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The Etherington distance duality relation is well-established for metric theories of gravity, and confirms the duality between the luminosity distance and the angular diameter distance through the conservation of surface brightness. A…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-07 Eileen Sophie Giesel , Basundhara Ghosh , Björn Malte Schäfer

We consider light propagation in a spacetime whose kinematics allow weak birefringence, and whose dynamics have recently been derived by gravitational closure. Revisiting the definitions of luminosity and angular diameter distances in this…

General Relativity and Quantum Cosmology · Physics 2017-07-06 Frederic P. Schuller , Marcus C. Werner

We carry out a test of the fundamental Etherington relation (cosmic distance duality relation) which relates the luminosity distance $D_{\rm L}$ and angular diameter distance $D_{\rm A}$ in metric theories of gravity. We use the latest…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-06 Sourav Das , Surhud More , Shadab Alam

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

We show that gravitational theories with a nonminimal coupling (NMC) to the matter fields lead to a violation of Etherington's distance-duality relation, which relates the luminosity and angular diameter distances. We derive constraints on…

General Relativity and Quantum Cosmology · Physics 2021-10-25 R. P. L. Azevedo , P. P. Avelino

The Etherington reciprocity theorem, or distance duality relation (DDR), relates the mutual scaling of cosmic distances in any metric theory of gravity where photons are massless and propagate on null geodesics. In this paper, we make use…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-19 Fabrizio Renzi , Natalie B. Hogg , William Giarè

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

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 paper we prove a number of exact relations between optical observables, such as trigonometric parallax, position drift and the proper motion of a luminous source in addition to the variations of redshift and the viewing angle. These…

General Relativity and Quantum Cosmology · Physics 2025-05-13 Mikołaj Korzyński , Nezihe Uzun

We study the frame dependence/independence of cosmological observables under disformal transformations, extending the previous results regarding conformal transformations, and provide the correspondence between Jordan-frame and…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Takeshi Chiba , Fabio Chibana , Masahide Yamaguchi

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…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-16 Kai Liao , Zhengxiang Li , Shuo Cao , Marek Biesiada , Xiaogang Zheng , Zong-Hong Zhu

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…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Vincenzo F. Cardone , Susanna Spiro , Isobel Hook , Roberto Scaramella

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

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…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-23 Tao Yang , R. F. L. Holanda , Bin Hu

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 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…

General Relativity and Quantum Cosmology · Physics 2014-03-11 S Jhingan , D Jain , R Nair

We derive an expression for the luminosity distance as a function of redshift for a flat Robertson-Walker spacetime perturbed by arbitrary scalar perturbations possibly produced by a modified gravity theory with two different scalar…

Astrophysics · Physics 2009-03-12 Éanna É. Flanagan , Eran Rosenthal , Ira M. Wasserman

Conservation of the phase-space density of photons plus Lorentz invariance requires that the cosmological luminosity distance be larger than the angular diameter distance by a factor of $(1+z)^2$, where $z$ is the redshift. Because this is…

Astrophysics · Physics 2011-02-11 Surhud More , Jo Bovy , David W. Hogg

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.…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-05 Li Tang , Hai-Nan Lin , Ying Wu

We test the Etherington cosmic distance-duality relation (CDDR), by comparing Type Ia supernova (SNIa) luminosity-distance information from the Pantheon+ compilation with an angular-diameter-distance reconstructed from localized Fast Radio…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-20 Jéferson A. S. Fortunato , Surajit Kalita , Amanda Weltman
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