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We discuss, without assuming asymptotic flatness, a gravitational lens for an observer and source that are within a finite distance from a lens object. The proposed lens equation is consistent with the deflection angle of light that is…

广义相对论与量子宇宙学 · 物理学 2020-09-30 Keita Takizawa , Toshiaki Ono , Hideki Asada

In this paper, the gravitational deflection of relativistic massive particles up to the second post-Minkowskian order by static and spherically symmetric wormholes is investigated in the weak-field limit. These wormholes include the…

广义相对论与量子宇宙学 · 物理学 2020-02-05 Zonghai Li , Guansheng He , Tao Zhou

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

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…

广义相对论与量子宇宙学 · 物理学 2025-09-19 Ritesh Pandey , Shubham Kala , Amare Abebe , Hemwati Nandan , G. G. L. Nashed

The effect of currents of mass on bending of light rays is considered in the weak field regime. Following Fermat's principle and the standard theory of gravitational lensing, we derive the gravitomagnetic correction to time delay function…

天体物理学 · 物理学 2009-11-07 M. Sereno

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

We consider the problem of gravitational deflection of a propagating relativistic massive particles by rotating black holes (Kerr black holes) and rotating wormholes (Teo wormholes) in the weak limit approximation. In particular we have…

广义相对论与量子宇宙学 · 物理学 2019-10-08 Kimet Jusufi

We present a framework that reformulates gravitational lensing as an optical phenomenon governed by an effective refractive index, enabling exploration of modified gravity theories using undergraduate-level mathematics and optics. After…

广义相对论与量子宇宙学 · 物理学 2026-04-09 Romy Hanang Setya Budhi

We develop an iterative approach to gravitational lensing theory based on approximate solutions of the null geodesic equations. The approach can be employed in any space-time which is ``close'' to a space-time in which the null geodesic…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Thomas P. Kling , Ezra T. Newman , Alejandro Perez

In this work, we investigate the weak deflection angle of light from exact black hole within the non-linear electrodynamics. First we calculate the Gaussian optical curvature using the optical spacetime geometry. With the help of modern…

广义相对论与量子宇宙学 · 物理学 2020-05-20 Wajiha Javed , Ali Hamza , Ali Övgün

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…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Paolo Amore , Santiago Arceo , Francisco Fernandez

In this work, we develop a general perturbative procedure to find the off-equatorial plane deflections in the weak deflection limit in general stationary and axisymmetric spacetimes, allowing the existence of the generalized Carter…

广义相对论与量子宇宙学 · 物理学 2024-12-24 Xinguang Ying , Junji Jia

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…

综合物理 · 物理学 2019-11-22 Wajiha Javed , Jameela Abbas , Ali Övgün

We calculate the deflection angle of light from a distant source by a galaxy cluster in Weyl's conformal gravity. The general method of calculation is first applied to calculate the deflection angle in Schwarzschild-de Sitter (Kottler)…

广义相对论与量子宇宙学 · 物理学 2019-10-18 Oguzhan Kasikci , Cemsinan Deliduman

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…

广义相对论与量子宇宙学 · 物理学 2019-11-07 Toshiaki Ono , Hideki Asada

We study light propagation and gravitational lensing in scalar-tensor theories of gravity by using a static, axisymmetric exterior solution. The solution has asymptotic flatness properties and is reduced to Voorhees's one in the case of a…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Shin-ei Tsuneishi , Kazuya Watanabe , Tooru Tsuchida

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…

广义相对论与量子宇宙学 · 物理学 2019-11-27 Gabriel Crisnejo , Emanuel Gallo , Kimet Jusufi

The observation of the bending of light by mass, now known as gravitational lensing, was key in establishing general relativity as one of the pillars of modern physics. In the past couple of decades, there has been increasing interest in…

广义相对论与量子宇宙学 · 物理学 2022-07-20 Arthur B. Congdon , Savitri V. Iyer , Charles R. Keeton

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 in the approximation of the linearized Einstein equations. All terms of order…

广义相对论与量子宇宙学 · 物理学 2007-12-05 Sergei Kopeikin , Valeri Makarov

The deflection of a ray of light passing close to a gravitational mass, is generally calculated from the null geodesic which the light ray (photon) follows. However, there is an alternate approach, where the effect of gravitation on the ray…

广义相对论与量子宇宙学 · 物理学 2010-02-08 A. K. Sen