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The merger of two black holes is one of the most extraordinary events in the natural world. Made of pure gravity, the holes combine to form a single hole, emitting a strong burst of gravitational radiation. Ground-based detectors are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Bernard F. Schutz

We present a method to include lensing selection effects due to the finite horizon of a given detector when studying lensing of gravitational wave (GW) sources. When selection effects are included, the mean of the magnification distribution…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-21 Giulia Cusin , Nicola Tamanini

We identify a binary black hole (BBH) merger that appears to be multiply lensed by an intervening galaxy. The LIGO/Virgo events GW170809 and GW170814 have indistinguishable waveforms separated by 5 days, and overlap on the sky within the…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-11 Tom Broadhurst , Jose M. Diego , George F. Smoot

The gravitational wave signals from coalescing Supermassive Black Hole Binaries are prime targets for the Laser Interferometer Space Antenna (LISA). With optimal data processing techniques, the LISA observatory should be able to detect…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Neil J. Cornish , Edward K. Porter

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

Gravitational waves (GWs) can be deflected, similarly to electromagnetic (EM) waves, by massive objects through the phenomenon of gravitational lensing. The importance of gravitational lensing for GW astronomy is becoming increasingly…

General Relativity and Quantum Cosmology · Physics 2024-04-08 Eungwang Seo , Tjonnie Guan Feng Li , Martin Anthony Hendry

We present the first detailed computations of wave optics effects in the gravitational lensing of binary systems. The field is conceptually rich, combining the caustic singularities produced in classical gravitational lensing with quantum…

General Relativity and Quantum Cosmology · Physics 2020-08-06 Job Feldbrugge , Neil Turok

Millilensed gravitational waves (GWs) can potentially be identified by the interference signatures caused by $\sim\!O(10\textrm{--}100)~\textrm{ms}$ time delays between multiple overlapping lensed signals. However, distinguishing…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Anna Liu , Kyungmin Kim

As plans for the construction of third-generation gravitational wave (GW) detectors advance, research into strongly lensed GWs has become increasingly critical. It is anticipated that hundreds of multi-image lensed GWs will be detected…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-11 Youkai Li , Kai Liao , Mingqi Sun , Lilan Yang , Xuheng Ding , Marek Biesiada , Tonghua Liu

Gravitational lensing refers to the deflection of light by the gravity of celestial bodies, often predominantly composed of dark matter. Seen through a gravitational lens, the images of distant galaxies appear distorted. In this paper we…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-22 Hans Georg Schaatun , Ben David Normann , Einar Leite Austnes , Simon Ingebrigtsen , Sondre Westbø Remøy , Simon Nedreberg Runde

While the third LIGO--Virgo gravitational-wave transient catalog includes 90 signals, it is believed that ${\cal O}(10^5)$ binary black holes merge somewhere in the Universe every year. Although these signals are too weak to be detected…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Xiao-Xiao Kou , Muhammed Saleem , Vuk Mandic , Colm Talbot , Eric Thrane

While the LIGO/Virgo/KAGRA (LVK) gravitational wave (GW) detectors have detected over 300 binary black hole (BBH) mergers to date, the first confirmation of an electromagnetic (EM) counterpart to such an event remains elusive. Previous…

High Energy Astrophysical Phenomena · Physics 2026-03-04 Tomás Cabrera , Antonella Palmese , Maya Fishbach

We review the theoretical aspects of gravitational lensing by black holes, and discuss the perspectives for realistic observations. We will first treat lensing by spherically symmetric black holes, in which the formation of infinite…

General Relativity and Quantum Cosmology · Physics 2014-11-20 V. Bozza

Gravitational waves detected by advanced ground-based detectors have allowed studying the universe in a way which is fully complementary to electromagnetic observations. As more sources are detected, it will be possible to measure…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Salvatore Vitale , Chris Whittle

Recent breakthroughs in the field of numerical relativity have led to dramatic progress in understanding the predictions of General Relativity for the dynamical interactions of two black holes in the regime of very strong gravitational…

General Relativity and Quantum Cosmology · Physics 2011-02-18 Joan M. Centrella , John G. Baker , Bernard J. Kelly , James R. van Meter

Pre-merger gravitational-wave (GW) sky-localisation of binary neutron star (BNS) and neutron star black hole (NSBH) coalescence events, would enable telescopes to capture precursors and electromagnetic (EM) emissions around the time of the…

High Energy Astrophysical Phenomena · Physics 2023-02-07 Sourabh Magare , Shasvath J. Kapadia , Anupreeta More , Mukesh Kumar Singh , Parameswaran Ajith , A. N. Ramprakash

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

The amplification of a light beam due to intervening gravitational waves is studied. The previous Jordan frame result according to which the amplification is many orders of magnitude larger in scalar-tensor gravity than in general…

Astrophysics · Physics 2014-10-13 Valerio Faraoni , Edgard Gunzig

The recent discovery of the stochastic gravitational-wave background via pulsar timing arrays will likely be followed by the detection of individual black hole binaries that stand out above the background. However, to confidently claim the…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Bence Bécsy , Neil J. Cornish , Polina Petrov , Xavier Siemens , Stephen R. Taylor , Sarah J. Vigeland , Caitlin A. Witt

The measurement of the Hubble constant $H_0$ plays a central role in modern cosmology. In this work, we investigate the potential of strongly lensed gravitational-wave (SLGW) signals from massive binary black hole mergers to constrain $H_0$…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-28 Yong Yuan , Minghui Du , Wen-Fan Feng , Benyang Zhu , Qing Diao , Peng Xu , Xilong Fan