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Strong gravitational lensing produces multiple images of a gravitational wave (GW) signal, which can be observed by detectors as time-separated copies of the same event. It has been shown that under favourable circumstances, by combining…

General Relativity and Quantum Cosmology · Physics 2023-08-04 Harsh Narola , Justin Janquart , Leïla Haegel , K. Haris , Otto A. Hannuksela , Chris Van Den Broeck

We investigate the effects of the Kepler rotation of lens binaries on the binary-microlensing events towards the Large Magellanic Cloud (LMC) and the Small Magellanic Cloud (SMC). It is found that the rotation effects cannot always be…

Astrophysics · Physics 2009-10-31 K. Ioka , R. Nishi , Y. Kan-ya

The unusual properties of GW231123, including component masses within the pair-instability mass gap ($137^{+22}_{-17}\mathrm{M}_\odot$ and $103^{+20}_{-52}\mathrm{M}_\odot$ at 90\% credible intervals) and extremely large spins near the Kerr…

Astrophysics of Galaxies · Physics 2025-12-23 Xikai Shan , Huan Yang , Shude Mao

We construct a simple elliptical gravitational lens model for the quadruple lens B1422+231 and show that the details of the configuration cannot be easily understood in terms of this model; in particular, the flux ratios of the images are…

Astrophysics · Physics 2007-05-23 R. Kormann , P. Schneider , M. Bartelmann

Detecting compact objects by means of their gravitational lensing effect on an observed companion in a binary system has already been suggested almost four decades ago. However, these predictions were made even before the first observations…

Solar and Stellar Astrophysics · Physics 2015-05-19 S. Rahvar , A. Mehrabi , M. Dominik

We use comparisons between the shapes of gravitational lens galaxies and models for their mass distributions to derive statistical constraints on the alignment of the mass distribution relative to the observed lens galaxy and on the…

Astrophysics · Physics 2017-08-23 C. S. Kochanek

Keeping the exact general relativistic treatment of light bending as a reference, we compare the accuracy of commonly used approximate lens equations. We conclude that the best approximate lens equation is the Ohanian lens equation, for…

General Relativity and Quantum Cosmology · Physics 2008-12-18 V. Bozza

The recent discovery of gravitational waves (GWs) from stellar-mass binary black holes (BBHs) provided direct evidence of the existence of these systems. BBH lenses would have gravitational microlensing signatures that are distinct from…

High Energy Astrophysical Phenomena · Physics 2017-03-20 Daniel H. Eilbott , Alexander H. Riley , Jonathan H. Cohn , Michael Kesden , Lindsay J. King

We study gravitational lensing by compact objects in gravity theories that can be written in a Post-Post-Newtonian (PPN) framework: i.e., the metric is static and spherically symmetric, and can be written as a Taylor series in m/r, where m…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Charles R. Keeton , A. O. Petters

A gravitational lens system can be perturbed by "rogue systems" in angular proximities but at different distances. A point mass perturbed by another point mass can be considered as a large separation approximation of the double scattering…

Astrophysics of Galaxies · Physics 2009-11-17 Sun Hong Rhie , Clara S. Bennett

The precision reached by current and forthcoming strong-lensing observations requires to accurately model various perturbations to the main deflector. Hitherto, theoretical models have been developed to account for either cosmological…

General Relativity and Quantum Cosmology · Physics 2022-05-10 Pierre Fleury , Julien Larena , Jean-Philippe Uzan

When gravitational waves propagate near massive objects, their paths curve resulting in gravitational lensing, which is expected to be a promising new instrument in astrophysics. If the time delay between different paths is comparable with…

General Relativity and Quantum Cosmology · Physics 2022-07-14 Oleg Bulashenko , Helena Ubach

We discuss the phenomenology of gravitational lensing in the purely metric $f\left(\chi\right)$ gravity, an $f(R)$ gravity where the action of the gravitational field depends on the source mass. We focus on the strong lensing regime in…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-05 M. C. Campigotto , A. Diaferio , X. Hernandez , L. Fatibene

For observed galactic microlensing events only one fit is usually presented, though, especially for a binary lens, several fits may be possible. This has been shown for the MACHO LMC#1 event (Dominik & Hirshfeld 1996). Here I discuss the…

Astrophysics · Physics 2008-02-03 M. Dominik

A static and circularly symmetric lens characterized by mass and scalar charge parameters is constructed. For the small values of the scalar charge to the mass ratio, the gravitational lensing is qualitatively similar to the case of the…

Astrophysics · Physics 2011-05-23 K. S. Virbhadra , D. Narasimha , S. M. Chitre

Self-lensing (SL) represents a powerful technique for detecting compact objects in binary systems through gravitational microlensing effects, when a compact companion transits in front of its luminous partner. We present the first…

Astrophysics of Galaxies · Physics 2025-10-06 Grzegorz Wiktorowicz , Matthew Middleton , Mirek Giersz , Adam Ingram , Adam McMaster , Abbas Askar , Lucas Hellström

In these lectures I give an overview of gravitational lensing, concentrating on theoretical aspects, including derivations of some of the important results. Topics covered include the determination of surface mass densities of intervening…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-08 Alan Heavens

The weak gravitational lensing formalism can be extended to the strong lensing regime by integrating a nonlinear version of the geodesic deviation equation. The resulting "roulette" expansion generalises the notion of convergence, shear and…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Ben David Normann , Chris Clarkson

Gravitational lensing constitutes one of the most direct observational manifestations of spacetime curvature and provides a powerful probe of compact astrophysical objects. In this work, we present a comprehensive analysis of the bending of…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Partha Pratim Basumallick , Saheb Das , Bhaswati Mandal , Subhadip Sau