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In this paper the effects of vibrations at high frequencies onto a freely falling two-body system in Schwarzschild spacetime are investigated. As reference motion of the same system without vibrations a circular orbit around the central…

General Relativity and Quantum Cosmology · Physics 2010-12-02 L. Bergamin , P. Delva , A. Hees

We study the motion of light in the gravitational field of two Schwarzschild black holes, making the approximation that they are far apart, so that the motion of light rays in the neighborhood of one black hole can be considered to be the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Alessandro P. S. de Moura , Patricio S. Letelier

In order to clarify effects of the finite distance from a lens object to a light source and a receiver, the gravitational deflection of light has been recently reexamined by using the Gauss-Bonnet (GB) theorem in differential geometry…

General Relativity and Quantum Cosmology · Physics 2019-11-07 Toshiaki Ono , Hideki Asada

We analyze the gravitational radiation emitted from a particle in circular motion around a Schwarzschild black hole using the framework of quantum field theory in curved spacetime at tree level. The gravitational perturbations are written…

General Relativity and Quantum Cosmology · Physics 2017-04-03 Rafael P. Bernar , Luís C. B. Crispino , Atsushi Higuchi

We review the Inertial transformation and Lorentz transformation under a new context, by using Clifford Algebra or Geometric Algebra. The apparent contradiction between theses two approach is simply stems from different procedures for clock…

General Relativity and Quantum Cosmology · Physics 2013-11-26 R. de Oliveira , S. J. da Silva , V. H. G. de Campos

We investigate the deflection of photons in the strong deflection limit within static and axisymmetric spacetimes possessing reflection symmetry. As the impact parameter approaches its critical value, the deflection angle exhibits a…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Takahisa Igata

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 analyse strong gravitational field time delay for photons coupled to the Weyl tensor in a Schwarzschild black hole. By making use of the method of strong deflection limit, we find that these time delays between relativistic images are…

General Relativity and Quantum Cosmology · Physics 2016-07-05 Xu Lu , Feng-Wei Yang , Yi Xie

This research delves into the optical characteristics of stationary, spherically symmetric black holes. These black holes follow the Konoplya-Zhidenko deformation rule in arbitrary gravity theories. This research finds that the effects of…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Qiao Yue , Zhaoyi Xu , Meirong Tang

We investigate the influence of plasma presence on relativistic images formed by Schwarzschild black hole lensing. When a gravitating body is surrounded by a plasma, the lensing angle depends on a frequency of the electromagnetic wave due…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan

We examine the motion of a photon in the gravitational field of a binary system. The equations of motion are geodesic equations in a Schwarzchild background with a tidal force. We specialize the equations to that of an edge-on binary and…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Nahid Ahmadi , Zainab Sedaghatmanesh

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

Deflection of light due to massive objects was predicted by Einstein in his General Theory of Relativity. This deflection of light has been calculated by many researchers in past, for spherically symmetric objects. But, in reality, most of…

General Relativity and Quantum Cosmology · Physics 2023-03-07 Ranchhaigiri Brahma , A. K. Sen

We study the thermodynamics of a moving Schwarzschild black hole, identifying the temperature and entropy in a relativistic scenario. Furthermore, we set arguments in a framework relating invariant geometrical quantities under global…

General Relativity and Quantum Cosmology · Physics 2015-08-25 Cristian Barrera Hinojosa , Justo López-Sarrión

Schwarzschild black holes can produce strong gravitational lensing. The relativistic images are produced due to bending of light around the black hole. We propose a model equation to study the strong gravitational lensing. The model…

General Relativity and Quantum Cosmology · Physics 2012-08-17 Tushar Kanti Dey

We consider the bending of light around a compact astrophysical object with both the electric field and the magnetic field in Einstein-Born-Infeld theory. From the null geodesic of a light ray passing a massive object with electric charge…

General Relativity and Quantum Cosmology · Physics 2024-10-21 Jin Young Kim

The transverse spatial effects observed in photon pairs produced by parametric down-conversion provide a robust and fertile testing ground for studies of quantum mechanics, non-classical states of light, correlated imaging and quantum…

Quantum Physics · Physics 2015-05-20 S. P. Walborn , C. H. Monken , S. Pádua , P. H. Souto Ribeiro

The paraxial approximation of a classical spinning photon is shown to yield an "exotic particle" in the plane transverse to the propagation. The previously proposed and observed position shift between media with different refractive indices…

Optics · Physics 2015-06-04 C. Duval , P. A. Horvathy , P. M. Zhang

The gravitational redshift formula is usually derived in the geometric optics approximation. In this note we consider an exact formulation of the problem in the Schwarzschild space-time, with the intention to clarify under what conditions…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Edward Malec

As known from Einstein's theory of general relativity, the propagation of light in the presence of a massive object is affected by gravity. In this work, we discuss whether the effect of gravitational light bending can be observed in…

General Relativity and Quantum Cosmology · Physics 2020-07-13 Sebastian Ulbricht , Johannes Dickmann , Robert A. Müller , Stefanie Kroker , Andrey Surzhykov