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We compute time delays for gravitational lensing in a flat LambdaCDM Swiss cheese universe. We assume a primary and secondary pair of light rays are deflected by a single point mass condensation described by a Kottler metric (Schwarzschild…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Bin Chen , Ronald Kantowski , Xinyu Dai

Time delay cosmography uses the arrival time delays between images in strong gravitational lenses to measure cosmological parameters, in particular the Hubble constant $H_0$. The lens models used in time delay cosmography omit dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-21 Daniel Gilman , Simon Birrer , Tommaso Treu

One of the main objectives of the Cosmic Lens All-Sky Survey (CLASS) collaboration has been to find gravitational lens (GL) systems at radio wavelengths that are suitable for the determination of time delays between image pairs. The survey…

Astrophysics · Physics 2009-11-06 L. V. E. Koopmans , the CLASS collaboration

Strong lensing time-delay systems constrain cosmological parameters via the so-called time-delay distance and the angular diameter distance to the lens. In previous studies, only the former information was used. In this paper, we show that…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-27 Inh Jee , Eiichiro Komatsu , Sherry H. Suyu , Dragan Huterer

The distribution of differential time delays \Delta t between images produced by strong gravitational lensing contains information on the mass distributions in the lensing objects as well as on cosmological parameters such as H_0. We derive…

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

The gravitational lens CLASS B1608+656 is the only four-image lens system for which all three independent time delays have been measured. This makes the system an excellent candidate for a high-quality determination of H_0 at cosmological…

Astrophysics · Physics 2009-11-07 C. D. Fassnacht , E. Xanthopoulos , L. V. E. Koopmans , D. Rusin

It is well known that measurements of H0 from gravitational lens time delays scale as H0~1-k_E where k_E is the mean convergence at the Einstein radius R_E but that all available lens data other than the delays provide no direct constraints…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-19 C. S. Kochanek

The goal of this work is to obtain a Hubble constant estimate through the study of the quadruply lensed, variable QSO SDSSJ1433+6007. To achieve this we combine multi-filter, archival $\textit{HST}$ data for lens modelling and a dedicated…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-28 G. Queirolo , S. Seitz , A. Riffeser , M. Kluge , R. Bender , C. Gössl , U. Hopp , C. Ries , M. Schmidt , R. Zöller

In recent years, a crisis in the standard cosmology has been caused by inconsistencies in the measurements of some key cosmological parameters, Hubble constant $H_0$ and cosmic curvature parameter $\Omega_K$ for example. It is necessary to…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-17 Meng-Di Cao , Jie Zheng , Jing-Zhao Qi , Xin Zhang , Zong-Hong Zhu

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

Strong lens time delays have been widely used in cosmological studies, especially to infer $H_0$. The upcoming LSST will provide several hundred well measured time delays from the light curves of lensed quasars. However, due to the…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-29 Kai Liao

Accurate and precise measurements of the Hubble constant are critical for testing our current standard cosmological model and revealing possibly new physics. With Hubble Space Telescope (HST) imaging, each strong gravitational lens system…

Strong lensing time delays can measure the Hubble constant H$_0$ independent of any other probe. Assuming commonly used forms for the radial mass density profile of the lenses, a 2\% precision has been achieved with 7 Time-Delay Cosmography…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-12 Simon Birrer , Tommaso Treu

Strong gravitational lens systems with time delays between the multiple images allow measurements of time-delay distances, which are primarily sensitive to the Hubble constant that is key to probing dark energy, neutrino physics, and the…

An attempt to measure the Hubble constant with gravitational lens time delays is often limited by the strong degeneracy between radial mass profiles of lens galaxies and the Hubble constant. We show that strong gravitational lensing of type…

Astrophysics · Physics 2009-11-07 Masamune Oguri , Yozo Kawano

Remarkable development of cosmology is benefited from the increasingly improved measurements of cosmic distances including absolute distances and relative distances. In recent years, however, the emerged cosmological tensions motivate us to…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-21 Jing-Zhao Qi , Wei-Hong Hu , Yu Cui , Jing-Fei Zhang , Xin Zhang

We investigate the potentiality of using strong lensing clusters to constrain the cosmological parameters Omega_m and Omega_lambda. The existence of a multiple image system with known redshift allows, for a given (Omega_m, Omega_lambda)…

Astrophysics · Physics 2009-11-06 G. Golse , J. -P. Kneib , G. Soucail

Strong gravitational lensing of time variable sources such as quasars and supernovae creates observable time delays between the multiple images. Time delays can provide a powerful cosmographic probe through the "time delay distance"…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-18 Alireza Hojjati , Alex G. Kim , Eric V. Linder

Cadenced optical imaging surveys in the next decade will be capable of detecting time-varying galaxy-scale strong gravitational lenses in large numbers, increasing the size of the statistically well-defined samples of multiply-imaged…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Masamune Oguri , Philip J. Marshall

A degeneracy in strong lens model is shown analytically. The observed time delays and quasar image positions might {\it not} uniquely determine the concentration and the extent of the lens galaxy halo mass distribution. Simply hardwiring…

Astrophysics · Physics 2009-11-07 HongSheng Zhao , Bo Qin