https://doi.org/10.1140/epjc/s10052-024-13259-7
Regular Article - Theoretical Physics
Inverse distance ladder method for determining
from angular diameter distances of time-delay lenses and supernova observations
1
School of Physics and Optoelectronic Engineering, Yangtze University, 434023, Jingzhou, China
2
Department of Physics, and Collaborative Innovation Center for Quantum Effects and Applications, Hunan Normal University, 410081, Changsha, Hunan, China
b
liutongh@yangtzeu.edu.cn
c
jcwang@hunnu.edu.cn
Received:
15
April
2024
Accepted:
18
August
2024
Published online:
30
August
2024
Time-delay measurements from strong lensing systems combined with spectroscopic measurements of stellar kinematics in deflecting galaxies provide a natural way to infer absolute distances (lensing distances). This means that it can be used to anchor the relative distances of Type Ia supernovae (SNe Ia), and further infer the Hubble constant in a cosmological model-independent way, while avoiding the assumptions of curvature and the equation of state of dark energy. Indeed, observations based on gravitational lensing time delays can measure
directly, but usually require assumptions about the specific cosmological models. Meanwhile, this method suffers the mass-sheet degeneracy obstacle. These factors may induce the bias on determination of
. However, the inverse distance ladder method we use avoids these assumptions altogether. In this study, we seek for the Pantheon and Pantheon plus datasets and use Gaussian process regression to reconstruct the unanchored distance to match the distance at the redshift of the lens to determine
, respectively. Based on the four H0LiCOW lenses, the unanchored distances reconstructed by combining the Pantheon and Pantheon plus datasets yielded
and
with
observational uncertainty, respectively. All the lenses show the measured
is in good agreement with the local measurement results reported by the SH0ES collaboration within
confidence level.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.