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We discuss the contribution to the characteristic lensing quantities, i.e. the deflection angle and Einstein radius, due to the higher order terms (e.g. the gravitomagnetic terms) considered in the lens potential. The cases we analyze are…

Astrophysics · Physics 2011-01-27 Salvatore Capozziello , Virginia Re

In this geometrical approach to gravitational lensing theory, we apply the Gauss-Bonnet theorem to the optical metric of a lens, modelled as a static, spherically symmetric, perfect non-relativistic fluid, in the weak deflection limit. We…

General Relativity and Quantum Cosmology · Physics 2008-12-18 G W Gibbons , M C Werner

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

The lensing at large deflection angles caused by a Schwarzschild black hole for the case of a nonminimal coupling between gravitation and electromagnetism is examined. We show that photons follow an effective geometry, which displays an…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Santiago E. P. Bergliaffa , Edson Elias de Souza Filho , Rodrigo Maier

We investigate the influence of plasma presence on relativistic images formed by Schwarzschild black hole lensing. When a gravitating body is surrounded by a plasma, the lensing angle depends on a frequency of the electromagnetic wave due…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan

It has been more than a century since first Lorentz and later Einstein explored relativistic events and still important consequences of that remains unclear to everybody. The present study extensively focus on Lorentz (Length) contraction…

General Physics · Physics 2010-01-25 Bayram Akarsu

We develop a non--perturbative method that yields analytical expressions for the deflection angle of light in a general static and spherically symmetric metric. It is an improvement on a method previously devised by the authors, and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paolo Amore , Mayra Cervantes , Arturo De Pace , Francisco M. Fernandez

Recently, we proposed a generalized Gibbons-Werner (GW) method for analyzing particle trajectories in rotating spacetimes, regardless of their asymptotic behavior [Huang \textit{et al.},…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Yang Huang , Xiangyun Fu , Zhenyan Lu , Xin Qin

Relativistic aberration influences apparent luminosities of objects moving with relativistic relative velocities. The superluminosity or dimming of incoming or receding jets ejected from Active Galactic Nuclei is believed to be the…

Astrophysics · Physics 2007-05-23 Oleg Semyonov

The deflection of light's trajectory has been studied in many different spacetime geometries in weak and strong gravity, including the special cases of spherically symmetric static and spinning black holes. It is also well known that the…

General Relativity and Quantum Cosmology · Physics 2018-08-22 S. V. Iyer

In 1919, Eddington and Dyson led two famous expeditions to measure the bending of light during a total solar eclipse. The results of this effort led to the first experimental confirmation of Einstein's General Relativity and contributed to…

Physics Education · Physics 2020-06-24 Emanuele Goldoni , Ledo Stefanini

The observation of the bending of light by mass, now known as gravitational lensing, was key in establishing general relativity as one of the pillars of modern physics. In the past couple of decades, there has been increasing interest in…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Arthur B. Congdon , Savitri V. Iyer , Charles R. Keeton

Classical light bending is investigated for weak gravitational fields in the presence of hypothetical local Lorentz violation. Using an effective field theory framework that describes general deviations from local Lorentz invariance, we…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Rhondale Tso , Quentin G. Bailey

We firstly present a new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity and then investigate the propagation of photon in this background. This solution…

General Relativity and Quantum Cosmology · Physics 2018-12-04 Songbai Chen , Lu Zhang , Jiliang Jing

This paper investigates gravitational lensing effects in the presence of plasma in the strong deflection limit, which corresponds to light rays circling around a compact object and forming higher-order images. While previous studies of this…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Fabiano Feleppa , Valerio Bozza , Oleg Yu. Tsupko

The influence of the relativistic motion of the reference frame on the light reflection law is investigated. The method is based on applying the relativistic aberration affect for three light signals: incident, normal and reflected rays.…

General Physics · Physics 2008-12-02 V. M. Red'kov , Bernhard Rothenstein , George J. Spix

In this paper, we study the weak gravitational lensing in the spacetime of rotating regular black hole geometries such as Ayon-Beato-Garc\'ia (ABG), Bardeen, and Hayward black holes. We calculate the deflection angle of light using the…

General Relativity and Quantum Cosmology · Physics 2018-06-12 Kimet Jusufi , Ali Övgün , Joel Saavedra , P. A. González , Yerko Vásquez

While most strong-gravitational-lensing systems may be roughly modelled by a single massive object between the source and the observer, in the details all the structures near the light path contribute to the observed images. These…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-01 Pierre Fleury , Julien Larena , Jean-Philippe Uzan

We present a simple prescription for the rotation of polarization produced by a relativistically moving gravitational lens, applicable to arbitrary deflection angle and arbitrary velocity of the lens. When geometric optics is applicable,…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Maxim Lyutikov

The effect of currents of mass on bending of light rays is considered in the weak field regime. Following Fermat's principle and the standard theory of gravitational lensing, we derive the gravitomagnetic correction to time delay function…

Astrophysics · Physics 2009-11-07 M. Sereno