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Both massless light ray and objects with nonzero mass experience trajectory bending in a gravitational field. In this work the bending of trajectories of massive objects in a Schwarzschild spacetime and the corresponding gravitational…

General Relativity and Quantum Cosmology · Physics 2016-09-02 Xionghui Liu , Nan Yang , Junji Jia

Gravitational lensing will cause a dispersion in the Hubble diagram for high redshift sources. This effect will introduce a bias in the cosmological parameter determination using the distance-redshift relation for Type Ia supernovae. In…

Astrophysics · Physics 2009-11-07 R. Amanullah , E. Mortsell , A. Goobar

Gravitational waves can act like gravitational lenses, affecting the observed positions, brightnesses, and redshifts of distant objects. Exact expressions for such effects are derived here in general relativity, allowing for…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Abraham I. Harte

Strong gravitational lenses allow us to peer into the farthest reaches of space by bending the light from a background object around a massive object in the foreground. Unfortunately, these lenses are extremely rare, and manually finding…

Instrumentation and Methods for Astrophysics · Physics 2022-10-24 Stephen Sheng , Keerthi Vasan G. C , Chi Po Choi , James Sharpnack , Tucker Jones

The gravitational deflection of massless and massive particles, both with and without spin, has been extensively studied. This paper discusses the lensing of a particle which oscillates between two interaction eigenstates. The deflection…

High Energy Astrophysical Phenomena · Physics 2018-04-25 J-F. Glicenstein

Gravitational waves (GW), as light, are gravitationally lensed by intervening matter, deflecting their trajectories, delaying their arrival and occasionally producing multiple images. In theories beyond general relativity (GR), new…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Jose María Ezquiaga , Miguel Zumalacárregui

We present a framework that reformulates gravitational lensing as an optical phenomenon governed by an effective refractive index, enabling exploration of modified gravity theories using undergraduate-level mathematics and optics. After…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Romy Hanang Setya Budhi

We investigate the ability of ground based gravitational wave observatories to detect gravitational wave lensing events caused by stellar mass lenses. We show that LIGO and Virgo possess the sensitivities required to detect lenses with…

High Energy Astrophysical Phenomena · Physics 2018-12-05 Pierre Christian , Salvatore Vitale , Abraham Loeb

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 next generation of gravitational wave detectors and electromagnetic telescopes are beckoning the onset of the multi-messenger era and the exciting science that lies ahead. Multi-messenger strong gravitational lensing will help probe…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-05 Anupreeta More , Hemantakumar Phurailatpam

In the cold dark matter scenario, dark matter halos are assembled hierarchically from smaller subunits. Some of these subunits are disrupted during the merging process, whereas others survive temporarily in the form of subhalos. A…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 E. Zackrisson , T. Riehm

Strong gravitational lensing at the galaxy scale is a valuable tool for various applications in astrophysics and cosmology. The primary uses of galaxy-scale lensing are to study elliptical galaxies' mass structure and evolution, constrain…

Astrophysics of Galaxies · Physics 2025-04-08 A. J. Shajib , G. Vernardos , T. E. Collett , V. Motta , D. Sluse , L. L. R. Williams , P. Saha , S. Birrer , C. Spiniello , T. Treu

The possibility to detect cosmic strings -- topological defects of early Universe, by means of wave effects in gravitational lensing is discussed. To find the optimal observation conditions, we define the hyperbolic-shaped Fresnel…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-05 Isabel Fernández-Núñez , Oleg Bulashenko

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

Gravitational lensing represents a powerful tool to estimate the cosmological pa- rameters and the distribution of dark matter. I will describe the main observable quantities, concentrating on strong lensing, that manifests its effect…

Astrophysics · Physics 2007-05-23 C. Tortora

We consider bound geodesic orbits of test masses in the exterior gravitational field of a rotating astronomical source whose proper angular momentum varies linearly with time. The linear perturbation approach of Lense and Thirring is herein…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Chicone , B. Mashhoon

The last decade has seen an enormous increase of activity in the field of gravitational lensing, mainly driven by improvements of observational capabilities. I will review the basics of gravitational lens theory, just enough to understand…

Astrophysics · Physics 2015-06-24 Peter Schneider

Light carries energy, and therefore, it is the source of a gravitational field. The gravitational field of a beam of light in the short wavelength approximation has been studied by several authors. In this article, we consider light of…

General Relativity and Quantum Cosmology · Physics 2019-02-26 Fabienne Schneiter , Dennis Rätzel , Daniel Braun

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