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In this paper we review the derivation of light bending obtained before the discovery of General Relativity (GR). It is intended for students learning GR or specialist that will find new lights and connexions on these historic derivations.…

General Relativity and Quantum Cosmology · Physics 2018-06-11 José-Philippe Pérez , Brahim Lamine

The bending of lightrays by the gravitational field of a ``lens'' that is moving relative to the observer is calculated within the approximation of weak fields, small angles and thin lenses. Up to first order in $v/c$ -- and assuming the…

Astrophysics · Physics 2009-11-07 Simonetta Frittelli

Several recent papers have suggested that the cosmological constant Lambda directly influences the gravitational deflection of light. We place this problem in a cosmological context, deriving an expression for the linear potentials which…

Astrophysics · Physics 2012-01-16 Fergus Simpson , John A. Peacock , Alan F. Heavens

By using a method improved with a generalized optical metric, the deflection of light for an observer and source at finite distance from a lens object in a stationary, axisymmetric and asymptotically flat spacetime has been recently…

General Relativity and Quantum Cosmology · Physics 2019-07-29 Toshiaki Ono , Asahi Ishihara , Hideki Asada

According to the theory of general relativity, masses deflect light in a way similar to convex glass lenses. This gravitational lensing effect is astigmatic, giving rise to image distortions. These distortions allow to quantify cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-21 Matthias Bartelmann , Matteo Maturi

We study the effects of ellipticity in lens galaxies and external tidal shear from neighboring objects on the statistics of strong gravitational lenses. For isothermal lens galaxies normalized so that the Einstein radius is independent of…

Astrophysics · Physics 2009-11-10 Dragan Huterer , Chuck Keeton , Chung-Pei Ma

According to GTR and subsequent developments in the field, it is known that there are three factors namely mass, rotation and charge that can influence the space-time geometry. Accordingly, we discuss the effect of space-time geometry of a…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Sarani Chakraborty , A. K. Sen

A fraction of the light observed from edge-on disk galaxies is polarized due to two physical effects: selective extinction by dust grains aligned with the magnetic field, and scattering of the anisotropic starlight field. Since the…

Instrumentation and Methods for Astrophysics · Physics 2021-01-20 Chien-Hao Lin , Brent Tan , Rachel Mandelbaum , Christopher M. Hirata

We investigate the gravitational lensing effect around a spherically symmetric black hole, whose metric is obtained from the Einstein field equation with electric charge and perfect-fluid dark matter contributing to its energy-momentum…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Xiao-Jun Gao , Xiao-kun Yan , Yihao Yin , Ya-Peng Hu

Here the gravitational lensing in strong field limit of a Schwarzschild black hole with a solid deficit angle owing to global monopole within the context of the $f(R)$ gravity theory is investigated. We obtain the expressions of deflection…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Jingyun Man , Hongbo Cheng

In gravitational lensing, the usual viewpoint is that light bending measures how a ray deviates from a straight line in Euclidean space. In this work, we take the opposite perspective: we ask how a straight line bends in a curved space,…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Zonghai Li , Xiao-Jun Gao

In this paper, we study the deflection of light by a class of charged wormholes within the context of the Einstein-Maxwell-dilaton theory. The primordial wormholes are predicted to exist in the early universe, where inflation driven by the…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Kimet Jusufi , Ali Övgün , Ayan Banerjee

In current microlensing experiments, the information about the physical parameters of individual lenses are obtained from the Einstein timescales. However, the nature of MACHOs is still very uncertain despite the large number of detected…

Astrophysics · Physics 2009-09-25 Youngjin Jeong , Cheongho Han , Sung-Hong Park

We develop a formulation of the strong deflection limit for the scattering of particles following timelike geodesics in asymptotically flat, static, and spherically symmetric spacetimes. For fixed specific energy, as the angular momentum…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Takahisa Igata , Yohsuke Takamori

The 0th order of affine perturbation series of the deflection angle of a ray near a photon sphere is more accurate than a deflection angle in a strong deflection limit, which is used often, because the later has hidden error terms. We…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Naoki Tsukamoto

In this paper, we delve into the gravitational lensing and photon trajectories in the vicinity of non-asymptotically flat black hole spacetimes within the framework of dRGT massive gravity, incorporating a non-zero graviton mass. We assume…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Haximjan Abdusattar , Yu-Xuan Han , Abdujappar Rusul , Shi-Bei Kong

We investigate the effects of the aberration of light for a uniformly accelerating observer. The observer we consider is initially at rest with respect to a luminous spherical object--a star, say--and then starts to move away with constant…

Classical Physics · Physics 2009-11-13 Robert Beig , J. Mark Heinzle

Almost all of the studies devoted to relativistic astrometry are based on the integration of the null geodesic differential equations. However, the gravitational deflection of light rays can be calculated by a different method, based on the…

Astrophysics · Physics 2007-05-23 P. Teyssandier , C. Le Poncin-Lafitte

We use ElectroMagnetic Quantum Gravity (EMQG) to provide a simple physical model of the Lense-Thirring effect on the earth. The Lense-Thirring effect is a tiny perturbation of the motion of a free-falling particle near a massive rotating…

General Physics · Physics 2007-05-23 Tom Ostoma , Mike Trushyk

Motivated by string theory scenarios, we study the optical aspect of AdS black holes in Einstein-Maxwell-dilaton theory. Concretely, we investigate and examine the shadows and the deflection angle of light rays by such cosmological black…

High Energy Physics - Theory · Physics 2025-01-27 Hajar Belmahi , Amin Mohamed Rbah
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