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We study the path of light rays passing near a massive object, in the context of the scale invariant equation of the geodesics first obtained by Dirac (1973). Using the exterior Schwarzschild solution for the metric, we derive the complete…

Astrophysics of Galaxies · Physics 2024-07-25 Andre Maeder , Frederic Courbin

Both the non-homogeneous slowness of electromagnetic waves in gravitational fields and the frequency red shift contribute to the gravitational light bending. This twofold contribution explains the measured deflection of light rays by the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Igor Bulyzhenkov

In gravitational lensing, the usual viewpoint is that light bending measures how a ray deviates from a straight line in Euclidean space. In this work, we take the opposite perspective: we ask how a straight line bends in a curved space,…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Zonghai Li , Xiao-Jun Gao

Several recent papers have suggested that the cosmological constant Lambda directly influences the gravitational deflection of light. We place this problem in a cosmological context, deriving an expression for the linear potentials which…

Astrophysics · Physics 2012-01-16 Fergus Simpson , John A. Peacock , Alan F. Heavens

In the framework of $f(T)$ gravity, we focus on a weak-field and spherically symmetric solution for the Lagrangian $f(T)=T+\alpha T^{2}$, where $\alpha$ is a small constant which parameterizes the departure from General Relativity. In…

General Relativity and Quantum Cosmology · Physics 2016-05-16 Matteo Luca Ruggiero

The fact that the gravitation could deflect the light trajectory has been confirmed by a large number of observation data, that is consistent with the result calculated by Einstein's gravity. F(R)-gravity is the modification of Einstein's…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Long Huang , Feng He , Hai Huang , Min Yao

The apparent discrepancy between the bending of light predicted by the equivalence principle and its corresponding value in general relativity is resolved by evaluating the deflection of light with respect to a direction that is parallel…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Rafael Ferraro

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

Refraction deflects photons that pass through atmospheres, which affects transit light curves. Refraction thus provides an avenue to probe physical properties of exoplanet atmospheres and to constrain the presence of clouds and hazes. In…

Earth and Planetary Astrophysics · Physics 2018-01-24 Dennis Alp , Brice-Olivier Demory

We derive new limits on the value of the cosmological constant, $\Lambda$, based on the Einstein bending of light by systems where the lens is a distant galaxy or a cluster of galaxies. We use an amended lens equation in which the…

Astrophysics · Physics 2009-11-13 Mustapha Ishak , Wolfgang Rindler , Jason Dossett , Jacob Moldenhauer , Chris Allison

We report the observation of the magnetic field induced circular differential deflection of light at the interface of a Faraday medium. The difference in the angles of refraction or reflection between the two circular polarization…

Optics · Physics 2009-11-13 Ambarish Ghosh , Peer Fischer

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

We show that in the weak field limit the light deflection alone cannot distinguish between different $R + F[g(\square)R]$ models of gravity, where $F$ and $g$ are arbitrary functions. This does not imply, however, that in all these theories…

General Relativity and Quantum Cosmology · Physics 2018-03-09 Breno L. Giacchini , Ilya L. Shapiro

Classical light bending is investigated for weak gravitational fields in the presence of hypothetical local Lorentz violation. Using an effective field theory framework that describes general deviations from local Lorentz invariance, we…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Rhondale Tso , Quentin G. Bailey

Before an exoplanet transit, atmospheric refraction bends light into the line of sight of an observer. The refracted light forms a stellar mirage, a distorted secondary image of the host star. I model this phenomenon and the resultant…

Earth and Planetary Astrophysics · Physics 2017-10-25 Paul A. Dalba

The displacement of star images by atmospheric refraction observed by an Earth-bound telescope is dominated by a familiar term proportional to the product of the tangent of the zenith angle by the refractivity at the ground. The manuscript…

Instrumentation and Methods for Astrophysics · Physics 2015-03-02 Richard J. Mathar

In this research-paper, many of the general-relativity-tests such as bending of light near a star and gravitational red/blue shift are explained without general-relativity & even without Newtonian-approach. The authors first raise questions…

General Physics · Physics 2015-10-23 R. C. Gupta , Anirudh Pradhan , Sushant Gupta

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

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…

History and Philosophy of Physics · Physics 2025-12-12 Klaus Wilhelm , Bhola N. Dwivedi , Karsten Muller

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…

General Relativity and Quantum Cosmology · Physics 2007-12-05 Sergei Kopeikin , Valeri Makarov