Abstract The cluster mass–richness relation (MRR) is an observationally efficient and potentially powerful cosmological tool for constraining the matter density Ωmand the amplitude of fluctuationsσ8using the cluster abundance technique. We derive the MRR relation usingGalWCat19, a publicly available galaxy cluster catalog we created from the Sloan Digital Sky Survey-DR13 spectroscopic data set. In the MRR, cluster mass scales with richness as . We find that the MRR we derive is consistent with both the IllustrisTNG and mini-Uchuu cosmological numerical simulations, with a slope ofβ≈ 1. We use the MRR we derived to estimate cluster masses from theGalWCat19catalog, which we then use to set constraints on Ωmandσ8. Utilizing the all-member MRR, we obtain constraints of Ωm= andσ8= , and utilizing the red member MRR only, we obtain Ωm= andσ8= . Our constraints on Ωmandσ8are consistent and very competitive with the Planck 2018 results.
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This content will become publicly available on September 16, 2026
Cosmography with the Double-source-plane Strong Gravitational Lens AGEL 150745+052256
Strong gravitational lenses with two background sources at widely separated redshifts are a promising independent probe of cosmological parameters. We can use these systems, known as double-source-plane lenses (DSPLs), to measure the ratio (β) of angular-diameter distances of the sources, which is sensitive to the matter density (Ωm) and the equation-of-state parameter for dark-energy (w). However, DSPLs are rare and require high-resolution imaging and spectroscopy for detection, lens modeling, and measuringβ. Here, we report only the second DSPL ever used to measure cosmological parameters. We model the DSPLAGEL150745+052256 from the ASTRO 3D Galaxy Evolution with Lenses (AGEL) survey using Hubble Space Telescope/Wide-Field Camera 3 imaging and Keck Cosmic Web Imager spectroscopy. The spectroscopic redshifts for the deflector and two sources inAGEL1507 arezdefl= 0.594,zS1 = 2.163, andzS2= 2.591. We measure a stellar velocity dispersion ofσobs = 109 ± 27 km s−1for the nearer source (S1). Usingσobsfor the main deflector (from literature) and S1, we test the robustness of our DSPL model. We measure forAGEL1507 and infer Ωm for ΛCDM cosmology. CombiningAGEL1507 with the published model of the Jackpot lens improves the precision on Ωm(ΛCDM) andw(wCDM) by ∼10%. The inclusion of DSPLs significantly improves the constraints when combined with Planck’s cosmic microwave background observations, enhancing the precision onwby 30%. This paper demonstrates the potential constraining power of DSPLs and their complementarity to other standard cosmological probes. Tighter future constraints from larger DSPL samples discovered from ongoing and forthcoming large-area sky surveys would provide insights into the nature of dark energy.
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- Award ID(s):
- 2108515
- PAR ID:
- 10644302
- Publisher / Repository:
- The Astrophysical Journal
- Date Published:
- Journal Name:
- The Astrophysical Journal
- Volume:
- 991
- Issue:
- 1
- ISSN:
- 0004-637X
- Page Range / eLocation ID:
- 72
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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