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The purpose of this article is twofold. First, we extend the results presented in [Gabriel Crisnejo and Emanuel Gallo, Phys.Rev.D 97, 124016 (2018)] to stationary spacetimes. Specifically, we show that the Gauss-Bonnet theorem can be…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Gabriel Crisnejo , Emanuel Gallo , Kimet Jusufi

Continuing work initiated in an earlier publication [Ishihara, Suzuki, Ono, Kitamura, Asada, Phys. Rev. D {\bf 94}, 084015 (2016) ], we discuss a method of calculating the bending angle of light in a static, spherically symmetric and…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Asahi Ishihara , Yusuke Suzuki , Toshiaki Ono , Hideki Asada

We apply the Gauss-Bonnet theorem to the study of light rays in a plasma medium in a static and spherically symmetric gravitational field and also to the study of timelike geodesics followed for test massive particles in a spacetime with…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Gabriel Crisnejo , Emanuel Gallo

We discuss a possible extension of calculations of the bending angle of light in a static, spherically symmetric and asymptotically flat spacetime to a non-asymptotically flat case. We examine a relation between the bending angle of light…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Asahi Ishihara , Yusuke Suzuki , Toshiaki Ono , Takao Kitamura , Hideki Asada

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

In recent study in Ref.[7] (arXiv: 2401.12525), we have introduced a method aimed at calculating the weak-field asymptotic deflection angle. This method offers an efficient computational approach that avoids the complexities of integration…

General Relativity and Quantum Cosmology · Physics 2024-02-02 Zonghai Li

In this work we extend the approach used in [Emanuel Gallo and Osvaldo M. Moreschi, Phys. Rev. D 83, 12 083007 (2011)] to the study of weak gravitational lensing in a plasma medium. First, we present expressions for the deflection angle and…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Gabriel Crisnejo , Emanuel Gallo , José R. Villanueva

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

In most analytical studies of light ray propagation in curved spacetimes around a gravitating object surrounded by a medium, it is assumed that the medium is a cold nonmagnetized plasma. The distinctive feature of this environment is that…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Barbora Bezděková , Oleg Yu. Tsupko , Christian Pfeifer

In this review, various researches on finding the bending angle of light deflected by a massive gravitating object which regard the Gauss-Bonnet theorem as the premise have been revised. Primarily, the Gibbons and Werner method is studied…

General Relativity and Quantum Cosmology · Physics 2021-11-05 Yashmitha Kumaran , Ali Övgün

In order to clarify effects of the finite distance from a lens object to a light source and a receiver, the gravitational deflection of light has been recently reexamined by using the Gauss-Bonnet (GB) theorem in differential geometry…

General Relativity and Quantum Cosmology · Physics 2019-11-07 Toshiaki Ono , Hideki Asada

In this paper, we argue that one can calculate the weak deflection angle of light in the background of Einstein-Maxwell-Dilaton-Axion black hole using the Gauss-Bonnet theorem. To support this, the optical geometry of the black hole with…

General Relativity and Quantum Cosmology · Physics 2019-11-19 W. Javed , R. Babar , A. Övgün

The influence of plasma on different effects of gravitational lensing is reviewed. Using the Hamiltonian approach for geometrical optics in a medium in the presence of gravity, an exact formula for the photon deflection angle by a black…

General Relativity and Quantum Cosmology · Physics 2015-07-31 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

In this article, we study the weak gravitational lensing in the background of regular, static, spherically symmetric black hole solutions of Einstein's standard general relativity coupled with nonlinear electrodynamics. The weak deflection…

General Relativity and Quantum Cosmology · Physics 2025-09-04 Susmita Sarkar , Nayan Sarkar , Hasrat Hussian Shah , Pankaj Balo , Farook Rahaman

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

Using the Gauss-Bonnet theorem, we compute and examine the deflection angle of light rays by rotating regular black holes with a cosmological constant. By the help of optical geometries, we first deal with the Hayward black holes with…

General Relativity and Quantum Cosmology · Physics 2022-11-30 A. Belhaj , H. Belmahi , M. Benali , H. El Moumni

After discussing some subtle issues concerning the computation of deflection angle, a general but simple expression of bending angle of light rays in weak deflection limit has been presented for a general static and spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2010-07-21 Arunava Bhadra

This paper is devoted to compute the weak deflection angle for Kalb-Ramond traversable wormhole solution in plasma and dark matter mediums by using the method of Gibbons and Werner. To acquire our results, we evaluate Gaussian optical…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Wajiha Javed , Hafsa Irshad , Reggie C. Pantig , Ali Övgün

The influence of the medium on the gravitational deflection of light rays is widely discussed in literature for the simplest non-trivial case: cold non-magnetized plasma. In this article, we generalize these studies to the case of an…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Oleg Yu. Tsupko

The principal objective of this project is to investigate the gravitational lensing by asymptotically flat black holes in the framework of Horndeski theory in weak field limits. To achieve this objective, we utilize the Gauss-Bonnet theorem…

General Relativity and Quantum Cosmology · Physics 2021-02-08 Wajiha Javed , Jameela Abbas , Yashmitha Kumaran , Ali Övgün
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