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It is discussed in detail the complete mathematical model of gravitational lensing on a single cosmic string (CS) of general shape and position with respect to the line of sight. CS are one-dimensional extended objects assuredly predicted…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-16 Igor I. Bulygin , Mikhail V. Sazhin , Olga S. Sazhina

Within the closed universe, we obtain the amplitude and frequency of gravitational waves in the terms of discrete wave numbers, wave propagation time, and cosmological constant using the deviation equation in the first-order perturbed…

General Relativity and Quantum Cosmology · Physics 2021-05-27 Jafar Khodagholizadeh , Amir H. Abbassi , Ali Vahedi , Komeil Babaei

Gravitational waves emitted by kinks on infinite strings are investigated using detailed estimations of the kink distribution on infinite strings. We find that gravitational waves from kinks can be detected by future pulsar timing…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Masahiro Kawasaki , Koichi Miyamoto , Kazunori Nakayama

We discuss the amplitude and phase fluctuations of gravitational waves due to wave optics lensing in the presence of both a strong lens and cosmological weak lenses. By applying the geometric optics approximation to the strong lens and…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-03 Yuta Nakazono , Teruaki Suyama

Gravitational lensing by gravitational wave is considered. We notice that although final and initial direction of photons coincide, displacement between final and initial trajectories occurs. This displacement is calculated analytically for…

Astrophysics · Physics 2009-01-31 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

In a gravitational lensing system, the relative transverse velocities of the lens, source, and observer induce a frequency shift in the observed radiation. While this shift is typically negligible in most astrophysical contexts, strategies…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Mikołaj Korzyński , Mateusz Kulejewski

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 (GWs) offer a new observational window into the universe, providing insights into compact objects and cosmic structures. Gravitational lensing, commonly studied in electromagnetic waves, also affects GWs, introducing…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-25 Xing-Yu Yang , Tan Chen , Rong-Gen Cai

We study the deflection of light in the background of a "wiggly" cosmic string, and investigate whether it is possible to detect cosmic strings by means of weak gravitational lensing. For straight strings without small-scale structure there…

Astrophysics · Physics 2007-10-11 Sergei Dyda , Robert H. Brandenberger

In a recent paper [Ruffa] it was proposed that the massive black hole at the Galactic center may act as a gravitational lens focusing gravitational wave energy to the Earth. Considering the gravitational wave signal emitted by galactic…

Astrophysics · Physics 2009-11-07 F. De Paolis , G. Ingrosso , A. A. Nucita , A. Qadir

We calculate the deflection of a light ray caused by the gravitational field of a cosmic string loop in the weak field limit and reduce the problem to a single quadrature over a time slice of the loop's world sheet. We then apply this…

Astrophysics · Physics 2011-09-09 Andrew A de Laix , Tanmay Vachaspati

Cosmic strings represent an attractive source of gravitational waves (GWs) from the early Universe. However, numerical computation of the GW signal from cosmic strings requires the evaluation of complicated integral and sum expressions,…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-18 Kai Schmitz , Tobias Schroeder

We present a framework for detecting gravitational-wave signals lensed by cosmic strings (CSs), addressing a key gap in current searches. CSs, whose detection would provide a unique probe of high-energy physics and the early Universe,…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Oleg Bulashenko , Nino Villanueva , Roberto Bada Nerin , José A. Font

The curved spacetime induced by gravitational waves can give rise to visual effects such as geometric distortions and redshift structures in the observed image. By establishing a mapping from the object's surface coordinates to the…

General Relativity and Quantum Cosmology · Physics 2024-04-12 Ke Wang , Chao-Jun Feng

Gravitational lensing of electromagnetic (EM) waves has yielded many profound discoveries across fundamental physics, astronomy, astrophysics, and cosmology. Similar to EM waves, gravitational waves (GWs) can also be lensed. When their…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Zhao-Feng Wu , Otto A. Hannuksela , Martin Hendry , Quynh Lan Nguyen

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 consider an inflating universe with long straight cosmic string along z-axis. We show that the effect of cosmic string can be taken as a perturbation on the background of FRW metric. Then by doing cosmological perturbations…

General Relativity and Quantum Cosmology · Physics 2024-05-07 S. Azar Ag Galeh , A. M. Abbassi , M. H. Abbassi

Gravitational waves are oscillations of space-time that are created, for example, in black hole mergers. If these waves travel through another massive astrophysical object, they will undergo an effect called gravitational lensing, that will…

Instrumentation and Methods for Astrophysics · Physics 2024-07-16 Helena Ubach , Jordi Espuny

We discuss the quantum mechanical description of a gravitational wave interacting with a cavity electromagnetic field. Quantum fluctuations of the gravitational vacuum induce squeezing in the optical field. Moreover, this squeezing…

Quantum Physics · Physics 2020-06-19 Thiago Guerreiro

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