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We investigate the properties of cosmological distances in locally inhomogeneous universes with pressureless matter and dark energy (quintessence), with constant equation of state. We give exact solutions for angular diameter distances in…

Astrophysics · Physics 2009-11-06 M. Sereno , G. Covone , E. Piedipalumbo , R. de Ritis

The Cosmic Distance Duality Relation (CDDR) is a basic relation of standard cosmology. This work tests the CDDR and cosmic transparency using angular diameter distances from DESI DR2, luminosity distances from Pantheon+, and direct…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-23 Xuwei Zhang , Xiaofeng Yang , Yunliang Ren , Shuangnan Chen , Yangjun Shi , Cheng Cheng , Xiaolong He

We use the Hubble Ultra Deep Field (UDF) to study the galaxy luminosity-size (M-Re) distribution. With a careful analysis of selection effects due to both detection completeness and measurement reliability we identify bias-free regions in…

Astrophysics · Physics 2007-05-23 E. Cameron , S. P. Driver

We address the issue of cosmological backreaction from non-linear structure formation by constructing an approximation for the time evolved metric of a dust dominated universe based on a gradient expansion. Our metric begins as a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Kari Enqvist , Shaun Hotchkiss , Gerasimos Rigopoulos

The large-scale structure of the Universe is well approximated by the Friedmann equations, parametrized by several energy densities which can be observationally inferred. A natural question to ask is: How different would the Universe be if…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Arthur G. Suvorov

Assuming that the Universe at higher redshifts (z \sim 4 and beyond) is consistent with LCDM model as constrained by the Planck measurements, we reanalyze the low redshift cosmological data to reconstruct the Hubble parameter as a function…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-18 Koushik Dutta , Ruchika , Anirban Roy , Anjan A. Sen , M. M. Sheikh-Jabbari

We show that the usual relation between redshift and angular-diameter distance can be obtained by considering light from a source to be gravitationally lensed by material that lies in the telescope beam as it passes from source to observer…

Astrophysics · Physics 2008-02-03 Fedja Hadrovic , James Binney

We show that it is possible to equate the intensity reduction of a light wave caused by weak absorption with a geometrical reduction in intensity caused by a "transverse" conformal transformation of the spacetime metric in which the wave…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Bin Chen , Ronald Kantowski

The Universe is not completely homogeneous. Even if it is sufficiently so on large scales, it is very inhomogeneous at small scales, and this has an effect on light propagation, so that the distance as a function of redshift, which in many…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 Phillip Helbig

The Hubble constant problem is that the values of Hubble constant from the observation of cosmic microwave background assuming the LambdaCDM model disagrees with the values from direct measurements. This problem suggests some new physics…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-17 Noriaki Kitazawa

Smoothing over structures in general relativity leads to a renormalisation of the background, and potentially many other effects which are poorly understood. Observables such as the distance-redshift relation when averaged on the sky do not…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Chris Clarkson , Obinna Umeh

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

In a recent paper Davis et al. make the counter intuitive assertion that a galaxy held `tethered' at a fixed distance from our own could emit blueshifted light. Moreover, this effect may be derived from the simplest…

Astrophysics · Physics 2015-06-24 William J. Clavering

Distance-redshift diagrams probe expansion history of the Universe. We show that the stellar mass-binding energy (massE) relation of galaxies proposed in our previous study offers a new distance ruler at cosmic scales. By using elliptical…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-05 Yong Shi , Yanmei Chen , Shude Mao , Qiusheng Gu , Tao Wang , Xiaoyang Xia , Zhi-Yu Zhang

A redshift-magnitude relation for the two exact non-uniform pressure spherically symmetric Stephani universes is presented. The Kristian-Sachs method expanding the relativistic quantities in series is used, but only first order terms in…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-11 Mariusz P. Dabrowski

We estimate the optical depth distribution of dust present in absorption systems along the line of sight of high redshift galaxies and the resulting reddening. We characterize the probability distribution of the transmission to a given…

Astrophysics · Physics 2008-11-26 M. Trenti , M. Stiavelli

We present an analytical approximation formula for the luminosity distance in spatially flat cosmologies with dust and a cosmological constant. We also show the approximate formulae for the so-called Dyer-Roeder distance (empty beam case)…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-30 Masaru Adachi , Masumi Kasai

We derive an expression for the luminosity distance as a function of redshift for a flat Robertson-Walker spacetime perturbed by arbitrary scalar perturbations possibly produced by a modified gravity theory with two different scalar…

Astrophysics · Physics 2009-03-12 Éanna É. Flanagan , Eran Rosenthal , Ira M. Wasserman

The inverse problem with Lema\^itre-Tolman-Bondi (LTB) universe models is discussed. The LTB solution for the Einstein equations describes the spherically symmetric dust-filled spacetime. The LTB solution has two physical functional degrees…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Chul-Moon Yoo

Anisotropies in the distance-redshift relation of cosmological sources are expected due to large-scale inhomogeneities in the local Universe. When the observed sources are tracing a large-scale matter flow in a general spacetime geometry,…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-05 Julian Adamek , Chris Clarkson , Ruth Durrer , Asta Heinesen , Martin Kunz , Hayley J. Macpherson