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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 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 propose a new consistent method to test of the distance-duality (DD) relation which related angular diameter distances (DA) to the luminosity distances (DL) in a cosmology-independent way. In order to avoid any bias brought by redshift…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-08 Nan Liang , Zhengxiang Li , Puxun Wu , Shuo Cao , Kai Liao , Zong-Hong Zhu

We use simulated strongly lensed gravitational wave events from the Einstein Telescope to demonstrate how the luminosity and angular diameter distances, $d_L(z)$ and $d_A(z)$ respectively, can be combined to test in a model independent…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-13 Rubén Arjona , Hai-Nan Lin , Savvas Nesseris , Li Tang

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 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

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

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

Measurements of strong gravitational lensing jointly with type Ia supernovae (SNe Ia) observations have been used to test the validity of the cosmic distance duality relation (CDDR), $D_L(z)/[(1+z)^2D_A(z)]=\eta=1$, where $D_L(z)$ and…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 R. F. L. Holanda , V. C. Busti , F. S. Lima , J. S. Alcaniz

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

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 propose a new method to test the cosmic distance duality relation using the strongly lensed gravitational waves. The simultaneous observations of image positions, the relative time delay between different images, the redshift…

General Relativity and Quantum Cosmology · Physics 2020-04-23 Hai-Nan Lin , Xin Li

We present a comprehensive test of the cosmic distance duality relation (DDR) using a combination of strong gravitational lensing (SGL) time delay measurements and Type Ia supernovae (SNe Ia) data. We investigate three different…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-16 Jing-Zhao Qi , Yi-Fan Jiang , Wan-Ting Hou , Xin Zhang

In this paper, we propose an accurate test of the distance-duality (DD) relation, $\eta=D_{L}(z)(1+z)^{-2}/D_{A}(z)=1$ (where $D_{L}$ and $D_{A}$ are the luminosity distances and angular diameter distances, respectively), with a combination…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Shuo Cao , Nan Liang

A validation of the cosmic distance duality (CDD) relation, eta(z)=(1+z)^2 d_A(z)/d_L(z)=1, coupling the luminosity (d_L) and angular-diameter (d_A) distances, is crucial because its violation would require exotic new physics. We present a…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-19 Cheng-Zong Ruan , Fulvio Melia , Tong-Jie Zhang

We present a cosmological model-independent determination of the Hubble constant, $H_0$, by combining time-delay measurements from seven TDCOSMO systems, Einstein radius measurements, and Type Ia Supernovae data sourced from the Pantheon+…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-28 L. R. Colaço , R. F. L. Holanda , Z. C. Santana , R. Silva

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 paper, we carry out an assessment of cosmic distance duality relation (CDDR) based on the latest observations of HII galaxies acting as standard candles and ultra-compact structure in radio quasars acting as standard rulers.…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-19 Tonghua Liu , Shuo Cao , Sixuan Zhang , Xiaolong Gong , Wuzheng Guo , Chenfa Zheng

In this letter, we propose an improved cosmological model independent method of determining the value of the Hubble constant $H_0$. The method uses unanchored luminosity distances $H_0d_L(z)$ from SN Ia Pantheon data combined with angular…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-19 Tonghua Liu , Xiyan Yang , Zisheng Zhang , Jieci Wang , Marek Biesiada

The cosmic distance-duality relation (CDDR), expressed as $ D_L/D_A(1+z)^{-2}=1 $, is a fundamental relation in cosmology connecting luminosity distance ($ D_L $) and angular diameter distance ($ D_A $). Any departure from this relation…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-18 Jian Hu , Yi Liu , Jian-Ping Hu , Zhongmu Li