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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…

宇宙学与河外天体物理 · 物理学 2018-09-05 Hai-Nan Lin , Ming-Hua Li , Xin Li

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…

宇宙学与河外天体物理 · 物理学 2021-11-01 R. S. Gonçalves , A. Bernui , R. F. L. Holanda , J. S. Alcaniz

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…

宇宙学与河外天体物理 · 物理学 2021-11-01 R. F. L. Holanda , V. C. Busti , J. S. Alcaniz

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

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…

宇宙学与河外天体物理 · 物理学 2026-05-18 Jian Hu , Yi Liu , Jian-Ping Hu , Zhongmu Li

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…

宇宙学与河外天体物理 · 物理学 2021-11-01 R. F. L. Holanda , L. R. Colaço , S. H. Pereira , R. Silva

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

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…

宇宙学与河外天体物理 · 物理学 2019-01-23 Tao Yang , R. F. L. Holanda , Bin Hu

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 +…

宇宙学与河外天体物理 · 物理学 2012-02-17 R. F. L. Holanda , J. A. S. Lima , M. B. Ribeiro

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…

宇宙学与河外天体物理 · 物理学 2021-11-01 R. F. L. Holanda , V. C. Busti , F. S. Lima , J. S. Alcaniz

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

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

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…

宇宙学与河外天体物理 · 物理学 2024-02-19 Liu Tonghua , Cao Shuo , Ma Shuai , Liu Yuting , Zheng Chenfa , Wang Jieci

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…

宇宙学与河外天体物理 · 物理学 2015-05-28 Shuo Cao , Nan Liang

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

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…

宇宙学与河外天体物理 · 物理学 2018-07-16 Cong Ma , Pier-Stefano Corasaniti

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

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

{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

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…

宇宙学与河外天体物理 · 物理学 2016-05-16 Kai Liao , Zhengxiang Li , Shuo Cao , Marek Biesiada , Xiaogang Zheng , Zong-Hong Zhu
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