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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

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

Deviations from the so-called {\it cosmic distance duality relation} may result from systematic errors in distance measurements or, more interestingly, hint at new physics. Further, it can also be related to the Hubble constant tension…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-12 Anna Chiara Alfano , Carlo Cafaro , Salvatore Capozziello , Orlando Luongo , Marco Muccino

We give an overview of the current understanding of Type Ia supernovae relevant for their use as cosmological distance indicators. We present the physical basis to understand their homogeneity of the observed light curves and spectra and…

Astrophysics · Physics 2015-06-24 P. Hoeflich , C. Gerardy , E. Linder , H. Marion

There is an apparent tension between cosmological parameters obtained from {\it Planck} cosmic microwave background radiation observations and that derived from the observed magnitude-redshift relation for the type Ia supernova (SNe Ia).…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-31 Zhengxiang Li , Puxun Wu , Hongwei Yu , Zong-Hong Zhu

We use the newly published 28 observational Hubble parameter data ($H(z)$) and current largest SNe Ia samples (Union2.1) to test whether the universe is transparent. Three cosmological-model-independent methods (nearby SNe Ia method,…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-15 Kai Liao , Zhengxiang Li , Jing Ming , Zong-Hong Zhu

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

We propose a consistency test of some recent X-ray gas mass fraction ($f_{\rm{gas}}$) measurements in galaxy clusters, using the cosmic distance-duality relation, $\eta_{\rm{theory}}=\dl(1+z)^{-2}/\da$, with luminosity distance ($\dl$) data…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Xin Wang , Xiao-Lei Meng , Y. F. Huang , Tong-Jie Zhang

We present a simple and promising new method to measure the expansion rate and the geometry of the universe that combines observations related to the time delays between the multiple images of time-varying sources, strongly lensed by galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-06 A. Acebron , S. Schuldt , C. Grillo , P. Bergamini , G. Granata , U. Mestric , G. B. Caminha , M. Meneghetti , A. Mercurio , P. Rosati , S. H. Suyu , E. Vanzella

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

Most of current cosmological theories are built combining an isotropic and homogeneous manifold with a scale factor that depends on time. If one supposes a hyperconical universe with linear expansion, an inhomogeneous metric can be obtained…

General Relativity and Quantum Cosmology · Physics 2018-10-02 Robert Monjo

The cosmic distance duality relation (CDDR), eta(z)=(1+z)^2 d_A(z)/d_L(z)=1, is one of the most fundamental and crucial formulae in cosmology. This relation couples the luminosity and angular diameter distances, two of the most often used…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-10 Jin Qin , Fulvio Melia , Tong-Jie Zhang

The cosmic distance duality relation (DDR), which links the angular diameter distance and the luminosity distance, is a cornerstone in modern cosmology. Any deviation from DDR may indicate new physics beyond the standard cosmological model.…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-05 Li Tang , Hai-Nan Lin , Ying Wu

We use current measurements of the expansion rate $H(z)$ and cosmic background radiation bounds on the spatial curvature of the Universe to impose cosmological model-independent constraints on cosmic opacity. To perform our analyses, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 R. F. L. Holanda , J. C. Carvalho , J. S. Alcaniz

We test the validity of the cosmic distance duality relation (CDDR) by combining angular diameter distance and luminosity distance measurements from recent cosmological observations. For the angular diameter distance, we use data from…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-10 Felipe Avila , Fernanda Oliveira , Camila Franco , Maria Lopes , Rodrigo Holanda , Rafael C. Nunes , Armando Bernui

The standard concordance model of the Universe is based on the cosmological constant as the driver of accelerating expansion. This concordance model is being subjected to a growing range of inter-locking observations. In addition to using…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Sahba Yahya , Marina Seikel , Chris Clarkson , Roy Maartens , Mathew Smith

Context: Planetary Nebula distance scales often suffer for model dependent solutions. Model independent trigonometric parallaxes have been rare. Space based trigonometric parallaxes are now available for a larger sample using the second…

Solar and Stellar Astrophysics · Physics 2018-08-15 Stefan Kimeswenger , Daniela Barría

Our real universe is locally inhomogeneous. Dyer and Roeder introduced the smoothness parameter $\alpha$ to describe the influence of local inhomogeneity on angular diameter distance, and they obtained the angular diameter distance-redshift…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-17 Xi Yang , Hao-Ran Yu , Tong-Jie Zhang

We investigate deviations from the cosmic distance duality relation adopting model-dependent and -independent approaches using i) a Taylor expansion, ii) a power-law parameterization, iii) a logarithmic correction, iv) a (2;1) Pad\'e…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-05 Anna Chiara Alfano

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