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Since the development of Relativity theory, a variety of solutions have been found around Einstein field equations, depending on the time-space. For instance, we can find the axially symmetric space which describes a rotanting black hole.…

广义相对论与量子宇宙学 · 物理学 2014-09-08 Jonathan Pineda , Leonardo Castañeda , Juan Manuel Tejeiro

In this paper, we study the geodesic motion in spherically symmetric electro-vacuum Euclidean solutions of the Einstein equation. There are two kinds of such solutions: the Euclidean Reissner-Nordstr\"{o}m (ERN) metrics, and the…

广义相对论与量子宇宙学 · 物理学 2024-04-17 Arthur Garnier

The Weyl gravity appears to be a very peculiar theory. The contribution of the Weyl linear parameter to the effective geodesic potential is opposite for massive and nonmassive geodesics. However, photon geodesics do not depend on the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. Pireaux

Assuming a static and spherically symmetric spacetime, we propose a novel concept of the total deflection angle of a light ray. The concept is defined by the difference between the sum of internal angles of two triangles; one of the…

广义相对论与量子宇宙学 · 物理学 2021-08-18 Hideyoshi Arakida

In this work we find analytical solutions to the null geodesics in the hyperbolic topological black hole spacetime of conformal Weyl gravity in an invariant $2$-plane given by the orbits of an azimuthal Killing vector. Exact expressions for…

广义相对论与量子宇宙学 · 物理学 2018-08-24 Graeme Candlish , Marco Olivares , Constanza Osses , J. R. Villanueva

In this paper we derive the geodesic equation for massive particles and light for the black spindle spacetime. The solution for light can be formulated in terms of the Weierstra{\ss} {\wp}-, {\sigma}- and {\zeta}-function, whereas a part of…

广义相对论与量子宇宙学 · 物理学 2021-02-03 Kai Flathmann , Noa Wassermann

Geometric optics effectively describes the propagation of electromagnetic waves when the wavelength is much smaller than the characteristic length scale of the medium, making wave phenomena like diffraction negligible. As a result, light…

广义相对论与量子宇宙学 · 物理学 2025-02-06 Sebastian Murk , Daniel R. Terno , Rama Vadapalli

We firstly present a new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity and then investigate the propagation of photon in this background. This solution…

广义相对论与量子宇宙学 · 物理学 2018-12-04 Songbai Chen , Lu Zhang , Jiliang Jing

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…

广义相对论与量子宇宙学 · 物理学 2023-12-12 Flavio C. Sánchez , Armando A. Roque , Benito Rodríguez , Javier Chagoya

In this paper, we present a new heuristic derivation of the gravitational deflection of light around the Sun at the undergraduate level. Instead of solving the geodesic equation directly, we compute the correct deflection angle by focusing…

综合物理 · 物理学 2024-05-08 Hongbin Kim , Dong-han Yeom , Jong Hyun Kim

Deflection of light due to massive objects was predicted by Einstein in his General Theory of Relativity. This deflection of light has been calculated by many researchers in past, for spherically symmetric objects. But, in reality, most of…

广义相对论与量子宇宙学 · 物理学 2023-03-07 Ranchhaigiri Brahma , A. K. Sen

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…

广义相对论与量子宇宙学 · 物理学 2010-07-21 Arunava Bhadra

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…

天体物理学 · 物理学 2007-05-23 P. Teyssandier , C. Le Poncin-Lafitte

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…

广义相对论与量子宇宙学 · 物理学 2018-09-28 Chenmei Xu , Yisong Yang

We present a framework for the study of lensing in spherically symmetric spacetimes within the context of f(R) gravity. Equations for the propagation of null geodesics, together with an expression for the bending angle are derived for any…

广义相对论与量子宇宙学 · 物理学 2011-02-25 Anne Marie Nzioki , Peter K. S. Dunsby , Rituparno Goswami , Sante Carloni

An exact solution is obtained for the gravitational bending of light in static, spherically symmetric metrics which includes the Schwarzschild-de Sitter spacetime and also the Mannheim-Kazanas metric of conformal Weyl gravity. From the…

广义相对论与量子宇宙学 · 物理学 2017-01-06 Yen-Kheng Lim , Qing-hai Wang

The purpose of this study is the derivation of the equation of motion for particles and light in the spacetime of Reissner-Nordstr\"{o}m-(anti-)de Sitter black holes in the background of different kinds of regular and exotic matter fields.…

广义相对论与量子宇宙学 · 物理学 2019-07-24 Arindam Kumar Chatterjee , Kai Flathmann , Hemwati Nandan , Anik Rudra

Light bending is one of the significant predictions of general relativity (GR) and it has been confirmed with great accuracy during the last one hundred years. In this paper, we semiclassically calculate the deflection angle for the photons…

广义相对论与量子宇宙学 · 物理学 2017-06-28 Lei Feng

We study the completeness of light trajectories in certain spherically symmetric regular geometries found in Palatini theories of gravity threaded by non-linear (electromagnetic) fields, which makes their propagation to happen along…

广义相对论与量子宇宙学 · 物理学 2023-09-25 Merce Guerrero , Gonzalo J. Olmo , Diego Rubiera-Garcia

In this work, the trajectories of particles around a black bounce spacetime are considered, with the Simpson-Visser model serving as an example. Trajectories for massless and massive particles are obtained through the study of null and…

广义相对论与量子宇宙学 · 物理学 2024-04-29 Marcos V. de S. Silva , Manuel E. Rodrigues