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Machine learning has become widely used in astronomy. Gaussian Process (GP) regression in particular has been employed a number of times to fit or re-sample supernova (SN) light-curves, however by their nature typical GP models are not…

Solar and Stellar Astrophysics · Physics 2022-12-14 H. F. Stevance , A. Lee

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

We use simulated strongly lensed gravitational wave events from the Einstein Telescope to demonstrate how the luminosity and angular diameter distances, $d_L(z)$ and $d_A(z)$ respectively, can be combined to test in a model independent…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-13 Rubén Arjona , Hai-Nan Lin , Savvas Nesseris , Li Tang

We put forward a new model-independent reconstruction scheme for dark energy which utilises the expected geometrical features of the luminosity-distance relation. The important advantage of this scheme is that it does not assume explicit…

Astrophysics · Physics 2008-11-26 Stephane Fay , Reza Tavakol

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 interdependence of luminosity distance, $D_L$ and angular diameter distance, $D_A$ given by the distance duality relation (DDR) is very significant in observational cosmology. It is very closely tied with the temperature- redshift…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-27 Akshay Rana , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee

The validity of distance duality relation, $\eta=D_L(z)(1+z)^{-2}/D_A(z)=1$, an exact result required by the Etherington reciprocity theorem, where $D_A(z)$ and $D_L(z)$ are the angular and luminosity distances, plays an essential part in…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-15 Shuo Cao , Zong-Hong Zhu

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 study the validity of cosmic distance duality relation between angular diameter and luminosity distances. To test this duality relation we use the latest Union2 Supernovae Type Ia (SNe Ia) data for estimating the luminosity distance. The…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Remya Nair , Sanjay Jhingan , Deepak Jain

In this paper, we test the cosmic distance duality (CDD) relation using the luminosity distances from joint light-curve analysis (JLA) type Ia supernovae (SNe Ia) sample and angular diameter distance sample from galaxy clusters. The…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-02 J. Hu , F. Y. Wang

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

In this paper, we perform a cosmological model-independent test of the cosmic distance-duality relation (CDDR) in terms of the ratio of angular diameter distance (ADD) $D=D_{\rm A}^{\rm sl}/D_{\rm A}^{\,\rm s}$ from strong gravitational…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Xiangyun Fu , Pengcheng Li

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 carry out a test of the cosmic distance duality relation using a sample of 52 SPT-SZ clusters, along with X-ray measurements from XMM-Newton. To carry out this test, we need an estimate of the luminosity distance ($D_L$) at the redshift…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-30 Kamal Bora , Shantanu Desai

In this paper we discuss a new cosmological model-independent test for the cosmic distance duality relation (CDDR), $\eta = D_{L}(L)(1+z)^{-2}/D_{A}(z)=1$, where $D_{A}(z)$ and $D_{L}(z)$ are the angular and luminosity distances,…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-29 R. S. Goncalves , R. F. L. Holanda , J. S. Alcaniz

We apply Gaussian processes (GP) in order to impose constraints on teleparallel gravity and its $f(T)$ extensions. We use available $H(z)$ observations from (i) cosmic chronometers data (CC); (ii) Supernova Type Ia (SN) data from the…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Rebecca Briffa , Salvatore Capozziello , Jackson Levi Said , Jurgen Mifsud , Emmanuel N. Saridakis

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

In this paper, cosmic distance duality relation is probed without considering any background cosmological model. The only \textit{a priori} assumption is that the Universe is described by the Friedmann-Lema$\hat{i}$tre-Robertson-Walker…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Savita Gahlaut

In this work, we use a combined approach of Hubble parameter data together with redshift-space-distortion $(f\sigma_8)$ data, which together are used to reconstruct the teleparallel gravity (TG) Lagrangian via Gaussian processes (GP). The…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-21 Jackson Levi Said , Jurgen Mifsud , Joseph Sultana , Kristian Zarb Adami

The Etherington distance duality relation, which relates the luminosity distance, the angular diameter distance and the redshift of objects, depends only upon a conservation law for light that traces back directly to the Lorentzian…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-30 Surhud More , Hiroko Niikura , Jonas Schneider , Frederic P. Schuller , Marcus C. Werner