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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…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 R. S. Gonçalves , A. Bernui , R. F. L. Holanda , J. S. Alcaniz

We compare distance measurements obtained from two distance indicators, Super- novae observations (standard candles) and Baryon acoustic oscillation data (standard rulers). The Union2 sample of supernovae with BAO data from SDSS, 6dFGS and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Remya Nair , Sanjay Jhingan , Deepak Jain

In this paper, we present a cosmological model-independent test for the cosmic opacity at high redshifts ($z\sim5$). We achieve this with the opacity-dependent luminosity distances derived from nonlinear relation between X-ray and UV…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-19 Tonghua Liu , Shuo Cao , Marek Biesiada , Yuting Liu , Shuaibo Geng , Yujie Lian

We investigate whether a violation of the distance duality relation (DDR), $D_L(z) = (1+z)^2 D_A(z)$, connecting the angular diameter and luminosity distances, can explain the Hubble tension and alter the evidence for dynamical dark energy…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-15 Elsa M. Teixeira , William Giarè , Natalie B. Hogg , Thomas Montandon , Adèle Poudou , Vivian Poulin

The luminosity-angular distance relation for an expanding universe is given by $D_L=D_A(1+z)^2$. This relation is commonly proven by geometrical considerations from the source point of view assuming an expanding universe. In this note, the…

General Physics · Physics 2023-05-04 Juan De Vicente

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…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-16 Cong Ma , Pier-Stefano Corasaniti

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

Recent cosmological observations indicate that the present universe is flat and dark energy dominated. In such a universe, the calculation of the luminosity distance, d_L, involve repeated numerical calculations. In this paper, it is shown…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 T. Wickramasinghe , T. N. Ukwatta

The basic cosmological distances are linked by the Etherington cosmic distance duality relation, $\eta (z) = D_{L}(z)(1+z)^{-2}/D_{A}(z) \equiv 1$, where $D_{L}$ and $D_{A}$ are, respectively, the luminosity and angular diameter distances.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 J. A. S. Lima , J. V. Cunha , V. T. Zanchin

The luminosity distance-redshift relation is one of the fundamental tools of modern cosmology. We compute the luminosity distance-redshift relation in a perturbed flat matter-dominated Universe, taking into account the presence of…

Astrophysics · Physics 2009-11-10 Enrico Barausse , Sabino Matarrese , Antonio Riotto

In this paper we analyse the implications of the latest cosmological data sets to test the Etherington's distance duality relation (DDR), which connects the luminosity distance $D_L$ and angular diameter distance $D_A$ at the same redshift.…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-21 Jing-Zhao Qi , Shuo Cao , Chenfa Zheng , Yu Pan , Zejun Li , Jin Li , Tonghua Liu

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

In metric theories of gravity with photon number conservation, the luminosity and angular diameter distances are related via the Etherington relation, also known as the distance-duality relation (DDR). A violation of this relation would…

We present a joint test of cosmic curvature, $\Omega_{k0}$, and the cosmic distance-duality relation (CDDR) using the Etherington relation, which connects the luminosity and angular diameter distances at the same redshift. In this work, we…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-13 Darshan Kumar , Jie Zheng , Zhi-Qiang You , Da-Chun Qiang

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…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-01 R. F. L. Holanda , J. A. S. Lima , M. B. Ribeiro

We present a model independent method to test the consistency between cosmological measurements of distance and age, assuming the distance duality relation. We use type Ia supernovae, baryon acoustic oscillations, and observational Hubble…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Remya Nair , Sanjay Jhingan , Deepak Jain

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

The most recent cosmological observations indicate that the present universe is flat and vacuum dominated. In such a universe, the distance measurements are always difficult and involve numerical computations. In this paper, it is shown…

Astrophysics · Physics 2007-12-06 T. Wickramasinghe

The nature of the dark matter in the Universe is one of the hardest unsolved problems in modern physics. Indeed, on one hand, the overwhelming indirect evidence from astrophysics seems to leave no doubt about its existence; on the other…

High Energy Physics - Phenomenology · Physics 2024-07-16 Marcin Misiaszek , Nicola Rossi

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