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Related papers: Image distortion in non perturbative gravitational…

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In a previous article concerning image distortion in non-perturbative gravitational lensing theory we described how to introduce shape and distortion parameters for small sources. We also showed how they could be expressed in terms of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Simonetta Frittelli , Thomas P. Kling , Ezra T. Newman

Image distortion due to weak gravitational lensing is examined using a non-perturbative method of integrating the geodesic deviation and optical scalar equations along the null geodesics connecting the observer to a distant source. The…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Thomas P. Kling , Louis Bianchini

In this paper, we study the gravitational lensing around the static and spherically symmetric DD black holes, which we recently derived as perturbations of the Schwarzschild geometry within the revised Deser-Woodard theory of nonlocal…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Rocco D'Agostino , Vittorio De Falco

We investigate the gravitational lens effect caused by a non-spherically distorted compact object. The non-spherical property of the gravitational potential is modeled by a quadrupole moment. Under the assumption that the quadrupole…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-03 Amano Saijo , Masumi Kasai

We model the supermassive dark object $M87^*$ as a Schwarzschild lens and study the variations in tangential, radial, and total (the product of tangential and radial) magnifications of images (primary, secondary, and relativistic) against…

General Relativity and Quantum Cosmology · Physics 2022-09-23 K. S. Virbhadra

We investigate gravitational lensing by \textit{special} Buchdahl inspired metric with the Buchdahl parameter $\tilde{k}$. In strong deflection limit, we derive the deflection angle analytically for the light rays that diverge as photons…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Shafia Maryam , Mubasher Jamil , Mustapha Azreg-Aïnou , Zoe C S Chan

We revisit the gravitational lensing of light or gravitational waves by Schwarzschild black hole in geometric optics. Instead of a single massless particle, we investigate the collective behavior of a congruence of light/gravitational rays,…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Zhao Li , Xiao Guo , Tan Liu , Tao Zhu , Wen Zhao

We recently hypothesized that a distortion parameter exists such that its signed sum for all images of singular gravitational lensing of a source vanishes identically [K. S. Virbhadra, Phys. Rev. D {\bf 106}, 064038 (2022)]. We found a…

General Relativity and Quantum Cosmology · Physics 2024-06-05 K. S. Virbhadra

This paper investigates the novel phenomenon of gravitational lensing experienced by gravitational waves traveling past a Schwarzschild black hole perturbed by a specific, first-order, polar gravitational wave. We utilize the Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2024-08-23 Reggie C. Pantig , Ali Övgün

We develop the spacetime approach to gravitational lensing by spherically symmetric perturbations of flat, cosmological constant-dominated Friedman-Robertson-Walker metrics. The geodesics of the spacetime are expressed as integral…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Thomas P. Kling , Sophia MacQueen Pooler

In this paper, we investigate the gravitational lensing properties of magnetically charged black holes within the framework of nonlinear electrodynamics. We derive the deflection angle and examine the influence of the nonlinear…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Hira Waseem , Nikko John Leo S. Lobos , Ali Övgün , Reggie C. Pantig

The images of many distant galaxies are displaced, distorted and often multiplied by the presence of foreground massive galaxies near the line of sight; the foreground galaxies act as gravitational lenses. Commonly, the lens equation, which…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Simonetta Frittelli , Thomas P. Kling , Ezra T. Newman

We develop a perturbation theory for surfaces confining photons and massive particles in static spherically symmetric spacetimes in terms of two parameters: the mass-to-energy ratio and the deviation of metric functions from a given form,…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Kirill Kobialko , Dmitri Gal'tsov

In this paper we have investigated the gravitational lensing in a spherically symmetric spacetime with torsion in the generalized Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity by considering higher order terms. The torsion…

General Relativity and Quantum Cosmology · Physics 2018-06-07 Lu Zhang , Songbai Chen , Jiliang Jing

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

Noncommutative geometry may be a starting point to a quantum gravity. We study the influence of the spacetime noncommutative parameter on the strong field gravitational lensing in the noncommutative Schwarzschild black-hole spacetime and…

General Relativity and Quantum Cosmology · Physics 2011-04-22 Chikun Ding , Shuai Kang , Chang-Yong Chen , Songbai Chen , Jiliang Jing

The bending angle of light is a central quantity in the theory of gravitational lensing. We develop an analytical perturbation framework for calculating the bending angle of light rays lensed by a Schwarzschild black hole. Using a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Savitri V. Iyer , Arlie O. Petters

The theory of gravitational lensing is reviewed from a spacetime perspective, without quasi-Newtonian approximations. More precisely, the review covers all aspects of gravitational lensing where light propagation is described in terms of…

General Relativity and Quantum Cosmology · Physics 2010-10-19 Volker Perlick

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

We study the gravitational microlensing of various static and spherically symmetric non-singular black holes (and horizonless, non-singular compact objects of similar size). For pointlike sources we extend the parametrized post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Jens Boos , Hao Hu
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