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The cosmic distance-duality relation (CDDR), expressed as $ D_L/D_A(1+z)^{-2}=1 $, is a fundamental relation in cosmology connecting luminosity distance ($ D_L $) and angular diameter distance ($ D_A $). Any departure from this relation…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-18 Jian Hu , Yi Liu , Jian-Ping Hu , Zhongmu Li

This research explores the correlation between the absolute magnitude and the redshift of Type Ia supernovae (SNe Ia) with a model-independent approach. The Pantheon sample of SNe Ia and strong gravitational lensing systems (SGLS) are used.…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-19 Jian Hu , Jian-Ping Hu , Zhongmu Li , Wenchang Zhao , Jing Chen

In this paper, we investigate the possible deviations of the cosmic distance duality relation (CDDR) using the combination of the largest SNe Ia (Pantheon) and compact radio quasar (QSO) samples through two model-independent approaches. The…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-27 Yuan He , Yu Pan , Dong-Ping Shi , Shuo Cao , Wen-Jie Yu , Jing-Wang Diao , Wei-Liang Qian

The $\Lambda$CDM model is the current standard model in cosmology thanks to its ability to reproduce the observations. Its first observational evidence appeared from the type Ia supernovae (SNIa) Hubble diagram. However, there has been some…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-01 Isaac Tutusaus , Brahim Lamine , Alain Blanchard

We propose and perform a new test of the cosmic distance-duality relation (CDDR), $D_L(z) / D_A(z) (1 + z)^{2} = 1$, where $D_A$ is the angular diameter distance and $D_L$ is the luminosity distance to a given source at redshift $z$, using…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 R. F. L. Holanda , V. C. Busti , J. S. Alcaniz

Measurements of strong gravitational lensing jointly with type Ia supernovae (SNe Ia) observations have been used to test the validity of the cosmic distance duality relation (CDDR), $D_L(z)/[(1+z)^2D_A(z)]=\eta=1$, where $D_L(z)$ and…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 R. F. L. Holanda , V. C. Busti , F. S. Lima , J. S. Alcaniz

In this work, we test the cosmic distance duality relation (CDDR) by comparing the angular diameter distance (ADD) derived from the transverse Baryon Acoustic Oscillations (BAO) data with the luminosity distance (LD) from the Pantheon type…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-18 Min Wang , Xiangyun Fu , Bing Xu , Yang Huang , Ying Yang , Zhenyan Lu

We present a comprehensive test of the cosmic distance duality relation (DDR) using a combination of strong gravitational lensing (SGL) time delay measurements and Type Ia supernovae (SNe Ia) data. We investigate three different…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-16 Jing-Zhao Qi , Yi-Fan Jiang , Wan-Ting Hou , Xin Zhang

The Cosmic Distance Duality Relation (CDDR) connects the angular diameter distance ($d_A$) and the luminosity distance ($d_L$) at a given redshift. This fundamental relation holds in any metric theory of gravity, provided that photon number…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-15 Brijesh Kanodia , Ujjwal Upadhyay , Yashi Tiwari

We present observations of 10 type Ia supernovae (SNe Ia) between 0.16 < z < 0.62. With previous data from our High-Z Supernova Search Team, this expanded set of 16 high-redshift supernovae and 34 nearby supernovae are used to place…

I review the use of Type Ia supernovae (SNe Ia) for cosmological distance determinations. Low-redshift SNe Ia (z <~ 0.1) demonstrate that the Hubble expansion is linear, that H_0 = 65 +/- 2 (statistical) km/s/Mpc, and that the properties of…

Astrophysics · Physics 2007-05-23 Alexei V. Filippenko

We describe a procedure for accurately determining luminosity distances to Type Ia supernovae (SNe Ia) without knowledge of redshift. This procedure, which may be used as an extension of any of the various distance determination methods…

Astrophysics · Physics 2009-11-10 Brian J. Barris , John L. Tonry

A distance-deviation consistency and model-independent method to test the cosmic distance duality relation (CDDR) is provided. The method is worth attention on two aspects: firstly, a distance-deviation consistency method is used to pair…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 C. C. Zhou , J. Hu , M. C. LI , X. Zhang , G. W. Fang

Context: The cosmological concordance model ($\Lambda$CDM) matches the cosmological observations exceedingly well. This model has become the standard cosmological model with the evidence for an accelerated expansion provided by the type Ia…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-19 Isaac Tutusaus , Brahim Lamine , Arnaud Dupays , Alain Blanchard

In this paper, cosmic distance duality relation is probed without considering any background cosmological model. The only \textit{a priori} assumption is that the Universe is described by the Friedmann-Lema$\hat{i}$tre-Robertson-Walker…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Savita Gahlaut

We review the use of Type Ia supernovae for cosmological distance determinations. Low-redshift SNe Ia (z < 0.1) demonstrate that (a) the Hubble expansion is linear, (b) H_0 = 65 +/- 2 (statistical) km/s/Mpc, (c) the bulk motion of the Local…

Astrophysics · Physics 2007-05-23 A. V. Filippenko , A. G. Riess

In this work, we perform a cosmological-model-independent test on the cosmic distance duality relation (CDDR) by comparing the angular diameter distance (ADD) obtained from the compact radio quasars (QSOs) with the luminosity distance (LD)…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-19 Fan Yang , Xiangyun Fu , Bing Xu , Kaituo Zhang , Yang Huang , Ying Yang

We explore the possible role of evolution in the analysis of data on SNe Ia at cosmological distances. First, using a variety of simple sleuthing techniques, we find evidence that the properties of the high and low redshift SNe Ia observed…

Astrophysics · Physics 2009-10-31 Persis S. Drell , Thomas J. Loredo , Ira Wasserman

We test the cosmic distance duality relation (CDDR) using two model-independent methods. Method I is based on the PAge parametrization, which characterizes the expansion history in terms of the cosmic age. Parametrizations of possible CDDR…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-10 Xing Wu

I discuss the use of Type Ia supernovae (SNe Ia) for cosmological distance determinations. Low-redshift SNe Ia (z < 0.1) demonstrate that the Hubble expansion is linear with H_0 = 72 +/- 8 km/s/Mpc, and that the properties of dust in other…

Astrophysics · Physics 2015-11-11 Alexei V. Filippenko
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