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A validation of the cosmic distance duality (CDD) relation, eta(z)=(1+z)^2 d_A(z)/d_L(z)=1, coupling the luminosity (d_L) and angular-diameter (d_A) distances, is crucial because its violation would require exotic new physics. We present a…

宇宙学与河外天体物理 · 物理学 2018-11-19 Cheng-Zong Ruan , Fulvio Melia , Tong-Jie Zhang

The Cosmic Distance Duality Relation (CDDR) is a basic relation of standard cosmology. This work tests the CDDR and cosmic transparency using angular diameter distances from DESI DR2, luminosity distances from Pantheon+, and direct…

宇宙学与河外天体物理 · 物理学 2025-09-23 Xuwei Zhang , Xiaofeng Yang , Yunliang Ren , Shuangnan Chen , Yangjun Shi , Cheng Cheng , Xiaolong He

The cosmic Distance Duality Relation (DDR) is a fundamental prediction of metric gravity under photon number conservation. In this work, we perform a model-independent test of the DDR using Pantheon+ type Ia supernovae (SN Ia), \emph{Fermi}…

宇宙学与河外天体物理 · 物理学 2026-04-21 Yukang Xie , Yang Liu , Puxun Wu , Xiangyun Fu , Nan Liang

In this work, we test the cosmic distance duality relation (CDDR) using the arbitrary redshift pivot Pad\'e-(2,1) expansion methodology developed in arXiv:2509.16196. This approach allows us to constrain cosmography parameters and test CDDR…

宇宙学与河外天体物理 · 物理学 2026-01-14 Shubham Barua , Sujit K. Dalui , Rikiya Okazaki , Shantanu Desai

Two types of distance measurement are important in cosmological observations, the angular diameter distance $d_A$ and the luminosity distance $d_L$. In the present work, we carried out an assessment of the theoretical relation between these…

宇宙学与河外天体物理 · 物理学 2025-12-02 Purba Mukherjee , Ankan Mukherjee

Observations in the cosmological domain are heavily dependent on the validity of the cosmic distance-duality (DD) relation, D_L(z) (1 + z)^{2}/D_{A}(z) = 1, an exact result required by the Etherington reciprocity theorem where D_L(z) and…

宇宙学与河外天体物理 · 物理学 2015-03-13 R. F. L. Holanda , J. A. S. Lima , M. B. Ribeiro

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…

宇宙学与河外天体物理 · 物理学 2024-07-18 Min Wang , Xiangyun Fu , Bing Xu , Yang Huang , Ying Yang , Zhenyan Lu

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…

宇宙学与河外天体物理 · 物理学 2017-12-14 Xin Li , Hai-Nan Lin

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…

宇宙学与河外天体物理 · 物理学 2010-12-01 R. F. L. Holanda , J. A. S. Lima , M. B. Ribeiro

We study the validity of cosmic distance duality relation between angular diameter and luminosity distances. To test this duality relation we use the latest Union2 Supernovae Type Ia (SNe Ia) data for estimating the luminosity distance. The…

广义相对论与量子宇宙学 · 物理学 2014-03-11 S Jhingan , D Jain , R Nair

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…

宇宙学与河外天体物理 · 物理学 2020-04-08 Xiaogang Zheng , Kai Liao , Marek Biesiada , Shuo Cao , Tong-Hua Liu , 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…

宇宙学与河外天体物理 · 物理学 2017-03-08 Nan Liang , Zhengxiang Li , Puxun Wu , Shuo Cao , Kai Liao , Zong-Hong Zhu

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…

宇宙学与河外天体物理 · 物理学 2017-07-19 Akshay Rana , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee , R. F. L. Holanda

{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…

宇宙学与河外天体物理 · 物理学 2022-02-23 R. F. L. Holanda , F. S. Lima , Akshay Rana , Deepak Jain

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…

宇宙学与河外天体物理 · 物理学 2021-06-30 Kamal Bora , Shantanu Desai

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.…

宇宙学与河外天体物理 · 物理学 2024-02-28 Shun-Jia Huang , En-Kun Li , Jian-dong Zhang , Xian Chen , Zucheng Gao , Xin-yi Lin , Yi-Ming Hu

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…

宇宙学与河外天体物理 · 物理学 2021-02-10 Jin Qin , Fulvio Melia , Tong-Jie Zhang

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,…

宇宙学与河外天体物理 · 物理学 2012-06-29 R. S. Goncalves , R. F. L. Holanda , J. S. Alcaniz

We present a model-independent test of anisotropy in the cosmic distance duality relation (CDDR), $D_L=(1+z)^2 D_A$, using the Pantheon+ type Ia supernova sample and baryon acoustic oscillation (BAO) data. The angular diameter distance is…

宇宙学与河外天体物理 · 物理学 2026-04-07 Pushty Shrimankar , Gopal Kashyap

In this paper, we test the cosmic distance duality relation (CDDR), as required by the Etherington reciprocity theorem, which connects the angular diameter distance and the luminosity distance via the relation \( D_{\rm L}(z) = D_{\rm…

宇宙学与河外天体物理 · 物理学 2025-06-17 Qiumin Wang , Shuo Cao , Jianyong Jiang , Kaituo Zhang , Xinyue Jiang , Tonghua Liu , Chengsheng Mu , Dadian Cheng