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Related papers: Forecasting constraints on the cosmic duality rela…

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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

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

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

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

This is the third of a series of papers in which we derive simultaneous constraints on cosmological parameters and X-ray scaling relations using observations of the growth of massive, X-ray flux-selected galaxy clusters. Our data set…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 David Rapetti , Steven W. Allen , Adam Mantz , Harald Ebeling

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…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-19 Liu Tonghua , Cao Shuo , Ma Shuai , Liu Yuting , Zheng Chenfa , Wang Jieci

We present forecasted cosmological constraints from combined measurements of galaxy cluster abundances from the Simons Observatory and galaxy clustering from a DESI-like experiment on two well-studied modified gravity models, the…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-05 Rayne Liu , Georgios Valogiannis , Nicholas Battaglia , Rachel Bean

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}…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-21 Yukang Xie , Yang Liu , Puxun Wu , Xiangyun Fu , Nan Liang

X-ray and Sunyaev-Zel'dovich data of clusters of galaxies enable to construct a test of the distance duality relation between the angular and luminosity distances. We argue that such a test on large cluster samples may be of importance…

Astrophysics · Physics 2009-11-10 Jean-Philippe Uzan , Nabila Aghanim , Yannick Mellier

The distance-duality relation (DDR) between the luminosity distance $D_L$ and the angular diameter distance $D_A$ is viewed as a powerful tool for testing for the opacity of the Universe, being independent of any cosmological model. It was…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-22 Vaclav Vavrycuk , Pavel Kroupa

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…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-14 Shubham Barua , Sujit K. Dalui , Rikiya Okazaki , Shantanu Desai

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

We report on analyses of cluster samples obtained from the Hubble Volume Simulations. These simulations, an $\Omega=1$ model named $\tau$CDM and a flat low $\Omega$ model with a cosmological constant ($\Lambda$CDM), comprise the largest…

The validity of distance duality relation, $\eta=D_L(z)(1+z)^{-2}/D_A(z)=1$, an exact result required by the Etherington reciprocity theorem, where $D_A(z)$ and $D_L(z)$ are the angular and luminosity distances, plays an essential part in…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-15 Shuo Cao , Zong-Hong Zhu

We place constraints on the average density (Omega_m) and clustering amplitude (sigma_8) of matter using a combination of two measurements from the Sloan Digital Sky Survey: the galaxy two-point correlation function, w_p, and the…

In this study, we used geometric distances at high redshifts (both luminosity and angular) to perform a cosmographic analysis with the Pad\'e method, which stabilizes the behaviour of the cosmographic series in this redshift regime.…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-29 José F. Jesus , Mikael J. S. Gomes , Rodrigo F. L. Holanda , Rafael C. Nunes

Many new strong gravitational lensing (SGL) systems have been discovered in the last two decades with the advent of powerful new space and ground-based telescopes. The effect of the lens mass model (usually the power-law mass model) on…

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

We present a very large high-resolution cosmological N-body simulation, the Millennium-XXL or MXXL, which uses 303 billion particles to represent the formation of dark matter structures throughout a 4.1Gpc box in a LambdaCDM cosmology. We…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 R. E. Angulo , V. Springel , S. D. M. White , A. Jenkins , C. M. Baugh , C. S. Frenk

We critically investigate current statistical tests applied to high redshift clusters of galaxies in order to test the standard cosmological model and describe their range of validity. We carefully compare a sample of high-redshift,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Ben Hoyle , Raul Jimenez , Licia Verde , Shaun Hotchkiss

In addition to cosmological tests based on the mass function and clustering of galaxy clusters, which probe the growth of cosmic structure, nature offers two independent ways of using clusters to measure cosmic distances. The first uses…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-01 S. W. Allen , A. B. Mantz , R. G. Morris , D. E. Applegate , P. L. Kelly , A. von der Linden , D. A. Rapetti , R. W. Schmidt