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The cosmic distance duality relation (CDDR), expressed as $d_L(z) = (1+z)^2 D_A(z)$, is a fundamental relation in modern cosmology. In this work, we apply a method to test the CDDR using simulated strongly lensed gravitational-wave (SLGW)…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-25 Yong Yuan , Minghui Du , Benyang Zhu , Xin-yi Lin , Wen-Fan Feng , Peng Xu , Xilong Fan

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 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

The first observational evidence for cosmic acceleration appeared from Type Ia supernovae (SNe Type Ia) Hubble diagram from two different groups. However, the empirical treatment of SNe Type Ia and their ability to show cosmic acceleration…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-01 Darshan Kumar , Akshay Rana , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee , R. F. L. Holanda

Testing the cosmic distance duality relation (CDDR) constitutes an important task for cosmology and fundamental physics since any violation of it would be a clear evidence of new physics. In this {\it Letter}, we propose a new test for the…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-29 R. F. L. Holanda , R. S. Goncalves , J. S. Alcaniz

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

The cosmic distance duality relates the angular-diameter and luminosity distances and its possible violation may puzzle the standard cosmological model. This appears particularly interesting in view of the recent results found by the DESI…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-28 Anna Chiara Alfano , Orlando Luongo

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 use gravitational wave (GW) standard sirens, in addition to Type Ia supernovae (SNIa) and baryon acoustic oscillation (BAO) mock data, to forecast constraints on the electromagnetic and gravitational distance duality relations (DDR). We…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-15 Natalie B. Hogg , Matteo Martinelli , Savvas Nesseris

In this paper, we carry out a new model-independent cosmological test for the cosmic distance duality relation~(CDDR) by combining the latest five baryon acoustic oscillations (BAO) measurements and the Pantheon type Ia supernova (SNIa)…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-02 Bing Xu , Zhenzhen Wang , Kaituo Zhang , Qihong Huang , Jianjian Zhang

One of the most crucial tests of the standard cosmological model consists on testing possible variations on fundamental physical constants. In frameworks such as the minimally extended varying speed of light model (meVSL), the relationship…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-01 Jaiane Santos , Carlos Bengaly , Rodrigo S. Gonçalves

The cosmic distance duality relation (CDDR), expressed as DL(z) = (1 + z)2DA(z), plays an important role in modern cosmology. In this paper, we propose a new method of testing CDDR using strongly lensed gravitational wave (SLGW) signals.…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-28 Shun-Jia Huang , En-Kun Li , Jian-dong Zhang , Xian Chen , Zucheng Gao , Xin-yi Lin , Yi-Ming Hu

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

{In this paper, we use large scale structure observations to test the redshift dependence of cosmic distance duality relation (CDDR), $D_{\rm L}(1+z)^{-2}/D_{\rm A}=\eta(z)$}, with $D_{\rm L}$ and $D_{\rm A}$, being the luminosity and…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-23 R. F. L. Holanda , F. S. Lima , Akshay Rana , Deepak Jain

Our real universe is locally inhomogeneous. Dyer and Roeder introduced the smoothness parameter $\alpha$ to describe the influence of local inhomogeneity on angular diameter distance, and they obtained the angular diameter distance-redshift…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-17 Xi Yang , Hao-Ran Yu , Tong-Jie Zhang

General relativity reproduces main current cosmological observations, assuming the validity of cosmic distance duality relation (CDDR) at all scales and epochs. However, CDDR is poorly tested in the redshift interval between the farthest…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-08 Xiaogang Zheng , Kai Liao , Marek Biesiada , Shuo Cao , Tong-Hua Liu , Zong-Hong Zhu

We obtain the current constraint on the minimally extended varying speed of light (meVSL) model by analyzing cosmic distance duality relation (CCDDR) of it, $D_{L}/D_{A}(1+z)^{-2} = (1+z)^{b/8}$. We use the Pantheon type Ia supernova (SNIa)…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-16 Seokcheon Lee

In this letter, the distance-duality (DD) relation is reconstructed by Gaussian process (GP) which is cosmological model-independent. Generally, the GP plays two important roles. One is to shape the $\eta$ tendency which denotes the…

Cosmology and Nongalactic Astrophysics · Physics 2015-01-07 Yi Zhang

In cosmology, distances based on standard candles (e.g. supernovae) and standard rulers (e.g. baryon oscillations) agree as long as three conditions are met: (1) photon number is conserved, (2) gravity is described by a metric theory with…

Astrophysics · Physics 2009-11-10 Bruce A. Bassett , Martin Kunz

Modifications of gravity generated by a multiplicative coupling of a scalar field to the electromagnetic Lagrangian lead to a breaking of Einstein equivalence principle (EEPB) as well as to variations of fundamental constants. In these…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 R. F. L. Holanda , K. N. N. O. Barros