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When gravitational waves (GWs) propagate near massive objects, they undergo gravitational lensing that imprints lens model dependent modulations on the waveform. This effect provides a powerful tool for cosmological and astrophysical…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Zheng Qin , Tian-Yang Sun , Bo-Yuan Li , Jing-Fei Zhang , Xiao Guo , Xin Zhang

With the advancement of third-generation gravitational wave detectors, the identification of strongly lensed gravitational wave (GW) events is expected to play an increasingly vital role in cosmology and fundamental physics. However,…

Instrumentation and Methods for Astrophysics · Physics 2026-03-06 Dejiang Li , Tonghua Liu , Ao Liu , Cuihong Wen , Jieci Wang , Kai Liao , Jiaxing Cui

Wave-mechanical effects in gravitational lensing have long been predicted, and with the discovery of populations of compact transients such as gravitational wave events and fast radio bursts, may soon be observed. We present an observer's…

High Energy Astrophysical Phenomena · Physics 2023-04-04 Calvin Leung , Dylan Jow , Prasenjit Saha , Liang Dai , Masamune Oguri , Léon V. E. Koopmans

In light of the newly opened and rapidly growing gravitational waves window in multi-messenger astronomy, in order to fully take advantage of the new opportunities we are provided with, new ideas are required for a better and deeper employ…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-06 Paolo Cremonese , Vincenzo Salzano

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…

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

Gravitational lensing by compact, small-scale intervening masses causes frequency-dependent distortions to gravitational-wave events. The optimal signal-to-noise ratio (SNR) is often used as a proxy for the detectability of exotic signals…

General Relativity and Quantum Cosmology · Physics 2025-04-14 Juno C. L. Chan , Eungwang Seo , Alvin K. Y. Li , Heather Fong , Jose M. Ezquiaga

Gravitational lensing of gravitational waves (GWs) is a powerful probe of the matter distribution in the universe. Here we revisit the wave-optics effects induced by dark matter (DM) halos on the GW signals of merging massive black hole…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-23 Zucheng Gao , Xian Chen , Yi-Ming Hu , Jian-Dong Zhang , Shunjia Huang

Observations of microlensed gravitational waves (GWs) emanated by compact binary coalescences (CBCs) are essential for studying the mass density distribution in the universe, including black holes and dark matter halos. However, no…

General Relativity and Quantum Cosmology · Physics 2025-12-22 So Tanaka , Gopalkrishna Prabhu , Shasvath J. Kapadia , Teruaki Suyama

For the first detection of a novel astrophysical phenomenon, scientific standards are particularly high. Especially in a multi-messenger context, there are also opportunity costs to follow-up observations on any detection claims. So in…

General Relativity and Quantum Cosmology · Physics 2025-05-06 David Keitel

Gravitational waves emitted from compact binary coalescence can be subject to wave diffraction if they are gravitationally lensed by an intervening mass clump whose Schwarzschild timescale matches the wave period. Waves in the ground-based…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Liang Dai , Shun-Sheng Li , Barak Zackay , Shude Mao , Youjun Lu

Strong gravitational lensing of gravitational wave sources offers a novel probe of both the lens galaxy and the binary source population. In particular, the strong lensing event rate and the time delay distribution of multiply-imaged…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-20 Fei Xu , Jose Maria Ezquiaga , Daniel E. Holz

The study of light lensed by cosmic matter has yielded much information about astrophysical questions. Observations are explained using geometrical optics following a ray-based description of light. After deflection the lensed light…

Instrumentation and Methods for Astrophysics · Physics 2023-06-22 Valeria Rodriguez-Fajardo , Thao P. Nguyen , Kiyan S. Hocek , Jacob M. Freedman , Enrique J. Galvez

We present a novel test of general relativity (GR): measuring the geometric component of the time delay due to gravitational lensing. GR predicts that photons and gravitational waves follow the same geodesic paths and thus experience the…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-19 David Rubin , Istvan Szapudi , Benjamin J. Shappee , Gagandeep S. Anand

Secure confirmation that a gravitational wave (GW) has been gravitationally lensed would bring together these two pillars of General Relativity for the first time. This breakthrough is challenging for many reasons, including: GW sky…

The gravitational lensing by long, wiggly cosmic strings is shown to produce a large number of lensed images of a background source. In addition to pairs of images on either side of the string, a number of small images outline the string…

Astrophysics · Physics 2009-10-30 Andrew A. de Laix , Lawrence M. Krauss , Tanmay Vachaspati

Gravitational waves (GWs) are subject to gravitational lensing in the same way as electromagnetic radiation. However, to date, no unequivocal observation of a lensed GW transient has been reported. Independently, GW observatories continue…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-24 Riccardo Buscicchio , Christopher J. Moore , Geraint Pratten , Patricia Schmidt , Matteo Bianconi , Alberto Vecchio

We present the result of the first deep learning-based search for the signature of microlensing in gravitational waves. This search seeks the signature induced by lenses with masses between $10^3M_\odot$--$10^5M_\odot$ from spectrograms of…

General Relativity and Quantum Cosmology · Physics 2022-10-25 Kyungmin Kim , Joongoo Lee , Otto A. Hannuksela , Tjonnie G. F. Li

The LIGO observatories detect gravitational waves through monitoring changes in the detectors' length down to below $10^{-19}$\,$m/\sqrt{Hz}$ variation---a small fraction of the size of the atoms that make up the detector. To achieve this…

Instrumentation and Methods for Astrophysics · Physics 2020-05-27 Robert E. Colgan , K. Rainer Corley , Yenson Lau , Imre Bartos , John N. Wright , Zsuzsa Marka , Szabolcs Marka

The models currently used in the detection of gravitational waves (GWs) either do not consider a relative motion between the center-of-mass of the source and the observer, or usually only consider its effect on the frequencies of GWs.…

High Energy Astrophysical Phenomena · Physics 2020-04-28 Alejandro Torres-Orjuela , Xian Chen , Zhoujian Cao , Pau Amaro-Seoane , Peng Peng