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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

Aiming at comparing different morphological models of galaxy clusters, we use two new methods to make a cosmological model-independent test of the distance-duality (DD) relation. The luminosity distances come from Union2 compilation of…

宇宙学与河外天体物理 · 物理学 2012-01-18 Xiao-Lei Meng , Tong-Jie Zhang , Hu Zhan , Xin Wang

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

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

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

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.…

宇宙学与河外天体物理 · 物理学 2024-12-05 Li Tang , Hai-Nan Lin , Ying Wu

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

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…

宇宙学与河外天体物理 · 物理学 2020-09-16 W. J. C. da Silva , R. F. L. Holanda , R. Silva

We perform a cosmological-model-independent test for the distance-duality (DD) relation $\eta(z)=D_L(z)(1+z)^{-2}/D_A(z)$, where $D_L$ and $D_A$ are the luminosity distance and angular diameter distance respectively, with a combination of…

宇宙学与河外天体物理 · 物理学 2011-02-15 Zhengxiang Li , Puxun Wu , Hongwei Yu

The cosmic distance duality relation is a milestone of cosmology involving the luminosity and angular diameter distances. Any departure of the relation points to new physics or systematic errors in the observations, therefore tests of the…

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

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

Many researchers have performed cosmological-model-independent tests for the distance duality (DD) relation. Theoretical work has been conducted based on the results of these tests. However, we find that almost all of these tests were…

宇宙学与河外天体物理 · 物理学 2013-10-25 Xi Yang , Hao-Ran Yu , Zhi-Song Zhang , Tong-Jie Zhang

The cosmic distance duality (CDD) relation (based on the Etherington reciprocity theorem) plays a crucial role in a wide assortment of cosmological measurements. Attempts at confirming it observationally have met with mixed results, though…

宇宙学与河外天体物理 · 物理学 2018-11-19 Fulvio Melia

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 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

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), $d_L(z) (1 + z)^{2}/d_{A}(z) = \eta$, 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

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 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…

宇宙学与河外天体物理 · 物理学 2015-06-05 Vincenzo F. Cardone , Susanna Spiro , Isobel Hook , Roberto Scaramella

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
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