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We show that the dipole of the luminosity distance is a useful observational tool which allows us to determine the Hubble parameter as a function of the redshift H(z). We determine the number of supernovae needed to achieve a given…

Astrophysics · Physics 2007-05-23 Camille Bonvin , Ruth Durrer , Martin Kunz

The cosmic distance-duality relation (CDDR), expressed as $ D_L/D_A(1+z)^{-2}=1 $, is a fundamental relation in cosmology connecting luminosity distance ($ D_L $) and angular diameter distance ($ D_A $). Any departure from this relation…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-18 Jian Hu , Yi Liu , Jian-Ping Hu , Zhongmu Li

In this paper, we investigate the possible deviations of the cosmic distance duality relation (CDDR) using the combination of the largest SNe Ia (Pantheon) and compact radio quasar (QSO) samples through two model-independent approaches. The…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-27 Yuan He , Yu Pan , Dong-Ping Shi , Shuo Cao , Wen-Jie Yu , Jing-Wang Diao , Wei-Liang Qian

The dependence of Hubble parameter on redshift can be determined directly from the dipole of luminosity distance to Supernovae Ia. We investigate the possibility of using the data on dipole of the luminosity distance obtained from the…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-06 O. Sergijenko

The shape of the angular power spectrum of galaxies in the linear regime is defined by the horizon size at the matter-radiation equality. When calibrated by cosmic microwave background measurements, the shape of the clustering spectrum can…

Astrophysics · Physics 2011-02-11 Asantha Cooray

Aims: we propose that the condition of relative motion between us and the objects that we observe in the Universe should generate relativistic aberration on the photons that such objects emit, varying the observed flux similarly to the…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-05 Nicolò Cedola

The cosmic distance duality relation (DDR) is constrained from the combination of type-Ia supernovae (SNe Ia) and strong gravitational lensing (SGL) systems using deep learning method. To make use of the full SGL data, we reconstruct the…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-09 Li Tang , Hai-Nan Lin , Liang Liu

We investigate some possible relations between physical observables and estimate the "cosmic variance" which affects these measurements. We focus on redshift and angular-distance and we discuss the difference in considering the redshift as…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-26 Giuseppe Fanizza

Solving null-geodesic equations, behavior of angular diameter distances is studied in inhomogeneous cosmological models, which are given by performing N-body simulations with the CDM spectrum. The distances depend on the separation angle of…

Astrophysics · Physics 2009-10-30 Kenji Tomita

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

The results from the Supernova Cosmology Project indicate a relation between cosmic distance and redshift that corresponds to an accelerating Universe, and, as a consequence, the presence of an energy component with negative pressure. This…

Astrophysics · Physics 2007-05-23 Daniel Enstrom , Sverker Fredriksson , Johan Hansson

The luminosity distance - redshift relation is analytically given for generalized Randall-Sundrum type II brane-world models containing dark radiation. The derived expressions contain both elementary functions and elliptic integrals of the…

Astrophysics · Physics 2009-09-01 Zoltán Keresztes , László Á. Gergely , Botond Nagy , Gyula M. Szabó

The non-linear relation between X-ray and UV luminosity in quasars can be used to estimate their distance. Recently, we have shown that despite the large dispersion of the relation, a Hubble Diagram made of large samples of quasars can…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-10 G. Risaliti , E. Lusso

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

Using a new sub-sample of observed strong gravitational lens systems, for the first time, we present the equation for the angular diameter distance in the $y$-redshift scenario for cosmography and use it to test the cosmographic parameters.…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-08 Andrés Lizardo , Mario H. Amante , Miguel A. García-Aspeitia , Juan Magaña , V. Motta

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…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Satej Khedekar , Sayan Chakraborti

Observations of galaxy clusters (GC's) are a powerful tool to probe the evolution of the Universe at $z<2$. However, the determination of their real shape and structure is not completely understood and the assumption of asphericity is often…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 R. F. L. Holanda , J. S. Alcaniz

Aiming at comparing different morphological models of galaxy clusters, we use two new methods to make a cosmological model-independent test of the distance-duality (DD) relation. The luminosity distances come from Union2 compilation of…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-18 Xiao-Lei Meng , Tong-Jie Zhang , Hu Zhan , Xin Wang

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

The distance duality relation (DDR) between luminosity and angular diameter distances holds if gravity is described by a metric theory and the universe is transparent. Recent cosmological inferences using Type Ia supernovae (SNe~Ia), baryon…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-01 S. Dhawan , E. Mörtsell