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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…

广义相对论与量子宇宙学 · 物理学 2023-07-12 Sven Zschocke

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. All terms of order 1 microarcsecond are taken into account, parametrized, and…

天体物理学 · 物理学 2008-11-26 Sergei Kopeikin , Valeri Makarov

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

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

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

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 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…

广义相对论与量子宇宙学 · 物理学 2018-04-09 Hideyoshi Arakida

High-precision astrometry on sub-micro-arcsecond level in angular resolution requires accurate determination of the trajectory of a light-signal from the celestial light source through the gravitational field of the Solar system toward the…

广义相对论与量子宇宙学 · 物理学 2017-07-25 Sven Zschocke

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

The light deflection of one component of a binary system due to the gravitational field of the other component is investigated. While this relativistic effect has not been observed thus far, the question arises that whether this effect…

太阳与恒星天体物理 · 物理学 2015-06-11 Sven Zschocke

The Sun's gravitational field deflects the apparent positions of close objects in accordance with the formulae of general relativity. Optical astrometry is used to test the prediction, but only with the stars close to the Sun and only…

广义相对论与量子宇宙学 · 物理学 2015-11-03 O. Titov , A. Girdiuk

We determine the angle of deflection of light by the gravitational field inside and outside a spherical body with a homogeneous mass density. We show that the largest deflections, which can be measured by weak gravitational lensing, are in…

广义相对论与量子宇宙学 · 物理学 2024-08-28 Nikodem Popławski

The light trajectory in the gravitational field of one body at rest with monopole and quadrupole structure is determined in the second post-Newtonian (2PN) approximation. The terms in the geodesic equation for light rays are separated into…

广义相对论与量子宇宙学 · 物理学 2022-01-26 Sven Zschocke

Todays astrometry has reached the micro-arcsecond level in angular measurements of celestial objects. The next generations of astrometric facilities are aiming at the sub-micro-arcsecond scale. Sub-micro-arcsecond astrometry requires a…

广义相对论与量子宇宙学 · 物理学 2025-10-07 Sven Zschocke

We investigate the gravitational lensing of a Schwarzschild-de Sitter black hole with a global monopole at finite distances. In this asymptotically nonflat spacetime, the deflection angle of light is decomposed into two parts: the first…

广义相对论与量子宇宙学 · 物理学 2025-09-03 Yi Lu , Xiao-Yin Pan , Meng-Yun Lai , Qing-hai Wang

Given the extreme accuracy reached by future global space astrometry, one needs a global relativistic modeling of observations. A relativistic definition of astrometric observables is then essential to find uniquely coordinates, parallax…

广义相对论与量子宇宙学 · 物理学 2013-05-13 Stefano Bertone , Christophe Le Poncin-Lafitte

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

Before we discuss the deflection of light in a gravitational field, we give a brief overview of some basic physical formulas on photon properties, generation and propagation. The much debated problems of the redshift and the photon…

物理学史与哲学 · 物理学 2025-12-12 Klaus Wilhelm , Bhola N. Dwivedi , Karsten Muller

In this letter a new formula for light deflection is derived using only physically observable concepts. The general result is specialized to cosmological perturbation theory and expressed in terms of gauge--invariant perturbation variables.…

天体物理学 · 物理学 2009-10-22 Ruth Durrer

In this work are reviewed several aspects of gravitational lensing produced by astrophysical bodies that strongly curve the spacetime in their vicinity. When an object with a photon sphere (e.g. a black hole) is interposed between a source…

广义相对论与量子宇宙学 · 物理学 2014-09-15 Ernesto F. Eiroa
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