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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

Gravitational lensing is now widely and successfully used to study a range of astronomical phenomena, from individual objects, like galaxies and clusters, to the mass distribution on various scales, to the overall geometry of the Universe.…

Astrophysics · Physics 2007-05-23 Liliya L. R. Williams , Paul L. Schechter

The light travel time differences in strong gravitational lensing systems allows an independent determination of the Hubble constant. This method has been successfully applied to several lens systems. The formally most precise measurements…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Peter Schneider , Dominique Sluse

The gravitational field of a galaxy can act as a lens and deflect the light emitted by a more distant object such as a quasar. Strong gravitational lensing causes multiple images of the same quasar to appear in the sky. Since the light in…

Instrumentation and Methods for Astrophysics · Physics 2017-10-06 Hyungsuk Tak , Kaisey Mandel , David A. van Dyk , Vinay L. Kashyap , Xiao-Li Meng , Aneta Siemiginowska

In principle, the most straightforward method of estimating the Hubble constant relies on time delays between mirage images of strongly-lensed sources. It is a puzzle, then, that the values of H0 obtained with this method span a range from…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Anna Barnacka , Margaret Geller , Ian P. Dell'Antonio , Wystan Benbow

The gravitational lens system PS J0147+4630 (Andromeda's Parachute) consists of four quasar images ABCD and a lensing galaxy. We obtained $r$-band light curves of ABCD in the 2017$-$2022 period from monitoring with two 2-m class telescopes.…

Astrophysics of Galaxies · Physics 2023-09-11 Vyacheslav N. Shalyapin , Luis J. Goicoechea , Karianne Dyrland , Håkon Dahle

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

We use numerical simulations to test a broad range of plausible observational strategies designed to measure the time delay between the images of gravitationally lensed quasars. Artificial quasar light curves are created along with…

Astrophysics · Physics 2009-11-10 A. Eigenbrod , F. Courbin , C. Vuissoz , G. Meylan , P. Saha , S. Dye

Tension between cosmic microwave background-based and distance ladder-based determinations of the Hubble constant ${\rm H}_{\rm 0}$ motivates pursuit of independent methods that are not subject to the same systematic effects. A promising…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-23 Kate Napier , Keren Sharon , Håkon Dahle , Matthew Bayliss , Michael D. Gladders , Guillaume Mahler , Jane R. Rigby , Michael Florian

A small fraction of gravitational-wave (GW) signals from binary black holes (BBHs) will be gravitationally lensed by intervening galaxies and galaxy clusters. Strong lensing will produce multiple identical copies of the GW signal arriving…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Koustav N. Maity , Souvik Jana , Tejaswi Venumadhav , Ankur Barsode , Parameswaran Ajith

Constraining the mass-sheet degeneracy (MSD) is crucial for improving the precision and accuracy of time-delay cosmography. Joint analyses of lensing and stellar kinematics are widely adopted to break the MSD. A 3D mass and stellar tracer…

Astrophysics of Galaxies · Physics 2025-11-19 Xiang-Yu Huang , Simon Birrer , Michele Cappellari , Tommaso Treu , Shawn Knabel , Dominique Sluse

Gravitational lensing time delays depend upon the Hubble constant and the density distribution of the lensing galaxies. This allows one to either model the lens and estimate the Hubble constant, or to use a prior on the Hubble constant from…

Astrophysics · Physics 2009-11-11 Benjamin M. Dobke , Lindsay J. King

With future wide and deep cosmological sky surveys, a large number of gravitationally lensed, multiply imaged systems will be found. In addition to multiply imaged galaxies and quasars, sources will include transient events like supernovae…

Astrophysics · Physics 2009-11-13 Edvard Mortsell , Christoffer Sunesson

We present a geometric embedding method that exploits the exact kinematic relation $\dot{z} = H_0(1 + z) - H(z)$ to transform redshift misalignment between Cosmic Chronometer (CC) and Sandage-Loeb (SL) datasets into fundamental constraints…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-03 Kang Jiao , Tong-Jie Zhang , Liang Gao , Yun Chen

Dynamical modelling of Integral-Field-Unit (IFU) stellar kinematics is a powerful tool to unveil the dynamical structure and mass build-up of galaxies in the local Universe, while gravitational lensing is nature's cosmic telescope to…

Astrophysics of Galaxies · Physics 2020-11-18 G. Chirivì , A. Yıldırım , S. H. Suyu , A. Halkola

Gravitational lensing and stellar dynamics provide two complementary, nearly orthogonal, constraints on the mass distribution of early-type lens galaxies. This allows the luminous and dark-matter distribution in higher-redshift (z>0.1)…

Astrophysics · Physics 2007-05-23 L. V. E. Koopmans

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

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…

Measuring time delays between the multiple images of gravitationally lensed quasars is now recognized as a competitive way to constrain the cosmological parameters, and it is complementary with other cosmological probes. This requires long…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-21 M. Tewes , F. Courbin , G. Meylan

Time-delay cosmology offers an alternative approach to measuring the Hubble constant ($H_0$), which is distinct from the cosmic distance ladder and cosmic microwave background radiation methods. In this study, we present an improved strong…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-01 Yuting Liu , Masamune Oguri
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