔTE−C will allow to impose a tighter constrain on H0 from this cluster-QSO system.
@article{arxiv.2309.14776,
title = {Parameter free Hubble constant from the quadruply lensed quasar SDSS J1004 + 4112},
author = {J. Martínez-Arrizabalaga and J. M. Diego and L. J. Goicoechea},
journal= {arXiv preprint arXiv:2309.14776},
year = {2024}
}