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The angular diameter distances toward galaxy clusters can be determined with measurements of the Sunyaev-Zel'dovich effect and X-ray surface brightness combined with the validity of the distance-duality relation, $D_L(z) (1 +…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-17 R. F. L. Holanda , J. A. S. Lima , M. B. Ribeiro

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

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 interdependence of luminosity distance, $D_L$ and angular diameter distance, $D_A$ given by the distance duality relation (DDR) is very significant in observational cosmology. It is very closely tied with the temperature- redshift…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-27 Akshay Rana , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee

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

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

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

We test the cosmic distance duality relation (CDDR) using two model-independent methods. Method I is based on the PAge parametrization, which characterizes the expansion history in terms of the cosmic age. Parametrizations of possible CDDR…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-10 Xing Wu

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

In this paper, we use the model dependent method to revisit the constraint on the well-known cosmic distance duality relation (CDDR). By using the latest SNIa samples, such as Union2.1, JLA and SNLS, we find that the SNIa data alone can not…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-28 Meng-Zhen Lv , Jun-Qing Xia

The observation of strongly lensed Type Ia supernovae enables both the luminosity and angular diameter distance to a source to be measured simultaneously using a single observation. This feature can be used to measure the distance duality…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-03 Fabrizio Renzi , Natalie B. Hogg , Matteo Martinelli , Savvas Nesseris

In this work, we perform a cosmological-model-independent test on the cosmic distance duality relation (CDDR) by comparing the angular diameter distance (ADD) obtained from the compact radio quasars (QSOs) with the luminosity distance (LD)…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-19 Fan Yang , Xiangyun Fu , Bing Xu , Kaituo Zhang , Yang Huang , Ying Yang

We perform a cosmological-model-independent test for the distance-duality (DD) relation $\eta(z)=D_L(z)(1+z)^{-2}/D_A(z)$, where $D_L$ and $D_A$ are the luminosity distance and angular diameter distance respectively, with a combination of…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-15 Zhengxiang Li , Puxun Wu , Hongwei Yu

In this work, by using strong gravitational lensing (SGL) observations along with Type Ia Supernovae (Union2.1) and gamma ray burst data (GRBs), we propose a new method to study a possible redshift evolution of $\gamma(z)$, the mass density…

General Relativity and Quantum Cosmology · Physics 2017-08-16 R. F. L. Holanda , S. H. Pereira , Deepak Jain

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

In this paper, we test the cosmic distance duality relation (CDDR), as required by the Etherington reciprocity theorem, which connects the angular diameter distance and the luminosity distance via the relation \( D_{\rm L}(z) = D_{\rm…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-17 Qiumin Wang , Shuo Cao , Jianyong Jiang , Kaituo Zhang , Xinyue Jiang , Tonghua Liu , Chengsheng Mu , Dadian Cheng

Two types of distance measurement are important in cosmological observations, the angular diameter distance $d_A$ and the luminosity distance $d_L$. In the present work, we carried out an assessment of the theoretical relation between these…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-02 Purba Mukherjee , Ankan Mukherjee

We use a series of ray-tracing experiments to determine the magnification distribution of high-redshift sources by gravitational lensing. We determine empirically the relation between magnification and redshift, for various cosmological…

Astrophysics · Physics 2009-11-13 Hugo Martel , Premana Premadi

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

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…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Remya Nair , Sanjay Jhingan , Deepak Jain