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We show that a cosmic standard ruler can be constructed from the joint measurement of the time delay (dt) between gravitationally lensed quasar images and the velocity dispersion (sigma^2) of the lensing galaxy. This is specifically shown,…

Cosmology and Nongalactic Astrophysics · Physics 2009-12-06 Danuta Paraficz , Jens Hjorth

Strongly lensed type Ia supernovae (SNe Ia) are expected to have some advantages in measuring time delays of multiple images, and so they have a great potential to be developed into a powerful late-universe cosmological probe. In this…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-26 Jing-Zhao Qi , Yu Cui , Wei-Hong Hu , Jing-Fei Zhang , Jing-Lei Cui , Xin Zhang

Strong gravitational lensing provides a natural opportunity to test General Relativity (GR). We propose a model-independent method for simultaneous constraining on Hubble constant ($H_0$) and post-Newtonian parameter (${\gamma_{\rm{PPN}}}$)…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-30 Tonghua Liu , Kai Liao

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…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-20 Jéferson A. S. Fortunato , Surajit Kalita , Amanda Weltman

Combining the `time-delay distance' ($D_{\Delta t}$) measurements from galaxy lenses and other distance indicators provides model-independent determinations of the Hubble constant ($H_0$) and spatial curvature ($\Omega_{K,0}$), only based…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-31 Shen-Shi Du , Jun-Jie Wei , Zhi-Qiang You , Zu-Cheng Chen , Zong-Hong Zhu , En-Wei Liang

This study aims to test the validity of general relativity (GR) on kiloparsec scales by employing a newly compiled galaxy-scale strong gravitational lensing (SGL) sample. We utilize the distance sum rule within the…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-10 Jing-Yu Ran , Jun-Jie Wei

Strong gravitational lensing and microlensing of supernovae (SNe) are emerging as a new probe of cosmology and astrophysics in recent years. We provide an overview of this nascent research field, starting with a summary of the first…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-12 Sherry H. Suyu , Ariel Goobar , Thomas Collett , Anupreeta More , Giorgos Vernardos

One of the fundamental hypotheses in observational cosmology is the validity of the so-called cosmic distance-duality relation (CDDR). In this paper, we perform Monte Carlo simulations based on the method developed in Holanda, Goncalves &…

Cosmology and Nongalactic Astrophysics · Physics 2015-01-30 R. S. Goncalves , J. S. Alcaniz , J. C. Carvalho , R. F. L. Holanda

We present a novel approach to measuring the expansion rate and the geometry of the Universe, which combine time-delay cosmography in lens galaxy clusters with pure samples of 'cosmic chronometers' (CCs) by probing the member galaxies. The…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-11 P. Bergamini , S. Schuldt , A. Acebron , C. Grillo , U. Mestric , G. Granata , G. B. Caminha , M. Meneghetti , A. Mercurio , P. Rosati , S. H. Suyu , E. Vanzella

While time-delay lenses can be an independent probe of $H_0$ the estimates are degenerate with the convergence of the lens near the Einstein radius. Velocity dispersions, $\sigma$, can be used to break the degeneracy, with uncertainties…

Astrophysics of Galaxies · Physics 2026-02-05 R. Forés-Toribio , C. S. Kochanek , J. A. Muñoz

Strong gravitational lensing of distant supernovae (SNe), particularly Type Ia's, has some exploitable properties not available when other sorts of cosmologically distant sources are lensed. One such property is that the ``standard candle''…

Astrophysics · Physics 2009-11-07 Masamune Oguri , Yasushi Suto , Edwin L. Turner

The cosmic distance duality relates the angular-diameter and luminosity distances and its possible violation may puzzle the standard cosmological model. This appears particularly interesting in view of the recent results found by the DESI…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-28 Anna Chiara Alfano , Orlando Luongo

The angular diameter distance of lens, $D_{Aol}$, of strong gravitational lensing systems has been claimed as a cosmic standard ruler. The first measurements for this distance were recently obtained to two well-known systems: B1608+656 and…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 R. F. L. Holanda

We propose a new model-independent strategy to calibrate the distance relation in Type Ia supernova (SN) observations and to probe the intrinsic properties of SNe Ia, especially the absolute magnitude $M_B$, basing on strong lensing…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-11 Xudong Wen , Kai Liao

Recently, there have been two landmark discoveries of gravitationally lensed supernovae: the first multiply-imaged SN, "Refsdal", and the first Type Ia SN resolved into multiple images, SN iPTF16geu. Fitting the multiple light curves of…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-27 Justin R. Pierel , Steven A. Rodney

In this paper, we test the cosmic distance duality relation (CDDR), as required by the Etherington reciprocity theorem, which connects the angular diameter distance and the luminosity distance via the relation \( D_{\rm L}(z) = D_{\rm…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-17 Qiumin Wang , Shuo Cao , Jianyong Jiang , Kaituo Zhang , Xinyue Jiang , Tonghua Liu , Chengsheng Mu , Dadian Cheng

The Hubble constant value is currently known to 10% accuracy unless assumptions are made for the cosmology (Sandage et al. 2006). Gravitational lens systems provide another probe of the Hubble constant using time delay measurements.…

Instrumentation and Methods for Astrophysics · Physics 2010-12-01 G. Gürkan , N. Jackson , I. W. A. Browne , L. V. E. Koopmans , C. D. Fassnacht , A. Berciano Alba

The stellar orbital anisotropy parameter ($\beta_{\rm ani}$) is a persistent systematic uncertainty in galaxy-scale strong gravitational lensing (SGL) cosmology. Typically fixed to isotropy or a local prior, it frequently degenerates with…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-20 Jian Hu , Yi Liu , Jian-Ping Hu , Zhongmu Li

We use strongly gravitationally lensed (SGL) systems to put additional constraints on a set of holographic dark energy models. Data available in the literature (redshift and velocity dispersion) is used to obtain the Einstein radius and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Victor H. Cardenas , Alexander Bonilla , Veronica Motta , Sergio del Campo

We use the distance sum rule (DSR) method to constrain the spatial curvature of the Universe with a large sample of 161 strong gravitational lensing (SGL) systems, whose distances are calibrated from the Pantheon compilation of type Ia…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-21 Liang Liu , Li-Juan Hu , Li Tang , Ying Wu
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