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A generalized lens equation for weak gravitational fields in Schwarzschild metric and valid for finite distances of source and observer from the light deflecting body is suggested. The magnitude of neglected terms in the generalized lens…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Sven Zschocke

A simple general relativity theory for objects moving in gravitational fields is developed based on studying the behavior of an atom in a gravitational field. The theory is applied to calculate the satellite time dilation, light deflection…

General Physics · Physics 2007-05-23 Yehea I. Ismail

Recent experiments on ultra slow light in strongly dispersive media by several research groups reporting slowing down of the optical pulses down to speeds of a few metres per second encourage us to examine the intriguing possibility of…

Optics · Physics 2007-12-27 N. Kumar

We give the lens equation for light deflections caused by point mass condensations in an otherwise spatially homogeneous and flat universe. We assume the signal from a distant source is deflected by a single condensation before it reaches…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Bin Chen , Ronald Kantowski , Xinyu Dai

The deflection of light rays near gravitating objects can be influenced not only by gravity itself but also by the surrounding medium. Analytical studies of such effects are possible within the geometrical optics approximation, where the…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Christian Pfeifer , Barbora Bezděková , Oleg Yu. Tsupko

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…

Astrophysics · Physics 2008-11-26 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…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Hideyoshi Arakida

We propose a novel concept of astrophysical mirroring in the schwarzschild framework, which emerges as a direct consequence of gravitational lensing effects occurring in the immediate vicinity of extremely dense massive objects within…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Bikramarka S Choudhury , Aritra Sanyal , Md Khalid Hossain , Farook Rahaman

We investigate the deflection angle in a strong deflection limit for a marginally unstable photon sphere in a general asymptotically flat, static and spherically symmetric spacetime under some assumptions to calculate observables. The…

General Relativity and Quantum Cosmology · Physics 2020-11-12 Naoki Tsukamoto

We investigate the equatorial deflection angle of light rays propagating in Kerr-Newman black-bounce spacetime. Furthermore, we analyze the light ray trajectories and derive a closed-form formula for deflection angle in terms of elliptic…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Saptaswa Ghosh , Arpan Bhattacharyya

We estimate the changes in solar system tests of general relativity when "dark energy" arises from a Weyl scaling invariant action, using the modified Schwarzschild-like spherically symmetric solution obtained in this case by Adler and…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Stephen L. Adler

We discuss the deflection of light and Shapiro delay under the influence of gravity as described by Schwarzschild metric. We obtain an exact expression based on the coordinate velocity, as first set forth by Einstein, and present a…

General Relativity and Quantum Cosmology · Physics 2012-10-23 Sina Ataollah Khorasani

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

Gravitational lens models with negative convergence(surface mass density projected onto the lens plane) inspired by modified gravity theories, exotic matter and energy have been recently discussed in such a way that a static and…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Koji Izumi , Chisaki Hagiwara , Koki Nakajima , Takao Kitamura , Hideki Asada

The gravitational deflection of test particles including light, due to a radially moving Kerr-Newman black hole with an arbitrary constant velocity being perpendicular to its angular momentum, is investigated. In harmonic coordinates, we…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Guansheng He , Wenbin Lin

We investigate gravitational lensing by \textit{special} Buchdahl inspired metric with the Buchdahl parameter $\tilde{k}$. In strong deflection limit, we derive the deflection angle analytically for the light rays that diverge as photons…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Shafia Maryam , Mubasher Jamil , Mustapha Azreg-Aïnou , Zoe C S Chan

We study the deflection of light (and the redshift, or integrated time delay) caused by the time-dependent gravitational field generated by a localized material source lying close to the line of sight. Our calculation explicitly takes into…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thibault Damour , Gilles Esposito-Farese

We demonstrate that the location of a stable photon sphere (PS) in a compact object is not always an edge such as the inner boundary of a black hole shadow, whereas the location of an unstable PS is known to be the shadow edge notably in…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Ryuya Kudo , Hideki Asada

Deflection angles of massive test particles moving along an unbound trajectory in the Schwarzschild metric are considered for the case of large deflection. We analytically consider the strong deflection limit, which is opposite to the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Oleg Yu. Tsupko

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.…

Astrophysics · Physics 2009-10-22 Ruth Durrer