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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

We propose a consistency test of some recent X-ray gas mass fraction ($f_{\rm{gas}}$) measurements in galaxy clusters, using the cosmic distance-duality relation, $\eta_{\rm{theory}}=\dl(1+z)^{-2}/\da$, with luminosity distance ($\dl$) data…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Xin Wang , Xiao-Lei Meng , Y. F. Huang , Tong-Jie Zhang

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

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

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

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

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

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

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 carry out a test of the cosmic distance duality relation using a sample of 52 SPT-SZ clusters, along with X-ray measurements from XMM-Newton. To carry out this test, we need an estimate of the luminosity distance ($D_L$) at the redshift…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-30 Kamal Bora , Shantanu Desai

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

In this paper, assuming the validity of distance duality relation, $\eta=D_L(z)(1+z)^{-2}/D_A(z)=1$, where $D_A(z)$ and $D_L(z)$ are the angular and the luminosity distance respectively, we explore two kinds of gas mass density profiles of…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-08 Shuo Cao , Marek Biesiada , Xiaogang Zheng , Zong-Hong Zhu

{In this paper, we use large scale structure observations to test the redshift dependence of cosmic distance duality relation (CDDR), $D_{\rm L}(1+z)^{-2}/D_{\rm A}=\eta(z)$}, with $D_{\rm L}$ and $D_{\rm A}$, being the luminosity and…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-23 R. F. L. Holanda , F. S. Lima , Akshay Rana , Deepak Jain

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

The cosmic distance duality relation (DDR), which connects the angular diameter distance and luminosity distance through a simple formula $D_A(z)(1+z)^2/D_L(z)\equiv1$, is an important relation in cosmology. Therefore, testing the validity…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-05 Hai-Nan Lin , Ming-Hua Li , Xin Li

As an exact result required by the Etherington reciprocity theorem, the cosmic distance duality relation (CDDR), $\eta(z)=D_L(z)(1+z)^{-2}/D_A(z)=1$ plays an essential part in modern cosmology. In this paper, we present a new method…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-19 Liu Tonghua , Cao Shuo , Ma Shuai , Liu Yuting , Zheng Chenfa , Wang Jieci

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

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 cosmic distance duality relation (CDDR), eta(z)=(1+z)^2 d_A(z)/d_L(z)=1, is one of the most fundamental and crucial formulae in cosmology. This relation couples the luminosity and angular diameter distances, two of the most often used…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-10 Jin Qin , Fulvio Melia , Tong-Jie Zhang

The cosmic distance duality relation (CDDR) has been test through several astronomical observations in the last years. This relation establishes a simple equation relating the angular diameter ($D_A$) and luminosity ($D_L$) distances at a…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-23 Tao Yang , R. F. L. Holanda , Bin Hu
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