English

A Mass Model for the Lensing Cluster SDSS J1004+4112: Constraints From the Third Time Delay

Astrophysics of Galaxies 2022-09-28 v2 Cosmology and Nongalactic Astrophysics

Abstract

We have built a new model for the lens system SDSS J1004+4112 including the recently measured time delay of the fourth quasar image. This time delay has a strong influence on the inner mass distribution of the lensing cluster (ρrα\rho \propto r^{-\alpha}) allowing us to determine α=1.180.03(0.18)+0.02(+0.11)\alpha=1.18^{+0.02(+0.11)}_{-0.03(-0.18)} at the 68% (95%) confidence level in agreement with hydrodynamical simulations of massive galaxy clusters. We find an offset between the brightest cluster galaxy (BCG) and the dark matter halo of 3.80.7(1.3)+0.6(+1.4)3.8^{+0.6(+1.4)}_{-0.7(-1.3)} kpc at 68% (95%) confidence which is compatible with other galaxy cluster measurements. As an observational challenge, the estimated time delay between the leading image C and the faint (I=24.7) fifth image E is roughly 8 yr.

Keywords

Cite

@article{arxiv.2206.09856,
  title  = {A Mass Model for the Lensing Cluster SDSS J1004+4112: Constraints From the Third Time Delay},
  author = {R. Forés-Toribio and J. A. Muñoz and C. S. Kochanek and E. Mediavilla},
  journal= {arXiv preprint arXiv:2206.09856},
  year   = {2022}
}

Comments

9 pages, 3 figures, 4 tables. ApJ in press

R2 v1 2026-06-24T11:57:26.596Z