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Gravitational lensing time delays are well known to depend on cosmological parameters, but they also depend on the details of the mass distribution of the lens. It is usual to model the mass distribution and use time-delay observations to…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Irshad Mohammed , Prasenjit Saha , Jori Liesenborgs

Time-delay cosmography, by monitoring the multiply imaged gravitational lenses in the time domain, offers a promising and independent method for measuring cosmological distances. However, in addition to the main deflector that produces the…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-01 Shijie Lin , Bin Hu , Chengliang Wei , Guoliang Li , Yiping Shu , Xinzhong Er , Zuhui Fan

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

LISA might detect gravitational waves from mergers of massive black hole binaries strongly lensed by intervening galaxies (Sereno et al. 2010). The detection of multiple gravitational lensing events would provide a new tool for cosmography.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 M. Sereno , Ph. Jetzer , A. Sesana , M. Volonteri

The distance-redshift relation plays a fundamental role in constraining cosmological models. In this paper, we show that measurements of positions and time delays of strongly lensed images of a background galaxy, as well as those of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-21 Inh Jee , Eiichiro Komatsu , Sherry H. Suyu

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 a joint strong lensing and stellar dynamical framework for future time-delay cosmography purposes. Based on a pixelated source reconstruction and the axisymmetric Jeans equations, we are capable of constraining cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-04 Akın Yıldırım , Sherry H. Suyu , Aleksi Halkola

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

As one of the probes of universe, strong gravitational lensing systems allow us to compare different cosmological models and constrain vital cosmological parameters. This purpose can be reached from the dynamic and geometry properties of…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-06 C. C. Yuan , F. Y. Wang

Strong gravitational lenses with measured time delays between the multiple images and models of the lens mass distribution allow a one-step determination of the time-delay distance, and thus a measure of cosmological parameters. We present…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 S. H. Suyu , M. W. Auger , S. Hilbert , P. J. Marshall , M. Tewes , T. Treu , C. D. Fassnacht , L. V. E. Koopmans , D. Sluse , R. D. Blandford , F. Courbin , G. Meylan

High-precision cosmological probes have revealed a small but significant tension between the parameters measured with different techniques, among which there is one based on time delays in gravitational lenses. We discuss a new way of using…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-18 O. Wucknitz , L. G. Spitler , U. -L. Pen

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

The time delay between images of strongly gravitationally lensed quasars is an established cosmological probe. Its limitations, however, include uncertainties in the assumed mass distribution of the lens. We re-examine the methodology of a…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-17 Angela L. H. Ng

Multiply imaged time-variable sources can be used to measure absolute distances as a function of redshifts and thus determine cosmological parameters, chiefly the Hubble Constant H$_0$. In the two decades up to 2020, through a number of…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-07 T. Treu , S. H. Suyu , P. J. Marshall

The observable time delays between the multiple images of strong lensing systems with time variable sources can provide us with some valuable information to probe the expansion history of the Universe. Estimation of these time delays can be…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Amir Aghamousa , Arman Shafieloo

The construction of the cosmic distance-duality relation (CDDR) has been widely studied. However, its consistency with various new observables remains a topic of interest. We present a new way to constrain the CDDR $\eta(z)$ using different…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Akshay Rana , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee , R. F. L. Holanda

We present a novel, purely geometric probe of cosmology based on measurements of differential time delays between images of strongly lensed quasars due to finite source effects. Our approach is solely dependent on cosmology via a ratio of…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-16 Angela L. H. Ng , Geraint F. Lewis

The use of time-delay gravitational lenses to examine the cosmological expansion introduces a new standard ruler with which to test theoretical models. The sample suitable for this kind of work now includes 12 lens systems, which have thus…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Jun-Jie Wei , Xue-Feng Wu , Fulvio Melia

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

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