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Of order one in 10^3 quasars and high-redshift galaxies appears in the sky as multiple images as a result of gravitational lensing by unrelated galaxies and clusters that happen to be in the foreground. While the basic phenomenon is a…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-10 Prasenjit Saha , Dominique Sluse , Jenny Wagner , Liliya L. R. Williams

Advanced LIGO and Advanced Virgo could observe the first lensed gravitational wave sources in the coming years, while the future Einstein Telescope could observe hundreds of lensed events. It is, therefore, crucial to develop methodologies…

High Energy Astrophysical Phenomena · Physics 2020-06-03 Peter T. H. Pang , Otto A. Hannuksela , Tim Dietrich , Giulia Pagano , Ian W. Harry

This article deals with the gravitational lensing (GL) of gravitational waves (GW). We compute the increase in the number of detected GW events due to GL. First, we check that geometrical optics is valid for the GW frequency range on which…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Arnaud-Varvella , M. -C. Angonin , Ph. Tourrenc

We discuss strong gravitational lensing by multiple objects along any line of sight. The probability for strong gravitational lensing by more than one lens is small, but a number of strong lens systems in which more than one separate lens…

Astrophysics · Physics 2009-11-06 Ole Moeller , A. W. Blain

Just like light, gravitational waves (GWs) are deflected and magnified by gravitational fields as they propagate through the Universe. However, their low frequency, phase coherence and feeble coupling to matter allow for distinct lensing…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-29 Giovanni Tambalo , Miguel Zumalacárregui , Liang Dai , Mark Ho-Yeuk Cheung

Accurate sky localization is essential for gravitational-wave (GW) astronomy, particularly for multimessenger follow-up and host galaxy identification. For strongly lensed GW events, achieving localization at the level of $\sim…

Instrumentation and Methods for Astrophysics · Physics 2026-04-21 Alvin K. Y. Li , Otto A. Hannuksela

Gravitational lensing of gravitational wave (GW) will become the next frontier in studying cosmology and gravity. While time-delay cosmography using quadruply lensed GW events associated with optical images of the lens systems can provide…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-29 Anson Chen , Jun Zhang

Strongly lensed gravitational waves (GWs) from binary coalescence manifest as repeated chirps from the original merger. At the detectors, the phase of the lensed GWs and its arrival time differences will be consistent modulo a fixed…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-17 Jose María Ezquiaga , Wayne Hu , Rico K. L. Lo

Strong lensing gravitational time delays are a powerful and cost effective probe of dark energy. Recent studies have shown that a single lens can provide a distance measurement with 6-7 % accuracy (including random and systematic…

Microlenses with typical stellar masses (a few ${\rm M}_{\odot}$) have traditionally been disregarded as potential sources of gravitational lensing effects at LIGO/Virgo frequencies, since the time delays are often much smaller than the…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-24 J. M. Diego , O. A. Hannuksela , P. L. Kelly , T. Broadhurst , K. Kim , T. G. F. Li , G. F. Smoot

Gravitational lensing describes the bending of the trajectories of light and gravitational waves due to the gravitational potential of a massive object. Strong lensing by galaxies can create multiple images with different overall…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Simon M. C. Yeung , Mark H. Y. Cheung , Joseph A. J. Gais , Otto A. Hannuksela , Tjonnie G. F. Li

Strong gravitational lenses provide unique laboratories for cosmological and astrophysical investigations, but they must first be discovered - a task that can be met with significant contamination by other astrophysical objects and…

The luminosity distance is a key observable of gravitational-wave (GW) observations. We demonstrate how one can correctly retrieve the luminosity distance of compact binary coalescences (CBCs) if the GW signal is strongly lensed. We perform…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Kyungmin Kim , Eungwang Seo , Chunglee Kim

The past decades have witnessed a lot of progress in gravitational lensing with two main targets: stars and galaxies (with active galactic nuclei). The success is partially attributed to the continuous luminescence of these sources making…

High Energy Astrophysical Phenomena · Physics 2022-11-08 Kai Liao , Marek Biesiada , Zong-Hong Zhu

Gravitational waves from inspiraling compact binaries provide direct measurements of luminosity distances and serve as a powerful probe of the high-redshift Universe. In addition to their role as standard sirens, they offer an opportunity…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-12 Fumihiro Chuman , Masamune Oguri

Lensing of gravitational waves (GWs) due to intervening massive astrophysical systems between the source and the observer is an inevitable consequence of the general theory of relativity, which can produce multiple GW events with…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Aniruddha Chakraborty , Suvodip Mukherjee

When a gravitational wave signal encounters a massive object, such as a galaxy or galaxy cluster, it undergoes strong gravitational lensing, producing multiple copies of the original signal. These strongly lensed signals exhibit identical…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Eungwang Seo , Xikai Shan , Justin Janquart , Otto A. Hannuksela , Martin A. Hendry , Bin Hu

Gravitationally-lensed quasars should be discovered as a by-product of large galaxy redshift surveys, being discovered spectroscopically when a low-redshift galaxy exhibits high-redshift quasar emission lines. The number of lenses expected…

Astrophysics · Physics 2007-05-23 Daniel J. Mortlock , Rachel L. Webster

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

Lensed gravitational wave (GW) events are expected to be powerful new probes of cosmology, contingent on redshift measurement by electromagnetic observations. Host galaxy identification is thus crucial but challenging due to poor…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-15 Zhiwei Chen , Qingjuan Yu , Youjun Lu , Xiao Guo
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