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Testing the distance duality relation using Type Ia supernovae and ultracompact radio sources

2017/10/27 by Xin Li, Hai-Nan Lin · 2 citations
Physics and Astronomy · #Angular diameter #Astrophysics #Combinatorics #Cosmic distance ladder #Cosmology and Gravitation Theories #Duality (order theory) #Galaxy #Gamma-ray bursts and supernovae #Luminosity #Luminosity distance #Physics #Radio Astronomy Observations and Technology #Redshift #Standard Model (mathematical formulation) #Stars #Supernova #Type (biology) #astro-ph.CO

paper · pdf · doi:10.1093/mnras/stx2810

published as MNRAS 474, 313-317 (2018) · 6 pages, 4 figures, accepted by MNRAS

openalex publication_date 2017/10/27 · arxiv created 2017/12/13 · arxiv updated 2017/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We test the possible deviation of the cosmic distance duality relation DA(z)(1 + z)2/DL(z) ≡ 1 using the standard candles/rulers in a fully model-independent manner. Type Ia supernovae are used as the standard candles to derive the luminosity distance DL(z), and ultracompact radio sources are used as the standard rulers to obtain the angular diameter distance DA(z). We write the deviation of distance duality relation as DA(z)(1 + z)2/DL(z) = η(z). Specifically, we use two parametrizations of η(z), i.e. η1(z) = 1 + η0z and η2(z) = 1 + η0z/(1 + z). The parameter η0 is obtained using the Markov chain Monte Carlo methods by comparing DL(z) and DA(z) at the same redshift. The best-fitting results are η0 = −0.06 ± 0.05 and −0.18 ± 0.16 for the first and second parametrizations, respectively. Our results depend on neither the cosmological models nor the matter contents or the curvature of the Universe.

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