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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

Continuing work initiated in an earlier publication [Ishihara, Suzuki, Ono, Kitamura, Asada, Phys. Rev. D {\bf 94}, 084015 (2016) ], we discuss a method of calculating the bending angle of light in a static, spherically symmetric and…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Asahi Ishihara , Yusuke Suzuki , Toshiaki Ono , Hideki Asada

In this paper we study the light bending caused by a slowly rotating source in the context of quadratic theories of gravity, in which the Einstein--Hilbert action is extended by additional terms quadratic in the curvature tensors. The…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Luca Buoninfante , Breno L. Giacchini

We present a simple derivation of the Lorentz transformations for the space-time coordinates of the same event. It is based on the relative character of length and time interval as measured by observes in relative motion. We begin by…

General Physics · Physics 2007-12-05 Bernhard Rothenstein , Stefan Popescu

Light deflection in the post-linear gravitational field of two bounded point-like masses is treated. Both the light source and the observer are assumed to be located at infinity in an asymptotically flat space. The equations of light…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Michael H. Brügmann

General Relativity effects (gravitational redshift, light bending, ...) strongly modify the characteristics of the lines emitted close to the Black Hole in Active Galactic Nuclei and Galactic Black Hole systems. These effects are reviewed…

Astrophysics · Physics 2010-11-11 Giorgio Matt

We investigate the motion of spinning test bodies in General Relativity. By means of a multipolar approximation method for extended test bodies we derive the equations of motion, and classify the orbital motion of pole-dipole test bodies in…

General Relativity and Quantum Cosmology · Physics 2014-10-01 Eva Hackmann , Claus Lämmerzahl , Yuri N. Obukhov , Dirk Puetzfeld , Isabell Schaffer

We study Doppler effects in curved space-time, i.e. the frequency shifts induced on electromagnetic signals propagating in the gravitational field. In particular, we focus on the frequency shift due to the bending of light rays in weak…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Matteo Luca Ruggiero , Angelo Tartaglia , Lorenzo Iorio

We examine quantum corrections of time delay arising in the gravitational field of a spinning oblate source. Low-energy quantum effects occurring in Kerr geometry are derived within a framework where general relativity is fully seen as an…

A new Kerr-like metric with quadrupole moment is obtained by means of perturbing the Kerr spacetime. By comparison with the exterior Hartle-Thorne metric, it is showed that it could be matched to an interior solution. This metric may…

General Relativity and Quantum Cosmology · Physics 2014-01-09 Francisco Frutos-Alfaro

We derive the deflection angle of light rays passing near a black hole with mass m and tidal charge q, confined to a generalized Randall-Sundrum brane with codimension one. We employ the weak lensing approach, up to the second order in…

General Relativity and Quantum Cosmology · Physics 2014-11-18 László Á. Gergely , Zoltán Keresztes , Marek Dwornik

Time delays in gravitational lenses can be used to determine the Hubble constant and the lens potential. In future surveys, many gravitational lenses can be discovered, and their time delays and image positions can in principle be measured.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-10 Hans Witt , Shude Mao

Modifications to the classic time-delay effect and Doppler shift in General Relativity (GR) are studied in the context of the Lorentz-violating Standard-Model Extension (SME). We derive the leading Lorentz-violating corrections to the…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Quentin G. Bailey

We consider several aspects of the generalized multi-plane gravitational lens theory, in which light rays from a distant source are affected by several main deflectors, and in addition by the tidal gravitational field of the large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-10 Peter Schneider

In order to test the Einstein gravitation theory (EGT) we compare their predictions with the measured results in the following phenomena: the perihelion advance of planets, deflection of light, radar echo delays around the Sun and an…

General Relativity and Quantum Cosmology · Physics 2010-07-02 M. Cattani

The trajectory deflection and gravitational-electromagnetic dual lensing (GEL) of charged signal in general charged static and spherically symmetric spacetimes are considered in this work. We showed that the perturbative approach previously…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Xiaoge Xu , Tingyuan Jiang , Junji Jia

The gravitational deflection effect of relativistic massive and massless particles up to the first post-Minkowskian order caused by a moving Schwarzschild black hole with a two-dimensional equatorial velocity, which contains the radial and…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Xuan Wang , Wenbin Lin , Ghulam Mustafa , Guansheng He

An exact solution of Einstein's field equations in empty space first found in 1985 by Quevedo and Mashhoon is analyzed in detail. This solution generalizes Kerr spacetime to include the case of matter with arbitrary mass quadrupole moment…

General Relativity and Quantum Cosmology · Physics 2009-12-10 Donato Bini , Andrea Geralico , Orlando Luongo , Hernando Quevedo

In this paper we represent a different approach to the calculation of the perihelion shift than the one presented in common text books. We do not rely on the Schwarzschild metric and the Hamilton Jacobi technique to obtain our results.…

General Physics · Physics 2022-05-09 Asher Yahalom

Phenomenological aspects of radiation by relativistic electrons in external field, in matter or the vicinity of matter are reviewed, among which: infrared divergence, coherence length effects, shadowing, enhancement in aligned crystals,…

Accelerator Physics · Physics 2015-12-09 Xavier Artru
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