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We investigate the possibility of measuring the Hubble constant, the fractional energy density components and the equation of state parameter of the ``dark energy'' using lensed multiple images of high-redshift supernovae. With future…

Astrophysics · Physics 2009-11-07 A. Goobar , E. Mortsell , R. Amanullah , P. Nugent

Lack of knowledge about the background expansion history of the Universe from independent observations makes it problematic to obtain a precise and accurate estimation of the Hubble constant $H_0$ from gravitational wave standard sirens,…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-18 Arman Shafieloo , Ryan E. Keeley , Eric V. Linder

Time delays from strong gravitational lensing provide a one-step absolute distance measurement. Thus, they measure $H_0$ independently of all other probes. We first review the foundations and history of time-delay cosmography. Then, we…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-08 Tommaso Treu , Anowar J. Shajib

In the coming years, strong gravitational lens discoveries are expected to increase in frequency by two orders of magnitude. Lens-modelling techniques are being developed to prepare for the coming massive influx of new lens data, and blind…

Astrophysics of Galaxies · Physics 2020-06-18 Philipp Denzel , Sampath Mukherjee , Jonathan P. Coles , Prasenjit Saha

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

Time-delay cosmography can be used to infer the Hubble parameter $H_0$ by measuring the relative time delays between multiple images of gravitationally-lensed quasars. A few of such systems have already been used to measure $H_0$: their…

Instrumentation and Methods for Astrophysics · Physics 2022-08-03 L. Biggio , A. Domi , S. Tosi , G. Vernardos , D. Ricci , L. Paganin , G. Bracco

We present accurate time delays for the quadruply imaged quasar HE 0435-1223. The delays were measured from 575 independent photometric points obtained in the R-band between January 2004 and March 2010. With seven years of data, we clearly…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 F. Courbin , V. Chantry , Y. Revaz , D. Sluse , C. Faure , M. Tewes , E. Eulaers , M. Koleva , I. Asfandiyarov , S. Dye , P. Magain , H. van Winckel , J. Coles , P. Saha , M. Ibrahimov , G. Meylan

The geometry of the quadruple lens system Q2237+0305 is modeled with a simple astigmatic lens: a power-law mass distribution: m \propto r^\beta with an external shear \gamma. The image positions can be reproduced with an accuracy better…

Astrophysics · Physics 2009-10-22 Joachim Wambsganss , Bohdan Paczynski

We model the extremely massive and luminous lens galaxy in the Cosmic Horseshoe Einstein ring system, recently discovered in the Sloan Digital Sky Survey. We use the semi-linear method of Warren & Dye (2003), which pixelises the source…

Astrophysics · Physics 2009-11-13 Simon Dye , N. W. Evans , V. Belokurov , S. J. Warren , P. Hewett

The time delay between the arrival of photons of multiple images of time variable sources can be used to constrain absolute distances in the Universe (Refsdal 1964), and in turn obtain a direct estimate of the Hubble constant and other…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-21 Simon Birrer , Tommaso Treu

We present Very Large Array (VLA) 8.5-GHz light curves of the two lens images of the Cosmic Lens All Sky Survey (CLASS) gravitational lens B1600+434. We find a nearly linear decrease of 18-19% in the flux densities of both lens images over…

Astrophysics · Physics 2007-05-23 L. V. E. Koopmans , A. G. de Bruyn , E. Xanthopoulos , C. D. Fassnacht

Double-plane gravitational lensing is a rare but increasingly observed phenomenon in which the light from a distant source is lensed by two foreground objects at different redshifts. Such systems can be used to provide simultaneous…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-04 Daniel Johnson , Pierre Fleury , Martin Millon

We derive dynamical and gravitational lensing properties of local sources in the Hassan-Rosen bimetric gravity theory. Observations of elliptical galaxies rule out values of the effective length-scale of the theory, in units of the Hubble…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-14 Jonas Enander , Edvard Mortsell

We present a novel approach to estimate the time delay between light curves of multiple images in a gravitationally lensed system, based on Kernel methods in the context of machine learning. We perform various experiments with artificially…

Astrophysics · Physics 2009-11-11 Juan C. Cuevas-Tello , Peter Tino , Somak Raychaudhury

The effect of gravitational wave of extremely low frequency on time delays between different locations on the Einstein ring in a lens system with an aligned source-deflector-observer configuration is investigated. The observer will observe…

General Relativity and Quantum Cosmology · Physics 2021-11-05 Wenshuai Liu

With the distance sum rule in the Friedmann-Lema\^{\i}tre-Robertson-Walker metric, model-independent constraints on both the Hubble constant $H_0$ and spatial curvature $\Omega_{K}$ can be obtained using strong lensing time-delay data and…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-22 Jun-Jie Wei , Fulvio Melia

Strong gravitational lensing is a competitive tool to probe the dark matter and energy content of the Universe. However, significant uncertainties can arise from the choice of lens model, and in particular the parameterisation of the line…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-29 Daniel Johnson , Pierre Fleury , Julien Larena , Lucia Marchetti

We present an analytical formulation of gravitational lensing using familiar triaxial power-law mass distributions, where the 3-dimensional mass density is given by $\rho(X,Y,Z) = \rho_0 [1 + (\frac{X}{a})^2 + (\frac{Y}{b})^2 +…

Astrophysics · Physics 2009-10-30 Kyu-Hyun Chae , Valery K. Khersonsky , David A. Turnshek

Time-delay strong lensing provides a unique way to directly measure the Hubble constant ($H_{0}$). The precision of the $H_{0}$ measurement depends on the uncertainties in the time-delay measurements, the mass distribution of the main…

Gravitational microlensing constraints on non-standard compact objects are conventionally derived assuming lenses trace the dark matter halo with velocities following a Maxwell-Boltzmann distribution centered around $10^{-3}c$. However, a…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-06 Manish Tamta , Nirmal Raj , Himanshu Verma