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New Modeling of the Lensing Galaxy and Cluster of Q0957+561: Implications for the Global Value of the Hubble Constant

1999/06/10 by Kyu-Hyun Chae, Kyu‐Hyun Chae · 19 citations
Physics and Astronomy · #Astronomy #Astrophysics #Cluster (spacecraft) #Degeneracy (biology) #Galaxies: Formation, Evolution, Phenomena #Galaxy #Galaxy cluster #Gamma-ray bursts and supernovae #Gravitational lens #Hubble's law #Physics #Pulsars and Gravitational Waves Research #Redshift #astro-ph

paper · pdf · doi:10.1086/307842

published in The Astrophysical Journal 524(2), 582-590 (IOP Publishing) · 22 pages in aaspp style including 6 tables and 5 figures, ApJ in press (Nov. 1st issue)

arxiv created 1999/06/10 · openalex publication_date 1999/10/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The gravitational lens 0957+561 is modeled utilizing recent observations of the galaxy and the cluster as well as previous VLBI radio data that have been reanalyzed recently. The galaxy is modeled by a power-law elliptical mass density with a small core, while the cluster is modeled by a nonsingular power-law sphere, as indicated by recent observations. Using all of the currently available data, the best-fit model has χ / N dof ≈ 6, where the χ 2 value is dominated by a small portion of the observational constraints used; this value of the reduced χ 2 is similar to that of the recent FGSE (Falco, Gorenstein, & Shapiro elliptical) best-fit model of Barkana et al. However, the derived value of the Hubble constant is significantly different from the value derived from the FGSE model. We find that the value of the Hubble constant is given by H 0 = 69 (1 - κ) and 74 (1 - κ) km s -1 Mpc -1 with and without a constraint on the cluster's mass, respectively, where κ is the convergence of the cluster at the position of the galaxy and the range for each value is defined by Δχ 2 = χ / N dof . At present, the best achievable fit for this system is not as good as for PG 1115+080, which has also recently been used to constrain the Hubble constant, and the degeneracy is large. Possibilities for improving the fit and reducing the degeneracy are discussed.

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