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In this paper, we re-examine the light deflection in the Schwarzschild and the Schwarzschild-de Sitter spacetime. First, supposing a static and spherically symmetric spacetime, we propose the definition of the total deflection angle…

General Relativity and Quantum Cosmology · Physics 2018-04-09 Hideyoshi Arakida

We consider a traversable wormhole solution of Einstein's gravity conformally coupled to a massless scalar field, a solution derived by Barcelo and Visser based on the JNWW spacetime. We study the geodesic motion of time-, light- and…

General Relativity and Quantum Cosmology · Physics 2018-06-19 Felix Willenborg , Saskia Grunau , Burkhard Kleihaus , Jutta Kunz

Wormholes are one of the most interesting topological features in spacetime, offering a rat run between two vastly separated regions of the universe. In this paper, we study the deflection angle of light by wormholes, which are supported by…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Kimet Jusufi , Ali Övgün , Ayan Banerjee , İzzet Sakallı

We investigate cosmology-driven modifications to Schwarzschild-like black hole spacetimes and analyze their impact on photon propagation, gravitational lensing, and shadow observation. The gravitational deflection angle is computed using…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Ritesh Pandey , Shubham Kala , Amare Abebe , Hemwati Nandan , G. G. L. Nashed

We consider the bending of light around a compact astrophysical object with both the electric field and the magnetic field in Einstein-Born-Infeld theory. From the null geodesic of a light ray passing a massive object with electric charge…

General Relativity and Quantum Cosmology · Physics 2024-10-21 Jin Young Kim

In this article we study the geodesic motion of test particles and light in the five-dimensional Myers-Perry-anti de Sitter spacetime. We derive the equations of motion and present their solutions in terms of the Weierstra{\ss} $\wp$-,…

General Relativity and Quantum Cosmology · Physics 2018-02-12 Saskia Grunau , Hendrik Neumann , Stephan Reimers

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 study optical metrics via null geodesics as a central force system, deduce the related Binet equation and apply the analysis to certain solutions of Einstein's equations with and without spherical symmetry. A general formula for the…

General Relativity and Quantum Cosmology · Physics 2022-05-12 D. Batic , S. Chanda , P. Guha

We extend to higher order a recently published method for calculating the deflection angle of light in a general static and spherically symmetric metric. Since the method is convergent we obtain very accurate analytical expressions that we…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Paolo Amore , Santiago Arceo , Francisco Fernandez

Starting from well-known absolute instruments for perfect imaging, we introduce a type of rotational-symmetrical compact closed manifolds, namely geodesic lenses. We demonstrate that light rays confined on geodesic lenses are closed…

Optics · Physics 2018-02-01 Lin Xu , Xiangyang Wang , Tomáš Tyc , Chong Sheng , Shining Zhu , Hui Liu , Huanyang Chen

The propagation of electromagnetic waves in vacuum is often described within the geometrical optics approximation, which predicts that wave rays follow null geodesics. However, this model is valid only in the limit of infinitely high…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Marius A. Oancea , Jérémie Joudioux , I. Y. Dodin , D. E. Ruiz , Claudio F. Paganini , Lars Andersson

Light is the richest information retriever for most physical systems, particularly so for astronomy and cosmology, in which gravitation is of paramount importance, and also for solid state defects and metamaterials, in which some effects…

General Relativity and Quantum Cosmology · Physics 2017-04-03 Lucas T. Santana , Maurício O. Calvão , Ribamar R. R. Reis , Beatriz B. Siffert

The shadows and photon spheres are investigated for both static and rotating traversable wormholes. In particular, with a red-shift function constructed in combination with two distinct shape functions, the null geodesic equation is found…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Takol Tangphati , Phongpichit Channuie , Kazuharu Bamba , Davood Momeni

In the present paper we study the geodesic motion of test particles and light rays in the spacetime of a static charged black hole in $f(R)$ gravity. The complete set of analytic solutions of the geodesic equations in the spacetime of this…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Saheb Soroushfar , Reza Saffari , Saskia Grunau

We give a fully analytical description of radial and angular geodesics for massive particles that travel in the spacetime provided by a (3+1)-dimensional scale-dependent black hole in the cosmological background, for which, the quantum…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Mohsen Fathi

We investigate strong gravitational lensing by a marginally unstable photon sphere in a Reissner-Nordstr\"{o}m naked singularity spacetime. Using the Picard-Fuchs equation, we derive full-order power series expressions for the deflection…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Tadashi Sasaki

The propagation of light in area metric spacetimes, which naturally emerge as refined backgrounds in quantum electrodynamics and quantum gravity, is studied from first principles. In the geometric-optical limit, light rays are found to…

High Energy Physics - Theory · Physics 2009-01-28 Raffaele Punzi , Frederic P. Schuller , Mattias N. R. Wohlfarth

We study the gravitational lensing scenario where the lens is a spherically symmetric charged black hole (BH) surrounded by quintessence matter. The null geodesic equations in the curved background of the black hole are derived. The…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Mustapha Azreg-Aïnou , Sebastian Bahamonde , Mubasher Jamil

By using the Gauss-Bonnet theorem, the bending angle of light in a static, spherically symmetric and asymptotically flat spacetime has been recently discussed, especially by taking account of the finite distance from a lens object to a…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Toshiaki Ono , Asahi Ishihara , Hideki Asada

The deflection and gravitational lensing of light and massive particles in arbitrary static, spherically symmetric and asymptotically (anti-)de Sitter spacetimes are considered in this work. We first proved that for spacetimes whose metric…

General Relativity and Quantum Cosmology · Physics 2021-10-13 Zixiao Li , Haotian Liu , Junji Jia