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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

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

We present a derivation of the cosmological distance-redshift relation up to second order in perturbation theory. In addition, we find the observed redshift and the lensing magnification to second order. We do not require that the density…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Obinna Umeh , Chris Clarkson , Roy Maartens

The basic cosmological distances are linked by the Etherington cosmic distance duality relation, $\eta (z) = D_{L}(z)(1+z)^{-2}/D_{A}(z) \equiv 1$, where $D_{L}$ and $D_{A}$ are, respectively, the luminosity and angular diameter distances.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 J. A. S. Lima , J. V. Cunha , V. T. Zanchin

The cosmic distance relation (DDR) associates the angular diameters distance ($D_A$) and luminosity distance ($D_L$) by a simple formula, i.e., $D_L=(1+z)^2D_A$. The strongly lensed gravitational waves (GWs) provide a unique way to measure…

General Relativity and Quantum Cosmology · Physics 2021-01-19 Hai-Nan Lin , Xin Li , Li Tang

We obtain the current constraint on the minimally extended varying speed of light (meVSL) model by analyzing cosmic distance duality relation (CCDDR) of it, $D_{L}/D_{A}(1+z)^{-2} = (1+z)^{b/8}$. We use the Pantheon type Ia supernova (SNIa)…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-16 Seokcheon Lee

We update constraints on cosmic opacity by combining recent SN Type Ia data compilation with the latest measurements of the Hubble expansion at redshifts between 0 and 2. The new constraint on the parameter $\epsilon$ parametrising…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Anastasios Avgoustidis , Clare Burrage , Javier Redondo , Licia Verde , Raul Jimenez

The assumptions that "light propagates along null geodesics of the spacetime metric" and "the number of photons is conserved along the light path" lead to the distance duality relation (DDR), $\eta = D_L(z) (1 + z)^{-2}/D_A(z) = 1$, with…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Vincenzo F. Cardone , Susanna Spiro , Isobel Hook , Roberto Scaramella

In addition to cosmological tests based on the mass function and clustering of galaxy clusters, which probe the growth of cosmic structure, nature offers two independent ways of using clusters to measure cosmic distances. The first uses…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-01 S. W. Allen , A. B. Mantz , R. G. Morris , D. E. Applegate , P. L. Kelly , A. von der Linden , D. A. Rapetti , R. W. Schmidt

The cosmic distance duality relation (CDDR), expressed as DL(z) = (1 + z)2DA(z), plays an important role in modern cosmology. In this paper, we propose a new method of testing CDDR using strongly lensed gravitational wave (SLGW) signals.…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-28 Shun-Jia Huang , En-Kun Li , Jian-dong Zhang , Xian Chen , Zucheng Gao , Xin-yi Lin , Yi-Ming Hu

We present a fitting formula for the luminosity and angular diameter distances in cosmological models with pressureless matter, a cosmological constant and zero spatial curvature. The formula has a relative error of less than 0.4% for…

Astrophysics · Physics 2011-05-23 Ue-Li Pen

We show that gravitational theories with a nonminimal coupling (NMC) to the matter fields lead to a violation of Etherington's distance-duality relation, which relates the luminosity and angular diameter distances. We derive constraints on…

General Relativity and Quantum Cosmology · Physics 2021-10-25 R. P. L. Azevedo , P. P. Avelino

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

An important result from self-similar models that describe the process of galaxy cluster formation is the simple scaling relation $Y_{\rm SZE}D_{\rm A}^{2}/C_{\rm XSZE}Y_{\rm X}= C$. In this ratio, $Y_{\rm SZE}$ is the integrated…

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

Formulae for the line-of-sight and transverse comoving distances, proper motion distance, angular diameter distance, luminosity distance, k-correction, distance modulus, comoving volume, lookback time, age, and object intersection…

Astrophysics · Physics 2007-05-23 David W. Hogg

The measurement of angular diameter distance to galaxy clusters, through combined Sunyaev-Zel'dovich (SZ) effect data with X-ray emission observations, is now a well-known probe of cosmology. Using a combination of SZ data and a map of the…

Astrophysics · Physics 2009-11-07 Asantha Cooray

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

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

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

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
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