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The gravitational waves emitted by massive black hole binaries in the LISA band can be lensed. Wave-optics effects in the lensed signal are crucial when the Schwarzschild radius of the lens is smaller than the wavelength of the radiation.…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-31 Mesut Çalışkan , Lingyuan Ji , Roberto Cotesta , Emanuele Berti , Marc Kamionkowski , Sylvain Marsat

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

We investigate the detectability of gravitational waves that have been lensed by a spinless stellar-mass black hole, with respect to the advanced LIGO. By solving the full relativistic linear wave equations in the spacetime of a…

High Energy Astrophysical Phenomena · Physics 2024-01-23 Chengjiang Yin , Jian-hua He

If a gravitational wave event is lensed by a cluster or galaxy in our line-of-sight, it is expected that its host galaxy would also be lensed. Therefore, connecting lensed gravitational wave events even without direct optical counterpart…

High Energy Astrophysical Phenomena · Physics 2026-03-11 Laura Uronen , Tian Li , Justin Janquart , Hemanta Phurailatpam , Jason Poon , Thomas Collett , Leon Koopmans , Otto Hannuksela

The detection of galactic binaries as sources of gravitational waves promises an unprecedented wealth of information about these systems, but also raises several challenges in signal processing. In particular the large number of expected…

General Relativity and Quantum Cosmology · Physics 2020-11-25 A. Blelly , J. Bobin , H. Moutarde

Every signal propagating through the universe is at least weakly lensed by the intervening gravitational field. In some situations, wave-optics phenomena (diffraction, interference) can be observed as frequency-dependent modulations of the…

General Relativity and Quantum Cosmology · Physics 2023-11-30 Stefano Savastano , Giovanni Tambalo , Hector Villarrubia-Rojo , Miguel Zumalacarregui

In this paper, we review the theoretical basis for generation of gravitational waves and the detection techniques used to detect a gravitational wave. To materialize this goal in a thorough way we first start with a mathematical background…

General Relativity and Quantum Cosmology · Physics 2024-01-01 Saibal Ray , R. Bhattacharya , Sanjay K. Sahay , Abdul Aziz , Amit Das

Bayesian model selection provides a powerful and mathematically transparent framework to tackle hypothesis testing, such as detection tests of gravitational waves emitted during the coalescence of binary systems using ground-based laser…

General Relativity and Quantum Cosmology · Physics 2009-11-13 John Veitch , Alberto Vecchio

We propose a new model-independent measurement strategy for the propagation speed of gravitational waves (GWs) based on strongly lensed GWs and their electromagnetic (EM) counterparts. This can be done in two ways: by comparing arrival…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Xi-Long Fan , Kai Liao , Marek Biesiada , Aleksandra Piorkowska-Kurpas , Zong-Hong Zhu

Lensed gravitational waves (GWs) provide a new window into the study of dark matter substructures, yet the faint interference signatures they produce are buried in detector noise. To address this challenge, we develop a deep learning…

Instrumentation and Methods for Astrophysics · Physics 2025-11-25 Mengfei Sun , Jie Wu , Jin Li , Nan Yang , Xianghe Ma , Borui Wang , Minghui Zhang , Yuanhong Zhong

Gravitational lensing is a powerful probe of cosmology and astrophysics. With the prospect of the first strongly lensed gravitational waves on the horizon, we highlight an opportunity to test fundamental physics. In this work, we assume a…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Elena Colangeli , Charles Dalang , Tessa Baker

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) emanated by stellar mass compact binary coalescences (CBCs), and lensed by galaxy- or cluster-scale lenses, will produce two or more copies of the GW signal. These will have identical phase evolution but differing…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Sudhir Gholap , Kanchan Soni , Shasvath J. Kapadia , Sanjeev Dhurandhar

Advanced LIGO and Advanced Virgo could observe the first lensed gravitational waves in the coming years, while the future Einstein Telescope could observe hundreds of lensed events. Ground-based gravitational-wave detectors can resolve…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-25 Giulia Pagano , Otto A. Hannuksela , Tjonnie G. F. Li

Separating a stochastic gravitational wave background (SGWB) from noise is a challenging statistical task. One approach to establishing a detection criterion for the SGWB is using Bayesian evidence. If the evidence ratio (Bayes factor)…

Instrumentation and Methods for Astrophysics · Physics 2025-09-17 Federico Pozzoli , Jonathan Gair , Riccardo Buscicchio , Lorenzo Speri

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

All gravitational-wave signals are inevitably gravitationally lensed by intervening matter as they propagate through the Universe. When a gravitational-wave signal is magnified, it \emph{appears} to have originated from a closer, more…

High Energy Astrophysical Phenomena · Physics 2026-01-21 Amanda M. Farah , Jose María Ezquiaga , Maya Fishbach , Daniel E. Holz

We study the prospects of detecting continuous gravitational waves (CGWs) from spinning neutron stars (NSs), gravitationally lensed by the galactic supermassive black hole. Assuming various astrophysically motivated spatial distributions of…

General Relativity and Quantum Cosmology · Physics 2023-01-13 Soummyadip Basak , Aditya Kumar Sharma , Shasvath J. Kapadia , Parameswaran Ajith

Gravitational lensing is the relativistic effect generated by massive bodies, which bend the space-time surrounding them. It is a deeply investigated topic in astrophysics and allows validating theoretical relativistic results and studying…

Instrumentation and Methods for Astrophysics · Physics 2023-06-26 Nicolò Oreste Pinciroli Vago , Piero Fraternali

The current gravitational-wave localization methods rely mainly on sources with electromagnetic counterparts. Unfortunately, a binary black hole does not emit light. Due to this, it is generally not possible to localize these objects…

High Energy Astrophysical Phenomena · Physics 2020-09-02 Otto A. Hannuksela , Thomas E. Collett , Mesut Çalışkan , Tjonnie G. F. Li
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