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Many researchers have performed cosmological-model-independent tests for the distance duality (DD) relation. Theoretical work has been conducted based on the results of these tests. However, we find that almost all of these tests were…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-25 Xi Yang , Hao-Ran Yu , Zhi-Song Zhang , Tong-Jie Zhang

In this paper, we perform a cosmological model-independent test of the cosmic distance-duality relation (CDDR) in terms of the ratio of angular diameter distance (ADD) $D=D_{\rm A}^{\rm sl}/D_{\rm A}^{\,\rm s}$ from strong gravitational…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Xiangyun Fu , Pengcheng Li

The validity of distance duality relation, $\eta=D_L(z)(1+z)^{-2}/D_A(z)=1$, an exact result required by the Etherington reciprocity theorem, where $D_A(z)$ and $D_L(z)$ are the angular and luminosity distances, plays an essential part in…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-15 Shuo Cao , Zong-Hong Zhu

The distance duality relation (DDR) relates two independent ways of measuring cosmological distances, namely the angular diameter distance and the luminosity distance. These can be measured with baryon acoustic oscillations (BAO) and Type…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-03 Felicitas Keil , Savvas Nesseris , Isaac Tutusaus , Alain Blanchard

The cosmic distance-duality relation (CDDR), $d_L(z) (1 + z)^{2}/d_{A}(z) = \eta$, where $\eta = 1$ and $d_L(z)$ and $d_A(z)$ are, respectively, the luminosity and the angular diameter distances, holds as long as the number of photons is…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 R. S. Gonçalves , A. Bernui , R. F. L. Holanda , J. S. Alcaniz

It has been known for over three decades that the monochromatic X-ray and UV luminosities in quasars are correlated, though non-linearly. This offers the possibility of using high-z quasars as standard candles for cosmological testing. In…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-10 Fulvio Melia

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

The concordance (LambdaCDM) model reproduces the main current cosmological observations assuming the validity of general relativity at all scales and epochs, the presence of cold dark matter, and of a cosmological constant, equivalent to a…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-08 Guido Risaliti , Elisabeta Lusso

Strong gravitational lenses provide source/lens distance ratios D_obs useful in cosmological tests. Previously, a catalog of 69 such systems was used in a one-on-one comparison between the standard model, LCDM, and the R_h=ct universe,…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-20 Manoj K. Yennapureddy , Fulvio Melia

Testing the cosmic distance duality relation (CDDR) constitutes an important task for cosmology and fundamental physics since any violation of it would be a clear evidence of new physics. In this {\it Letter}, we propose a new test for the…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-29 R. F. L. Holanda , R. S. Goncalves , J. S. Alcaniz

A measurement of the redshift drift constitutes a model-independent probe of fundamental cosmology. Several approaches are being considered to make the necessary observations, using (i) the Extremely Large Telescope (ELT), (ii) the Cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-13 Fulvio Melia

The use of time-delay gravitational lenses to examine the cosmological expansion introduces a new standard ruler with which to test theoretical models. The sample suitable for this kind of work now includes 12 lens systems, which have thus…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Jun-Jie Wei , Xue-Feng Wu , Fulvio Melia

We test the Etherington cosmic distance-duality relation (CDDR), by comparing Type Ia supernova (SNIa) luminosity-distance information from the Pantheon+ compilation with an angular-diameter-distance reconstructed from localized Fast Radio…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-20 Jéferson A. S. Fortunato , Surajit Kalita , Amanda Weltman

In this paper, we propose an accurate test of the distance-duality (DD) relation, $\eta=D_{L}(z)(1+z)^{-2}/D_{A}(z)=1$ (where $D_{L}$ and $D_{A}$ are the luminosity distances and angular diameter distances, respectively), with a combination…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Shuo Cao , Nan Liang

We present a model independent method to test the consistency between cosmological measurements of distance and age, assuming the distance duality relation. We use type Ia supernovae, baryon acoustic oscillations, and observational Hubble…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Remya Nair , Sanjay Jhingan , Deepak Jain

In this paper we discuss a new cosmological model-independent test for the cosmic distance duality relation (CDDR), $\eta = D_{L}(L)(1+z)^{-2}/D_{A}(z)=1$, where $D_{A}(z)$ and $D_{L}(z)$ are the angular and luminosity distances,…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-29 R. S. Goncalves , R. F. L. Holanda , J. S. Alcaniz

Cosmological distances are fundamental observables in cosmology. The luminosity ($D_L$), angular diameter ($D_A$) and gravitational wave ($D_{\rm GW}$) distances are all trivially related in General Relativity assuming no significant…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-07 Isabela Matos , Miguel Quartin , Luca Amendola , Martin Kunz , Riccardo Sturani

We test the distance--duality relation $\eta \equiv d_L / [ (1 + z)^2 d_A ] = 1$ between cosmological luminosity distance ($d_L$) from the JLA SNe Ia compilation (arXiv:1401.4064) and angular-diameter distance ($d_A$) based on Baryon…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-16 Cong Ma , Pier-Stefano Corasaniti

The Etherington distance duality relation, which relates the luminosity distance, the angular diameter distance and the redshift of objects, depends only upon a conservation law for light that traces back directly to the Lorentzian…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-30 Surhud More , Hiroko Niikura , Jonas Schneider , Frederic P. Schuller , Marcus C. Werner

The basic cosmological distances are linked by the Etherington cosmic distance duality relation, $\eta (z) = D_{L}(z)(1+z)^{-2}/D_{A}(z) \equiv 1$, where $D_{L}$ and $D_{A}$ are, respectively, the luminosity and angular diameter distances.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 J. A. S. Lima , J. V. Cunha , V. T. Zanchin