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The deflection of light ray passing near the Sun is calculated with quantum-corrected Newton's gravitation law. The satisfactory result suggests that there may exist other theoretical possibilities besides the theory of relativity.

Quantum Physics · Physics 2007-05-23 Zhen Wang

A scalar, preferred-frame theory of gravitation is summarized. Space-time is endowed with both a flat metric and a curved, "physical" metric. Motion is governed by a natural extension of Newton's second law, which implies geodesic motion…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

The semi-review paper studies the null geodesics which appear for black hole solutions in the gravitational $4d$ model with anisotropic fluid. The equations of state for the fluid and solutions itselves depend upon integer parameter $q = 1,…

General Relativity and Quantum Cosmology · Physics 2025-09-11 V. D. Ivashchuk , S. V. Bolokhov , F. B. Belissarova , N. Kydyrbay , A. N. Malybayev , G. S. Nurbakova , B. Zheng

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

We explore the shifted $f(R) (\propto R^{1+\delta})$ model with ${\delta}$ as a distinguishing physical parameter for the study of constraints at local scales. The corresponding dynamics confronted with different geodesics (null and…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-05 Vipin Kumar Sharma , Murli Manohar Verma

The Kerr spacetime is one of the most widely known solutions to Einstein's vacuum field equations and is commonly used to describe a black hole with mass $m$ and spin $a$. Astrophysical observations in the electromagnetic spectrum as well…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Torben C. Frost

In this work we examine refraction of light by computing full solutions to axion electrodynamics. We also allow for the possibility of an additional plasma component. We then specialise to wavelengths which are small compared to background…

High Energy Physics - Phenomenology · Physics 2020-09-01 Jamie I. McDonald , Luís B. Ventura

Applying the perturbative approach to geodesic equations, we study motion of the test particles in time-dependent spherically symmetric spacetimes created by oscillating dark matter. Assuming the weakness of the gravitational field, we…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Vladimir A. Koutvitsky , Eugene M. Maslov

Both null and timelike rays experience trajectory bending in a gravitational field. In this work, we systematically develop a perturbative method to compute the deflection angle of rays with general velocity $v$ in arbitrary static and…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Junji Jia

We develop a method for deriving approximate analytical formulae to integrate photon geodesics in a Schwarzschild spacetime. Based on this, we derive the approximate equations for light bending and propagation delay that have been…

High Energy Astrophysical Phenomena · Physics 2016-11-02 Vittorio De Falco , Maurizio Falanga , Luigi Stella

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

In this letter first we show that the equation of null geodesics in spherically symmetric spacetimes in isotropic coordinates is identical to the equation of light ray trajectories in isotropic media in flat spacetime. Based on this analogy…

General Relativity and Quantum Cosmology · Physics 2022-12-21 M. Nouri-Zonoz , A. Parvizi , H. Forghani

The tangent vector of the light trajectory at future infinity and the angle of total light deflection in the gravitational field of an isolated axisymmetric body at rest with full set of mass-multipoles and spin-multipoles is determined in…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Sven Zschocke

Geodesics are used in a wide array of applications in cosmology and astrophysics. However, it is not a trivial task to efficiently calculate exact geodesic distances in an arbitrary spacetime. We show that in spatially flat…

General Relativity and Quantum Cosmology · Physics 2017-11-29 William J. Cunningham , David Rideout , James Halverson , Dmitri Krioukov

We study trajectories of test particles around a luminous, static, spherically symmetric neutron star, under the combined influence of gravity and radiation. In general relativity, for Schwarzschild spacetime, an equilibrium sphere (the…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Ronaldo S. S. Vieira , Maciek Wielgus

We study the deflection angle of a light ray as it traverses on the equatorial plane of a charged spinning black hole. We provide detailed analysis of the light ray's trajectory, and derive the closed-form expression of the deflection angle…

General Relativity and Quantum Cosmology · Physics 2020-04-15 You-Wei Hsiao , Da-Shin Lee , Chi-Yong Lin

We calculate the deflection angle, as well as the positions and magnifications of the lensed images, in the case of covariant $f(T)$ gravity. We first extract the spherically symmetric solutions for both the pure-tetrad and the covariant…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-26 Xin Ren , Yaqi Zhao , Emmanuel N. Saridakis , Yi-Fu Cai

This study explores the deflection angle of photon rays or light-like geodesics within the framework of Eddington-inspired Born-Infeld (EiBI) gravity background space-time, taking into account the influence of cosmic strings. The primary…

General Relativity and Quantum Cosmology · Physics 2024-04-01 Faizuddin Ahmed

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

Among the so-called classical tests of general relativity (GR), light bending has been confirmed with an accuracy that increases as times goes by. Here we study the gravitational deflection of photons within the framework of classical and…

High Energy Physics - Theory · Physics 2015-06-11 Antonio Accioly , José Helayël-Neto , Breno Giacchini , Wallace Herdy