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Assessing the probability that two or more gravitational waves (GWs) are lensed images of the same source requires an understanding of the image properties, including their relative phase shifts in strong lensing (SL). For non-precessing,…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Jose María Ezquiaga , Daniel E. Holz , Wayne Hu , Macarena Lagos , Robert M. Wald

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 gravitational lensing of gravitational waves (GWs) has been forecasted to become detectable in the upcoming observing runs. However, definitively distinguishing pairs of lensed sources from random associations is a challenging…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-31 Mesut Çalışkan , Jose María Ezquiaga , Otto A. Hannuksela , Daniel E. Holz

Third-generation gravitational wave detectors, such as the Einstein Telescope and Cosmic Explorer, will detect a bunch of gravitational-wave (GW) signals originating from the coalescence of binary neutron star (BNS) and binary black hole…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Yoshiaki Himemoto , Atsushi Nishizawa , Atsushi Taruya

Gravitational lensing in the wave-optics regime imprints characteristic frequency-dependent amplitude and phase modulations on gravitational-wave (GW) signals, yet to be detected by ground-based interferometers. Similar modulations may also…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Anuj Mishra , Apratim Ganguly

Gravitational wave (GW) observations of binary black hole (BBH) coalescences provide a unique opportunity to test general relativity (GR) in the strong-field regime. To ensure the reliability of these tests, it is essential to identify and…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Purnima Narayan , Nathan K. Johnson-McDaniel , Anuradha Gupta

A small fraction of the gravitational-wave (GW) signals from binary black holes observable by ground-based detectors will be strongly lensed by intervening objects such as galaxies and clusters. Strong lensing will produce nearly identical…

General Relativity and Quantum Cosmology · Physics 2024-12-03 A. Barsode , S. Goyal , P. Ajith

Strong gravitational lensing of gravitational waves (GWs) occurs when the GWs from a compact binary system travel near a massive object. The mismatch between a lensed signal and unlensed templates determines whether lensing can be…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Saif Ali , Evangelos Stoikos , Evan Meade , Michael Kesden , Lindsay King

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 lensing produces multiple images of a gravitational wave (GW) signal, which can be observed by detectors as time-separated copies of the same event. It has been shown that under favourable circumstances, by combining…

General Relativity and Quantum Cosmology · Physics 2023-08-04 Harsh Narola , Justin Janquart , Leïla Haegel , K. Haris , Otto A. Hannuksela , Chris Van Den Broeck

Gravitational waves (GWs) from distant sources such as inspiralling and merging stellar-mass compact binaries, intermediate-mass and supermassive-binary-black-hole can be gravitationally lensed by intervening objects, ranging from stars and…

High Energy Astrophysical Phenomena · Physics 2026-05-19 Zhiwei Chen , Youjun Lu

With the increase in the number of observed gravitational wave (GW) signals, detecting strongly lensed GWs by galaxies has become a real possibility. Lens galaxies also contain microlenses (e.g., stars and black holes), introducing further…

Astrophysics of Galaxies · Physics 2022-10-05 Ashish Kumar Meena , Anuj Mishra , Anupreeta More , Sukanta Bose , Jasjeet Singh Bagla

In the past few years, the detection of gravitational waves from compact binary coalescences with the Advanced LIGO and Advanced Virgo detectors has become routine. Future observatories will detect even larger numbers of gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Anuradha Samajdar , Justin Janquart , Chris Van Den Broeck , Tim Dietrich

We discuss the gravitational lensing of gravitational wave signals from coalescing binaries. We delineate the regime where wave effects are significant from the regime where geometric limit can be used. Further, we focus on the effect of…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-18 Ashish Kumar Meena , J S Bagla

Strong lensing of {gravitational-wave signals} can produce three types of images, denoted as Type-I, Type-II and Type-III, corresponding to the minima, saddle and maxima of the lensing potential of the lensed images. Type-II images, in…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Aditya Vijaykumar , Ajit Kumar Mehta , Apratim Ganguly

Strong lensing by intervening galaxies can produce multiple images of gravitational waves from sources at cosmological distances. These images acquire additional phase-shifts as the over-focused wavefront passes through itself along the…

General Relativity and Quantum Cosmology · Physics 2017-02-17 Liang Dai , Tejaswi Venumadhav

Like light, gravitational waves can be gravitationally lensed by massive astrophysical objects. Strong gravitational lensing by galaxies and galaxy clusters is anticipated to become observable in the coming years. This phenomenon will…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Leo C. Y. Ng , Justin Janquart , Hemantakumar Phurailatpam , Harsh Narola , Jason S. C. Poon , Chris Van Den Broeck , Otto A. Hannuksela

For gravitationally lensed type II signals, the phase of the dominant (2, 2) mode and the higher order (3, 3) mode is offset by $-\pi/12$, or roughly -0.26 radians. Using this, we develop a test for type II imagery by allowing the phases of…

General Relativity and Quantum Cosmology · Physics 2025-07-25 Kelsie Taylor , Derek Davis , Rico K. L. Lo

When a moving gravitational-wave (GW) source travels behind a massive astrophysical object, its signal is gravitationally lensed, showing a waveform distortion similar to a Paczy\'{n}ski curve. We present a first study of the lensing…

High Energy Astrophysical Phenomena · Physics 2025-12-12 Helena Ubach

Gravitational waves (GW) from chirping binary black holes (BBHs) provide unique opportunities to test general relativity (GR) in the strong-field regime. However, testing GR can be challenging when incomplete physical modeling of the…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Anuj Mishra , N. V. Krishnendu , Apratim Ganguly
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