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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

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

Cosmic distances can be measured using two complementary probes: Type Ia supernovae (SN Ia), serving as standard candles, and baryon acoustic oscillations (BAO), serving as standard rulers. The luminosity distance derived from supernovae…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-22 Hyeok Woo , William Luke Matthewson , Arman Shafieloo

The cosmic distance-duality relation (CDDR), $d_L(z) (1 + z)^{2}/d_{A}(z) = \eta$, where $\eta = 1$ and $d_L(z)$ and $d_A(z)$ are, respectively, the luminosity and the angular diameter distances, holds as long as the number of photons is…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 R. S. Gonçalves , A. Bernui , R. F. L. Holanda , J. S. Alcaniz

The distance duality relation (DDR) is valid in Riemannian spacetime. The astronomical data hint that the universe may have certain preferred direction. If the universe is described by anisotropic cosmological models based on Riemannian…

General Relativity and Quantum Cosmology · Physics 2018-11-20 Xin Li , Li Tang , Hai-Nan Lin

Observations of high-redshift Type Ia supernovae (SNe~Ia) are used to study the cosmic transparency at optical wavelengths. Assuming a flat $\Lambda$CDM cosmological model based on BAO and CMB results, redshift dependent deviations of SN~Ia…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-16 Ariel Goobar , Suhail Dhawan , Daniel Scolnic

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

Many new strong gravitational lensing (SGL) systems have been discovered in the last two decades with the advent of powerful new space and ground-based telescopes. The effect of the lens mass model (usually the power-law mass model) on…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 F. S. Lima , R. F. L. Holanda , S. H. Pereira , W. J. C. da Silva

This research explores the correlation between the absolute magnitude and the redshift of Type Ia supernovae (SNe Ia) with a model-independent approach. The Pantheon sample of SNe Ia and strong gravitational lensing systems (SGLS) are used.…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-19 Jian Hu , Jian-Ping Hu , Zhongmu Li , Wenchang Zhao , Jing Chen

The invariance of the speed of light in the distant universe has profound significance for fundamental physics. In this paper, we propose a new model-independent method to test the invariance of the speed of light $c$ at different redshifts…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-19 Tonghua Liu , Shuo Cao , Marek Biesiada , Yuting Liu , Yujie Lian , Yilong Zhang

A major recent evelopment in observational cosmology has been an accurate measurement of the luminosity distance-redshift relation out to redshifts z=0.8 from Type Ia supernova standard candles. The results have been argued as evidence for…

Astrophysics · Physics 2016-01-13 Neil Trentham

In the present work, we apply consistency relation tests to several cosmological models, including the flat and non-flat $\Lambda$CDM models, as well as the flat XCDM model. The analysis uses a non-parametric Gaussian Processes method to…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-20 J. F. Jesus , A. A. Escobal , R. Valentim , S. H. Pereira

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

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

We present a new model-independent method to determine the spatial curvature and to mitigate the circularity problem affecting the use of quasars as distance indicators. The cosmic-chronometer measurements are used to construct the…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-29 Jun-Jie Wei , Fulvio Melia

Cosmic opacity may vary spatially due to the inhomogeneous distribution of dust, its grain properties, and the efficiency of photon attenuation. In this work, we present a model independent method to investigate the variation of cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-29 Savita Gahlaut , Meetu Luthra

The cosmic distance ladder is the succession of techniques by which it is possible to determine distances to astronomical objects. Here, we present a new method to build the cosmic distance ladder, going from local astrophysical…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-09 David Camarena , Valerio Marra

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

Distance duality relation (DDR) marks a fundamental difference between expanding and nonexpanding Universes, as an expanding metric causes angular diameter distance smaller than luminosity distance by an extra factor of $(1+z)$. Here we…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-29 Pengfei Li

Redshift-independent distances underpin much of astrophysics, and there exists a plethora of methods to estimate them. However, the extent to which the distances they imply are consistent, while crucial for the integrity of the distance…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-24 José Antonio Nájera , Harry Desmond