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An exact analytical expression for the bending angle of light due to a non-rotating massive object, considering the actual distances from source and observer to the gravitational mass, is derived. Our novel formula generalizes Darwin…

Instrumentation and Methods for Astrophysics · Physics 2024-10-08 Oscar del Barco

We present a covariant approach to the problem of light beam propagation in a spacetime. We develop our considerations within the framework of classical geometric optics in general relativity. Using the concept of a screen surface…

General Relativity and Quantum Cosmology · Physics 2020-01-10 Krzysztof Głód

In this paper we study the gravitational lensing effect for the Schwarzschild solution with holonomy corrections. We use two types of approximation methods to calculate the deflection angle, namely the weak and strong field limits. For the…

General Relativity and Quantum Cosmology · Physics 2024-01-10 Ednaldo L. B. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues , Henrique A. Vieira

Various results are obtained for a Friedmann-Robertson-Walker cosmology. We derive an exact equation that determines Hubble's law, clarify issues concerning the speeds of faraway objects and uncover a "tail-light angle effect" for distant…

Astrophysics · Physics 2007-05-23 Stuart Samuel

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…

General Relativity and Quantum Cosmology · Physics 2024-08-28 Nikodem Popławski

Dark matter currents in the large-scale structure give rise to gravitomagnetic terms in the metric, which affect the light propagation. Corrections to the weak lensing power spectrum due to these gravitomagnetic potentials are evaluated by…

Astrophysics · Physics 2013-03-07 Bjoern Malte Schaefer , Matthias Bartelmann

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…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Ritesh Pandey , Shubham Kala , Amare Abebe , Hemwati Nandan , G. G. L. Nashed

A black hole illuminated by a background light source is observed as a black hole shadow. For a black hole formed by gravitational collapse of a transmissive object, redshift of light due to the spacetime dynamics is expected to play a…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Yasutaka Koga , Nobuyuki Asaka , Masashi Kimura , Kazumasa Okabayashi

In previous works, we suggested considering a (3+1)D quantum gravitational field as an evolution of a (2+1)D renormalized quantum gravitational field along the direction of the gravitational force. The starting point of the suggestion is a…

General Relativity and Quantum Cosmology · Physics 2022-07-18 Merav Hadad

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…

General Relativity and Quantum Cosmology · Physics 2018-09-28 Chenmei Xu , Yisong Yang

[Translation of and Commentary on L\'eon Rosenfeld's "Ueber die Gravitationwirkungen des Lichtes", Zeitschrift fur Physik 65: 589-599 (1930). Originally published in German. Submitted for publication on September 26, 1930. See [1] in the…

History and Philosophy of Physics · Physics 2023-08-09 Alessio Rocci

We present new results on gravitational lensing over a cosmological Robertson-Walker backgrounds which extend and generalize previous works. Our expressions show the presence of new terms and factors which have been neglected in the…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Ezequiel F. Boero , Osvaldo M. Moreschi

It is known that a relative translational motion between the deflector and the observer affects gravitational lensing. In this paper, a lens equation is obtained to describe such effects on actual lensing observables. Results can be easily…

Astrophysics · Physics 2008-11-26 M. Sereno

Propagation of light in the gravitational field of self-gravitating spinning bodies moving with arbitrary velocities is discussed. The gravitational field is assumed to be "weak" everywhere. Equations of motion of a light ray are solved in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei Kopeikin , Bahram Mashhoon

Gravitational lensing caused by the gravitational field of massive objects has been studied and acknowledged for a long period of time. In this paper, however, we propose a different mechanism where the bending of light stems from the…

General Relativity and Quantum Cosmology · Physics 2021-01-21 O. Gurtug , M. Mangut , M. Halilsoy

Gravitational lensing directly measures mass density fluctuations along the lines of sight to very distant objects. No assumptions need to be made concerning bias, the ratio of fluctuations in galaxy density to mass density. Hence, lensing…

Astrophysics · Physics 2007-05-23 Joachim Wambsganss , Renyue Cen , Jeremiah P. Ostriker

In some scenarios, the peculiar gravitational potential of linear and mildly nonlinear structures depends on time and, as a result of this dependence, a late integrated Sachs-Wolfe effect appears. Here, an appropriate formalism is used…

Astrophysics · Physics 2009-10-31 Marius J. Fullana , Diego Saez

An interpretation of general relativity is developed in which the energy used to lift a body in a static gravitational field increases its rest mass. Observers at different gravitational potentials would experience different mass reference…

General Relativity and Quantum Cosmology · Physics 2012-12-04 James Kentosh

We point out that a pseudo-Newtonian interpretations of the $(1/3)$ factor in the Sachs-Wolfe effect, which relates the fluctuations in temperature and potential, $(\delta T/ T) = (1/ 3) \delta \Phi$, is not supported by the General…

Astrophysics · Physics 2009-11-06 J. Hwang , T. Padmanabhan , O. Lahav , H. Noh

The integrated Sachs-Wolfe (ISW) effect is a property of the Cosmic Microwave Background (CMB), in which photons from the CMB are gravitationally redshifted, causing the anisotropies in the CMB. An intriguing question is whether one can…

Mathematical Physics · Physics 2025-07-03 Julianne Chung , Yiran Wang