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The nature of gravity can be tested by how gravitational waves (GWs) are emitted, detected, and propagate through the universe. Propagation tests are powerful, as small deviations compound over cosmological distances. However, GW…

General Relativity and Quantum Cosmology · Physics 2025-02-03 Nicola Menadeo , Miguel Zumalacárregui

We develop geometric optics expansion up to the subleading order for circularly polarized electromagnetic waves on curved spacetime. This subleading order geometric optics expansion, in which the conventional eikonal function is modified by…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Pravin Kumar Dahal

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

Using the Teukolsky and Sasaki-Nakamura equations for the gravitational perturbation of the Kerr spacetime, we calculate the post-Newtonian expansion of the energy and angular momentum luminosities of gravitational waves from a test…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Masaru Shibata , Misao Sasaki , Hideyuki Tagoshi , Takahiro Tanaka

In this work, we study the gravitational lensing by a Lorentz-violating (LV) black hole inspired by the recent contribution [1]. Explicitly, we concentrate on a specific application: we perform the computation of gravitational lensing…

General Relativity and Quantum Cosmology · Physics 2025-11-21 A. A. Araújo Filho , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

The wave effect in the gravitational lensing phenomenon by a straight cosmic string is investigated. The interference pattern is expressed in terms of a simple formula. We demonstrate that modulations of the interfered wave amplitude can be…

Astrophysics · Physics 2009-11-10 Kazuhiro Yamamoto , Keiji Tsunoda

We investigate the possibility of determining the mass distribution of a gravitational lens via lensing observations. We consider an extended, compact gravitational lens, representing its static external gravitational potential via an…

General Relativity and Quantum Cosmology · Physics 2022-06-06 Slava G. Turyshev , Viktor T. Toth

The purpose of this paper is twofold. First, we introduce a geometric approach to study the circular orbit of a particle in static and spherically symmetric spacetime based on Jacobi metric. Second, we apply the circular orbit to study the…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Zonghai Li , Guodong Zhang , Ali Övgün

Lensed gravitational waves will offer new means to probe the distribution of matter in the universe, complementary to electromagnetic signals. Lensed continuous gravitational waves provide new challenges and opportunities beyond those of…

General Relativity and Quantum Cosmology · Physics 2024-02-01 Stefano Savastano , Filippo Vernizzi , Miguel Zumalacárregui

The cross-correlation of gravitational wave strain with upcoming galaxy surveys probe theories of gravity in a new way. This method enables testing the theory of gravity by combining the effects from both gravitational lensing of…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-01 Suvodip Mukherjee , Benjamin D. Wandelt , Joseph Silk

Discovery of strongly-lensed gravitational wave (GW) sources will unveil binary compact objects at higher redshifts and lower intrinsic luminosities than is possible without lensing. Such systems will yield unprecedented constraints on the…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-07 G. P. Smith , C. P. L. Berry , M. Bianconi , W. M. Farr , M. Jauzac , R. J. Massey , J. Richard , A. Robertson , K. Sharon , A. Vecchio , J. Veitch

In this second paper of our series started with \cite{Berens2024}, we investigate linearized gravitational perturbations of a rotating Kerr black hole in a non-asymptotically flat spacetime with (anti-)de Sitter boundary conditions. Here,…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Roman Berens , Trevor Gravely , Alexandru Lupsasca

Black holes are the most compact objects in the Universe. According to general relativity, black holes have a horizon that hides a singularity where Einstein's theory breaks down. Recently, gravitational waves opened the possibility to…

General Relativity and Quantum Cosmology · Physics 2022-12-01 Elisa Maggio

We present new results on gravitational lensing over a cosmological Robertson-Walker backgrounds which extend and generalize previous works. Our expressions show the presence of new terms and factors which have been neglected in the…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Ezequiel F. Boero , Osvaldo M. Moreschi

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

Considering the spacetime around a rotating massif body it is seen that the time of flight of a light ray is different whether it travels on one side of the source or on the other. The difference is proportional to the angular momentum of…

General Relativity and Quantum Cosmology · Physics 2009-09-25 A. Tartaglia

Plane-symmetric gravitational waves are considered as gravitational lenses. Numbers of images, frequency shifts, mutual angles, and image distortion parameters are computed exactly in essentially all non-singular plane wave spacetimes. For…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Abraham I. Harte

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

In this paper, we study the strong gravitational lensing of gravitational waves (GWs) from a statistical perspective, with particular focus on the high frequency GWs from stellar binary black hole coalescences. These are most promising…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-21 Shun-Sheng Li , Shude Mao , Yuetong Zhao , Youjun Lu

In one of our previous articles we have considered the role of a time dependent magnetic ellipticity on pulsars' braking indices and on the putative gravitational waves these objects can emit. Since only nine of more than 2000 known pulsars…

Solar and Stellar Astrophysics · Physics 2017-05-29 José C. N. de Araujo , Jaziel G. Coelho , César A. Costa