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Related papers: Two new tests to the distance duality relation wit…

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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…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-18 Xiao-Lei Meng , Tong-Jie Zhang , Hu Zhan , Xin Wang

Double source lensing provides a dimensionless ratio of distance ratios, a "remote viewing" of cosmology through distances relative to the gravitational lens, beyond the observer. We use this to test the cosmological framework, particularly…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-12 Divij Sharma , Thomas E. Collett , Eric V. Linder

We demonstrate that the recent measurements of the angular diameter distance of 38 cluster of galaxies using Chandra X-ray data and radio observations from the OVRO and BIMA interferometric arrays place new and independent constraints on…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Francesco De Bernardis , Elena Giusarma , Alessandro Melchiorri

An important result from self-similar models that describe the process of galaxy cluster formation is the simple scaling relation $Y_{\rm SZE}D_{\rm A}^{2}/C_{\rm XSZE}Y_{\rm X}= C$. In this ratio, $Y_{\rm SZE}$ is the integrated…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 R. F. L. Holanda , W. J. C. da Silva

We investigate deviations from the cosmic distance duality relation adopting model-dependent and -independent approaches using i) a Taylor expansion, ii) a power-law parameterization, iii) a logarithmic correction, iv) a (2;1) Pad\'e…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-05 Anna Chiara Alfano

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…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-23 Xuwei Zhang , Xiaofeng Yang , Yunliang Ren , Shuangnan Chen , Yangjun Shi , Cheng Cheng , Xiaolong He

Studies of galaxy clusters have proved crucial in helping to establish the standard model of cosmology, with a universe dominated by dark matter and dark energy. A theoretical basis that describes clusters as massive, multi-component,…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-26 Steven W. Allen , August E. Evrard , Adam B. Mantz

We compare two different probes of the expansion history of the universe, namely, luminosity distances from type Ia supernovae and angular diameter distances from galaxy clusters, using the Bayesian interpretation of Crossing statistic [1,…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-21 Arman Shafieloo , Subhabrata Majumdar , Varun Sahni , Alexei A. Starobinsky

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

Strong gravitational lensing provides a geometric probe of cosmology in a unique manner through distance ratios involving the source and lens. This is well known for the time delay distance derived from measured delays between lightcurves…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-12 Eric V. Linder

Under the assumption that the gas mass fraction of galaxy clusters estimated out to an outer hydrostatic radius is constant, it is possible to constrain the cosmological parameters by using the angular diameter distance relation with…

Astrophysics · Physics 2011-05-23 Asantha R. Cooray

Galaxy clusters are good targets for examining our understanding of cosmology. Apart from numerical simulations and gravitational lensing, X-ray observation is the most common and conventional way to analyze the gravitational structures of…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-10 Man Ho Chan

Strong lensing has developed into an important astrophysical tool for probing both cosmology and galaxies (their structure, formation, and evolution). Using the gravitational lensing theory and cluster mass distribution model, we try to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Shuo Cao , Yu Pan , Marek Biesiada , Wlodzimierz Godlowski , Zong-Hong Zhu

We use simulated strongly lensed gravitational wave events from the Einstein Telescope to demonstrate how the luminosity and angular diameter distances, $d_L(z)$ and $d_A(z)$ respectively, can be combined to test in a model independent…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-13 Rubén Arjona , Hai-Nan Lin , Savvas Nesseris , Li Tang

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

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

Globular clusters are among the first objects used to establish the distance scale of the Universe. In the 1970-ies it has been recognized that the differential magnitude distribution of old globular clusters is very similar in different…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-20 M. Rejkuba

The distance duality relation (DDR) relates two independent ways of measuring cosmological distances, namely the angular diameter distance and the luminosity distance. These can be measured with baryon acoustic oscillations (BAO) and Type…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-03 Felicitas Keil , Savvas Nesseris , Isaac Tutusaus , Alain Blanchard

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…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-14 Xin Li , Hai-Nan Lin

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