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Related papers: Constraints on the cosmic distance duality relatio…

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The cosmic distance relation (DDR) associates the angular diameters distance ($D_A$) and luminosity distance ($D_L$) by a simple formula, i.e., $D_L=(1+z)^2D_A$. The strongly lensed gravitational waves (GWs) provide a unique way to measure…

General Relativity and Quantum Cosmology · Physics 2021-01-19 Hai-Nan Lin , Xin Li , Li Tang

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

A validation of the cosmic distance-duality relation (CDDR) is crucial because any observational departure from it could be a signal of new physics. In this work, we explore the potentialities of luminosity distance data from the…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Xiangyun Fu , Lu Zhou , Jun Chen

The construction of the cosmic distance-duality relation (CDDR) has been widely studied. However, its consistency with various new observables remains a topic of interest. We present a new way to constrain the CDDR $\eta(z)$ using different…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Akshay Rana , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee , R. F. L. Holanda

The cosmic distance duality relation (CDDR) is a fundamental assumption in cosmological studies. Given the redshift $z$, it relates luminosity distance $D^L$ with angular diameter distance $D^A$ through $(1+z)^2D^A/D^L\equiv1$. Many efforts…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-04 Kai Liao

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 (CDDR), expressed as $d_L(z) = (1+z)^2 D_A(z)$, is a fundamental relation in modern cosmology. In this work, we apply a method to test the CDDR using simulated strongly lensed gravitational-wave (SLGW)…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-25 Yong Yuan , Minghui Du , Benyang Zhu , Xin-yi Lin , Wen-Fan Feng , Peng Xu , Xilong Fan

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

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

The cosmic distance duality relation (CDDR), expressed as DL(z) = (1 + z)2DA(z), plays an important role in modern cosmology. In this paper, we propose a new method of testing CDDR using strongly lensed gravitational wave (SLGW) signals.…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-28 Shun-Jia Huang , En-Kun Li , Jian-dong Zhang , Xian Chen , Zucheng Gao , Xin-yi Lin , Yi-Ming Hu

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

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

In this paper we analyse the implications of the latest cosmological data sets to test the Etherington's distance duality relation (DDR), which connects the luminosity distance $D_L$ and angular diameter distance $D_A$ at the same redshift.…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-21 Jing-Zhao Qi , Shuo Cao , Chenfa Zheng , Yu Pan , Zejun Li , Jin Li , Tonghua Liu

The cosmic distance duality relation (DDR), which links the angular diameter distance and the luminosity distance, is a cornerstone in modern cosmology. Any deviation from DDR may indicate new physics beyond the standard cosmological model.…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-05 Li Tang , Hai-Nan Lin , Ying Wu

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) 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

General relativity reproduces main current cosmological observations, assuming the validity of cosmic distance duality relation (CDDR) at all scales and epochs. However, CDDR is poorly tested in the redshift interval between the farthest…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-08 Xiaogang Zheng , Kai Liao , Marek Biesiada , Shuo Cao , Tong-Hua Liu , Zong-Hong Zhu

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, 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

We test the validity of the cosmic distance duality relation (CDDR) by combining angular diameter distance and luminosity distance measurements from recent cosmological observations. For the angular diameter distance, we use data from…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-10 Felipe Avila , Fernanda Oliveira , Camila Franco , Maria Lopes , Rodrigo Holanda , Rafael C. Nunes , Armando Bernui
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