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In general relativity (GR), gravitational waves (GWs) propagate the well-known plus and cross polarization modes which are the signature of a massless spin-2 field. However, diffraction of GWs caused by intervening objects along the line of…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Charles Dalang , Giulia Cusin , Macarena Lagos

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

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

Gravitational waves are theorized to be gravitationally lensed when they propagate near massive objects. Such lensing effects cause potentially detectable repeated gravitational wave patterns in ground- and space-based gravitational wave…

Instrumentation and Methods for Astrophysics · Physics 2020-01-07 Amit Jit Singh , Ivan S. C. Li , Otto A. Hannuksela , Tjonnie G. F. Li , Kyungmin Kim

Propagating gravitational waves (GWs) can encounter a massive object (lens) whose gravitational radius is comparable to the wavelength of the GWs (wave-optics regime). The resulting `microlensed' signal contains imprints about the…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Gopalkrishna Prabhu , Uddeepta Deka , Sumanta Chakraborty , Shasvath J. Kapadia

When the gravitational lensing of the large-scale structure is calculated from a cosmological model a few assumptions enter: $(i)$ one assumes that the photons follow unperturbed background geodesics, which is usually referred to as the…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-28 Carolina Cuesta-Lazaro , Arnau Quera-Bofarull , Robert Reischke , Bjoern Malte Schaefer

Gravitational waves from binary black holes that are gravitationally lensed can be distorted by small microlenses along the line of sight. Microlenses with masses of a few tens of solar masses, and that are close to a critical curve in the…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-01 Jose M. Diego

Wave-optics phenomena in gravitational lensing occur when the signal's wavelength is commensurate to the gravitational radius of the lens. Although potentially detectable in lensed gravitational waves, fast radio bursts and pulsars,…

General Relativity and Quantum Cosmology · Physics 2025-06-20 Hector Villarrubia-Rojo , Stefano Savastano , Miguel Zumalacárregui , Lyla Choi , Srashti Goyal , Liang Dai , Giovanni Tambalo

By using the comoving distance, we derive an analytic expression for the optical depth of gravitational lensing, which depends on the redshift to the source and the cosmological model characterized by the cosmic mass density parameter…

Astrophysics · Physics 2008-11-26 Zong-Hong Zhu

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

The recent rapid growth of the black hole (BH) catalog from gravitational waves (GWs), has allowed us to study the substructure of black hole mass function (BHMF) beyond the simplest Power-Law distribution. However, the BH masses inferred…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-18 Xianlong He , Kai Liao , Xuheng Ding , Lilan Yang , Xudong Wen , Zhiqiang You , Zong-Hong Zhu

Gravitational lensing in wave optics is a rich field combining caustic singularities, general relativity and interference phenomena. We present a detailed evaluation of wave optics effects resulting from the frame-dragging of a rotating…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Béatrice Bonga , Job Feldbrugge , Ariadna Ribes Metidieri

We obtain static multi-polytropic wormhole solutions in the framework of GR gravity. The resulting metric is asymptotically Minkowskian, and locally that of a wormhole. We also examine gravitational lensing by the wormhole, and calculate…

General Relativity and Quantum Cosmology · Physics 2018-01-16 S. N. Sajadi , N. Riazi

Detection of quasi-monochromatic, long-duration (continuous) gravitational wave radiation emitted by, e.g., asymmetric rotating neutron stars in our Galaxy requires a long observation time to distinguish it from the detector's noise. If…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Sudhagar Suyamprakasam , Sreekanth Harikumar , Paweł Ciecieląg , Przemysław Figura , Michał Bejger , Marek Biesiada

The fraction of high-redshift sources which are multiply-imaged by intervening galaxies is strongly dependent on the cosmological constant, and so can be a useful probe of the cosmological model. However its power is limited by various…

Astrophysics · Physics 2009-10-31 Daniel J. Mortlock , Rachel L. Webster

The four observables associated with gravitational lensing of distant quasars by intervening galaxies: image splittings, relative amplifications, time delays, and optical depths, provide separate measures of the strength of the…

Astrophysics · Physics 2009-08-18 Lawrence Krauss , Martin White

We study lensing of gravitational waves by a black hole in the deep wave optics regime, i.e. when the wavelength is much larger than the black hole Schwarzschild radius. We apply it to triple systems, with a binary of stellar mass objects…

General Relativity and Quantum Cosmology · Physics 2024-04-11 Martin Pijnenburg , Giulia Cusin , Cyril Pitrou , Jean-Philippe Uzan

We consider the scattering of the gravitational waves by the weak gravitational fields of lens objects. We obtain the scattered gravitational waveform by treating the gravitational potential of the lens to first order, i.e. using the Born…

Astrophysics · Physics 2009-11-10 Ryuichi Takahashi , Teruaki Suyama , Shugo Michikoshi

It is standard practice to study the lensing of gravitational waves (GW) using the geometric optics regime. However, in many astrophysical configurations this regime breaks down as the wavelength becomes comparable to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Giulia Cusin , Macarena Lagos

Extreme mass ratio inspirals (EMRIs), i.e. binary systems comprised by a compact stellar-mass object orbiting a massive black hole, are expected to be among the primary gravitational wave (GW) sources for the forthcoming LISA mission. The…

Astrophysics of Galaxies · Physics 2020-11-25 Matteo Bonetti , Alberto Sesana
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