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The Gibbons-Werner (GW) method provides a geometric framework for calculating the deflection angle of particles in curved spacetimes, and numerous extensions based on the original version have been developed in recent years to expand its…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Yang Huang

The gravitational lensing of relativistic and nonrelativistic neutral massive particles in the black-bounce-Schwarzschild black hole spacetime is investigated in the strong deflection limit. Beginning with the explicit equations of motion…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Guansheng He , Jiaxu Huang , Zhongwen Feng , Ghulam Mustafa , Wenbin Lin

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

The gravitational deflection of light is a critical test of modified theories of gravity. A few years ago, Gibbons and Werner introduced a definition of the deflection angle based on the Gauss-Bonnet theorem. In more recent years, Arakida…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Flavio C. Sánchez , Armando A. Roque , Benito Rodríguez , Javier Chagoya

In this paper, we analyze deflection angle of photon from magnetized black hole within non-linear electrodynamics with parameter $\beta$. In doing so, we find the corresponding optical spacetime metric and then we calculate the Gaussian…

General Physics · Physics 2019-11-22 Wajiha Javed , Jameela Abbas , Ali Övgün

The current study aims to examine the impact of the boundary term on the bending angle of light for a static spherically symmetric black hole in the modified gravity described by the $f(\mathcal{T}, \mathcal{B})$ function. To accomplish…

General Relativity and Quantum Cosmology · Physics 2023-08-30 Nashiba Parbin , Dhruba Jyoti Gogoi , Jyatsnasree Bora , Umananda Dev Goswami

General relativistic deflection of light by mass, dipole, and quadrupole moments of gravitational field of a moving massive planet in the Solar system is derived. All terms of order 1 microarcsecond are taken into account, parametrized, and…

Astrophysics · Physics 2008-11-26 Sergei Kopeikin , Valeri Makarov

A consistent approach for an exhaustive solution of the problem of propagation of light rays in the field of gravitational waves emitted by a localized source of gravitational radiation is developed in the first post-Minkowskian and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer , Carl R. Gwinn , T. Marshall Eubanks

A rotating black hole in loop quantum gravity was constructed by Brahma, Chen, and Yeom based on a nonrotating counterpart using the revised Newman-Janis algorithm recently. For such spacetime, we investigate the weak gravitational…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Yang Huang , Zhoujian Cao

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

We study gravitational perturbations of Schwarzschild spacetime by solving a hyperboloidal initial value problem for the Bardeen-Press equation. Compactification along hyperboloidal surfaces in a scri-fixing gauge allows us to have access…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Anil Zenginoglu , Dario Nunez , Sascha Husa

The idea that the quantum space-time of microphysics may be fractal everywhere was intensively investigated recently, and several authors have presented the geodesic equations of different fractal space - times. In the present work we…

Quantum Physics · Physics 2008-06-19 M. E. Kahil , T. Harko

Gravitational light deflection is known as one of three classical tests of general relativity and the angle of deflection may be computed explicitly using approximate or exact solutions describing the gravitational force generated from a…

General Relativity and Quantum Cosmology · Physics 2018-09-28 Chenmei Xu , Yisong Yang

The physics associated with spherically symmetric charged black holes is analyzed from the point of view of using weak gravitational lensing as a means for determining the dimensionality of spacetime. In particular, for exact solutions of…

General Relativity and Quantum Cosmology · Physics 2008-01-28 Jop Briet , David Hobill

A point particle of mass $\mu$ moving on a geodesic creates a perturbation $h_{ab}$, of the spacetime metric $g_{ab}$, that diverges at the particle. Simple expressions are given for the singular $\mu/r$ part of $h_{ab}$ and its distortion…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler

We study the deflection of light rays in a cold, non-magnetized plasma using the worldline framework. Starting from Synge's Hamiltonian formalism, we construct a position-space action and use it perturbatively to calculate light bending…

High Energy Physics - Theory · Physics 2025-04-15 Francesco Comberiati , Leonardo de la Cruz

This work investigates additional gravitational features of a newly proposed black hole spacetime within Kalb-Ramond gravity, incorporating non-commutative corrections arising from a gauge-theoretic approach recently introduced in the…

General Relativity and Quantum Cosmology · Physics 2026-05-29 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo , Yuxuan Shi

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

The gravitational deflection of light ray is an important prediction of General Theory of Relativity. In this paper we develop analytical expression of the deflection of light ray without any weak field approximation due to a charged…

General Relativity and Quantum Cosmology · Physics 2017-06-05 Saswati Roy , A. K. Sen

We derive the deflection angle of light rays passing near a black hole with mass m and tidal charge q, confined to a generalized Randall-Sundrum brane with codimension one. We employ the weak lensing approach, up to the second order in…

General Relativity and Quantum Cosmology · Physics 2014-11-18 László Á. Gergely , Zoltán Keresztes , Marek Dwornik
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