English

Strong Lensing and $H_0$

Cosmology and Nongalactic Astrophysics 2025-04-08 v2

Abstract

Time delays from strong gravitational lensing provide a one-step absolute distance measurement. Thus, they measure H0H_0 independently of all other probes. We first review the foundations and history of time-delay cosmography. Then, we illustrate the current state of the art by means of two recent case studies that have been real breakthroughs: i) the quadruply imaged quasar lensed by a galaxy-scale deflector RXJ1131-1231, for which spatially resolved stellar kinematics is available; ii) the multiply imaged supernova "Refsdal", the first with measured time delays, lensed by cluster MACS1149.5++2223. We conclude by discussing the exciting future prospects of time-delay cosmography in the coming decade.

Keywords

Cite

@article{arxiv.2307.05714,
  title  = {Strong Lensing and $H_0$},
  author = {Tommaso Treu and Anowar J. Shajib},
  journal= {arXiv preprint arXiv:2307.05714},
  year   = {2025}
}

Comments

Invited chapter for the book "Hubble Constant Tension" (eds. E. Di Valentino and D. Brout). This version: accepted version

R2 v1 2026-06-28T11:27:49.539Z