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We present the supernova (SN) sample and Type-Ia SN (SN Ia) rates from the Cluster Lensing And Supernova survey with Hubble (CLASH). Using the Advanced Camera for Surveys and the Wide Field Camera 3 on the Hubble Space Telescope (HST), we…

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…

宇宙学与河外天体物理 · 物理学 2026-02-20 Jéferson A. S. Fortunato , Surajit Kalita , Amanda Weltman

The Cosmic Distance Duality Relation (CDDR) connects the angular diameter distance ($d_A$) and the luminosity distance ($d_L$) at a given redshift. This fundamental relation holds in any metric theory of gravity, provided that photon number…

宇宙学与河外天体物理 · 物理学 2026-01-15 Brijesh Kanodia , Ujjwal Upadhyay , Yashi Tiwari

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…

宇宙学与河外天体物理 · 物理学 2025-12-02 Purba Mukherjee , Ankan Mukherjee

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…

宇宙学与河外天体物理 · 物理学 2018-11-19 Fulvio Melia

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…

天体物理学 · 物理学 2009-11-10 Bruce A. Bassett , Martin Kunz

As is well known, measurements of the Sunyaev-Zeldovich effect can be combined with observations of the X-ray surface brightness of galaxy clusters to estimate the angular diameter distance to these structures. In this paper, we show that…

宇宙学与河外天体物理 · 物理学 2021-11-01 R. F. L. Holanda , V. C. Busti , L. R. Colaço , J. S. Alcaniz , S. J. Landau

X-ray and Sunyaev-Zel'dovich data of clusters of galaxies enable to construct a test of the distance duality relation between the angular and luminosity distances. We argue that such a test on large cluster samples may be of importance…

天体物理学 · 物理学 2009-11-10 Jean-Philippe Uzan , Nabila Aghanim , Yannick Mellier

We compare two different probes of the expansion history of the universe, namely, luminosity distances from type Ia supernovae and angular diameter distances from galaxy clusters, using the Bayesian interpretation of Crossing statistic [1,…

宇宙学与河外天体物理 · 物理学 2013-05-21 Arman Shafieloo , Subhabrata Majumdar , Varun Sahni , Alexei A. Starobinsky

The distance duality relation (DDR) relates two independent ways of measuring cosmological distances, namely the angular diameter distance and the luminosity distance. These can be measured with baryon acoustic oscillations (BAO) and Type…

宇宙学与河外天体物理 · 物理学 2025-12-03 Felicitas Keil , Savvas Nesseris , Isaac Tutusaus , Alain Blanchard

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…

宇宙学与河外天体物理 · 物理学 2025-04-15 Elsa M. Teixeira , William Giarè , Natalie B. Hogg , Thomas Montandon , Adèle Poudou , Vivian Poulin

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…

宇宙学与河外天体物理 · 物理学 2019-11-04 Kai Liao

Under certain general conditions in an expanding universe, the luminosity distance (d_L) and angular diameter distance (d_A) are connected by the Etherington relation as d_L = d_A (1 + z)^2. The Tolman test suggests the use of objects of…

宇宙学与河外天体物理 · 物理学 2015-03-19 Satej Khedekar , Sayan Chakraborti

In this work, we test the cosmic distance duality relation (CDDR) using the arbitrary redshift pivot Pad\'e-(2,1) expansion methodology developed in arXiv:2509.16196. This approach allows us to constrain cosmography parameters and test CDDR…

宇宙学与河外天体物理 · 物理学 2026-01-14 Shubham Barua , Sujit K. Dalui , Rikiya Okazaki , Shantanu Desai

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…

广义相对论与量子宇宙学 · 物理学 2018-11-20 Xin Li , Li Tang , Hai-Nan Lin

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…

天体物理学 · 物理学 2016-01-13 Neil Trentham

The Etherington reciprocity theorem, or distance duality relation (DDR), relates the mutual scaling of cosmic distances in any metric theory of gravity where photons are massless and propagate on null geodesics. In this paper, we make use…

宇宙学与河外天体物理 · 物理学 2022-05-19 Fabrizio Renzi , Natalie B. Hogg , William Giarè

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…

宇宙学与河外天体物理 · 物理学 2025-09-10 Felipe Avila , Fernanda Oliveira , Camila Franco , Maria Lopes , Rodrigo Holanda , Rafael C. Nunes , Armando Bernui