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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

Extending physics/0701092, a light source of monochromatic radiation, in rectilinear motion under constant proper acceleration, passes near an observer at rest. In the context of special relativity, we describe the observed Doppler effect.…

General Physics · Physics 2008-10-15 F. M. Paiva , A. F. F. Teixeira

We have developed a method to study the effects of a perturbation to the motion of a test point--like object in a Schwarzschild spacetime. Such a method is the extension of the Lagrangian planetary equations of classical celestial mechanics…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Mirco Calura , Enrico Montanari , Pierluigi Fortini

We study the local shadow of the Schwarzschild black hole with a quadrupole distortion and the influence of the external gravitational field on the photon dynamics. The external matter sources modify the light ring structure and lead to the…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Jai Grover , Jutta Kunz , Petya Nedkova , Alexander Wittig , Stoytcho Yazadjiev

The Doppler effect of light was implemented by interference with a reference wave to infer linear velocities in early manifestations, and more recently lateral and angular velocities with scalar phase structured light. A consequence of the…

Optics · Physics 2019-12-10 Liang Fang , Zhenyu Wan , Andrew Forbes , Jian Wang

The expression of gravitational time advancement (negative time delay) for particles with non-zero mass in Schwarzschild geometry has been obtained. The influences of the gravitational field that describes the observed rotation curves of…

General Relativity and Quantum Cosmology · Physics 2019-05-21 Samrat Ghosh , Arunava Bhadra , Amitabha Mukhopadhyay

The observed flat rotation curves of galaxies require either the presence of dark matter in Newtonian gravitational potentials or a significant modification to the theory of gravity at galactic scales. Detecting relativistic Doppler shifts…

Astrophysics of Galaxies · Physics 2012-02-15 Alan Cooney , Dimitrios Psaltis , Dennis Zaritsky

This paper aims to shed some more light on one of the best known phenomena in the field of physics, the Doppler effect, in particular, on its classical version. Although, as mentioned, it is a phenomenon already described more than 150…

Classical Physics · Physics 2024-09-24 Óscar Alejos , José María Muñoz

Using the Einstein gravitation theory (EGT) we calculate the Schwarzschild metric that is defined in the surrounding vacuum of a spherically symmetric mass distribution, not in rotation. The field equations of the EGT with this metric were…

General Relativity and Quantum Cosmology · Physics 2010-05-25 M. Cattani

This is a short note to announce the availability of some movies that may be useful in classroom discussions on the photographic appearance of objects moving at relativistic speeds. The images are based on special relativity with no account…

Physics Education · Physics 2007-05-23 Leo Brewin

A gravitational field can cause a rotation of the polarisation plane of light. This phenomenon is known as the gravitational Faraday effect. It arises due to different spin-orbit interaction of left- and right-handed circularly polarised…

General Relativity and Quantum Cosmology · Physics 2024-04-25 Andrey A. Shoom

Considering a Schwarzschild black hole surrounded by a fully ionized hydrogen plasma, we study the refractive effect and the pure gravitational effect of the plasma on the shadow. The effects are treated in a unified formalism but…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Qiang Li , Yanni Zhu , Towe Wang

[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

It is shown without making use of Lorentz transformation that there exists a phenomenon of relativistic zero-frequency shift in Doppler effect for a plane wave in free space, observed in two inertial frames of relative motion, and the zero…

General Physics · Physics 2012-12-14 Changbiao Wang

The gravitational field of a laser pulse of finite lifetime, is investigated in the framework of linearized gravity. Although the effects are very small, they may be of fundamental physical interest. It is shown that the gravitational field…

Quantum Physics · Physics 2017-01-04 Dennis Rätzel , Martin Wilkens , Ralf Menzel

Propagation of relativistic particles in the Schwarzschild gravitational field is studied. Particles emitted radially outward with speed at infinity exceeding c/2^0.5 are observed to be accelerated in the gravitational field by a distant…

Earth and Planetary Astrophysics · Physics 2014-11-20 Marek Kutschera , Wieslaw Zajiczek

A monochromatic linear source of light is rotated with certain angular frequency and when such light is analysed after reflection then a change of frequency or wavelength may be observed depending on the location of the observer. This…

Optics · Physics 2007-05-23 Amit Halder

The radius of the observable region of the Universe is of the order of its Schwarzschild radius. Due to the spherical symmetry, this allows to check the properties of the gravitational force in the vicinity of the Schwarzschild radius by…

General Physics · Physics 2014-03-05 Leonid Verozub

The well-known linear Doppler effect arises from the linear motion between source and observer, while the less well-known rotational Doppler effect arises from the rotational motion. Here, we present both theories and experiments…

Optics · Physics 2019-12-10 Liang Fang , Miles J. Padgett , Jian Wang

A critical review of frequency-shift phenomena a la Doppler effect is presented. The importance of Fermi's theory of 1932 is pointed out, and it is argued that there exists a gap in our understanding of this phenomena at a fundamental…

Quantum Physics · Physics 2007-05-23 S C Tiwari