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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 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

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

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

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

Double source lensing provides a dimensionless ratio of distance ratios, a "remote viewing" of cosmology through distances relative to the gravitational lens, beyond the observer. We use this to test the cosmological framework, particularly…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-12 Divij Sharma , Thomas E. Collett , Eric V. Linder

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

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

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

Strong lensing has developed into an important astrophysical tool for probing both cosmology and galaxies (their structure, formation, and evolution). Using the gravitational lensing theory and cluster mass distribution model, we try to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Shuo Cao , Yu Pan , Marek Biesiada , Wlodzimierz Godlowski , Zong-Hong Zhu

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

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

Observations in the cosmological domain are heavily dependent on the validity of the cosmic distance-duality (DD) relation, D_L(z) (1 + z)^{2}/D_{A}(z) = 1, an exact result required by the Etherington reciprocity theorem where D_L(z) and…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 R. F. L. Holanda , J. A. S. Lima , M. B. Ribeiro

The light we observe from distant astrophysical objects including supernovae and quasars allows us to determine large distances in terms of a cosmological model. Despite the success of the standard cosmological model in fitting the data,…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-07 Angela L. H. Ng

We demonstrate that the recent measurements of the angular diameter distance of 38 cluster of galaxies using Chandra X-ray data and radio observations from the OVRO and BIMA interferometric arrays place new and independent constraints on…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Francesco De Bernardis , Elena Giusarma , Alessandro Melchiorri

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

The cosmic distance duality (CDD) relation (based on the Etherington reciprocity theorem) plays a crucial role in a wide assortment of cosmological measurements. Attempts at confirming it observationally have met with mixed results, though…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-19 Fulvio Melia

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

Future gravitational wave (GW) observations are capable of detecting millions of compact star binary mergers in extragalactic galaxies, with $1\%$ luminosity-distance ($D_L$) measurement accuracy and better than arcminute positioning…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-30 Pengjie Zhang

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