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The assumptions that "light propagates along null geodesics of the spacetime metric" and "the number of photons is conserved along the light path" lead to the distance duality relation (DDR), $\eta = D_L(z) (1 + z)^{-2}/D_A(z) = 1$, with…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Vincenzo F. Cardone , Susanna Spiro , Isobel Hook , Roberto Scaramella

The cosmic distance duality relation (CDDR), $D_{\rm L}(1+z)^{-2}/D_{\rm A}=\eta=1$, with $D_{\rm L}$ and $D_{\rm A}$, being the luminosity and angular diameter distances, respectively, is a crucial premise in cosmological scenarios. Many…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-16 W. J. C. da Silva , R. F. L. Holanda , R. Silva

One of the most fundamental relationships in modern cosmology is the cosmic distance duality relation (CDDR), which describes the relationship between the angular diameter distance ($D_{\rm A}$) and the luminosity distance ($D_{\rm L}$),…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-27 Tian-Nuo Li , Guo-Hong Du , Peng-Ju Wu , Jing-Zhao Qi , Jing-Fei Zhang , Xin Zhang

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

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

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

The angular diameter distances toward galaxy clusters can be determined with measurements of the Sunyaev-Zel'dovich effect and X-ray surface brightness combined with the validity of the distance-duality relation, $D_L(z) (1 +…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-17 R. F. L. Holanda , J. A. S. Lima , M. B. Ribeiro

In this letter we propose a new and model-independent cosmological test for the distance-duality (DD) relation, \eta=D_{L}(z)(1+z)^{-2}/D_{A}(z)=1, where D_{L} and D_{A} are, respectively, the luminosity and angular diameter distances. For…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-01 R. F. L. Holanda , J. A. S. Lima , M. B. Ribeiro

Under very general assumptions of metric theory of spacetime, photons traveling along null geodesics and photon number conservation, two observable concepts of cosmic distance, i.e. the angular diameter and the luminosity distances are…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-16 Kai Liao , Zhengxiang Li , Shuo Cao , Marek Biesiada , Xiaogang Zheng , Zong-Hong Zhu

We propose a new consistent method to test of the distance-duality (DD) relation which related angular diameter distances (DA) to the luminosity distances (DL) in a cosmology-independent way. In order to avoid any bias brought by redshift…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-08 Nan Liang , Zhengxiang Li , Puxun Wu , Shuo Cao , Kai Liao , Zong-Hong Zhu

We demonstrate that the recent measurements of the angular diameter distance of 38 cluster of galaxies using Chandra X-ray data and radio observations from the OVRO and BIMA interferometric arrays place new and independent constraints on…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Francesco De Bernardis , Elena Giusarma , Alessandro Melchiorri

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

We test the possible deviation of the cosmic distance duality relation $D_A(z)(1+z)^2/D_L(z)\equiv 1$ using the standard candles/rulers in a fully model-independent manner. Type-Ia supernovae are used as the standard candles to derive the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-14 Xin Li , Hai-Nan Lin

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

In this paper, we propose a new test to the cosmic distance duality relation (CDDR), $D_L=D_A(1+z)^2$, where $D_L$ and $D_A$ are the luminosity and angular diameter distances, respectively. The data used correspond to 61 Type Ia Supernova…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 R. F. L. Holanda , L. R. Colaço , S. H. Pereira , R. Silva

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

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 (DDR) is constrained from the combination of type-Ia supernovae (SNe Ia) and strong gravitational lensing (SGL) systems using deep learning method. To make use of the full SGL data, we reconstruct the…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-09 Li Tang , Hai-Nan Lin , Liang Liu

In this work, we propose to utilize the observed ratio of spherically-averaged distance to the sound horizon scale from Baryon Acoustic Oscillation (BAO) data to test the cosmic distance duality relation (CDDR) by comparing the luminosity…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-11 Fan Yang , Xiangyun Fu , Bing Xu , Kaituo Zhang , Yang Huang , Ying Yang

We investigate whether a violation of the distance duality relation (DDR), $D_L(z) = (1+z)^2 D_A(z)$, connecting the angular diameter and luminosity distances, can explain the Hubble tension and alter the evidence for dynamical dark energy…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-15 Elsa M. Teixeira , William Giarè , Natalie B. Hogg , Thomas Montandon , Adèle Poudou , Vivian Poulin
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