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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

Strong gravitational lensing time-delay measurements, together with the distance sum rule (DSR), offer a model-independent approach to probe the geometry and expansion of the universe without relying on a fiducial cosmological model. In…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-04 Darshan Kumar , Deepak Jain , Shobhit Mahajan

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

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

Applying the distance sum rule in strong gravitational lensing (SGL) and type Ia supernova (SN Ia) observations, one can provide an interesting cosmological model-independent method to determine the cosmic curvature parameter $\Omega_k$. In…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-31 Bo Wang , Jing-Zhao Qi , Jing-Fei Zhang , Xin Zhang

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

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

Strong gravitational lensing along with the distance sum rule method can constrain both cosmological parameters as well as density profiles of galaxies without assuming any fiducial cosmological model. To constrain galaxy parameters and…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-17 Darshan Kumar , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee , Nisha Rani

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

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 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

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 distance ratio derived from strong gravitational lensing systems, combined with complementary cosmological observations, offers a model-independent means to investigate the geometry and dynamics of the universe. In this study, we carry…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-04 Darshan Kumar , Deepak Jain , Shobhit Mahajan

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

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

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

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 propose a new model-independent strategy to calibrate the distance relation in Type Ia supernova (SN) observations and to probe the intrinsic properties of SNe Ia, especially the absolute magnitude $M_B$, basing on strong lensing…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-11 Xudong Wen , Kai Liao

Many researchers have performed cosmological-model-independent tests for the distance duality (DD) relation. Theoretical work has been conducted based on the results of these tests. However, we find that almost all of these tests were…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-25 Xi Yang , Hao-Ran Yu , Zhi-Song Zhang , Tong-Jie Zhang