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In this investigation the boundary value problem of light propagation in the gravitational field of one arbitrarily moving body with monopole structure is considered in the second post-Newtonian approximation. The solution of the boundary…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Sven Zschocke

The light trajectory in the gravitational field of one body at rest with monopole and quadrupole structure is determined in the second post-Newtonian (2PN) approximation. The terms in the geodesic equation for light rays are separated into…

General Relativity and Quantum Cosmology · Physics 2022-01-26 Sven Zschocke

An analytical solution for the light trajectory in the near-zone of the gravitational field of one pointlike body in arbitrary slow-motion in the post-post-Newtonian approximation is presented in harmonic gauge. Expressions for total light…

General Relativity and Quantum Cosmology · Physics 2017-09-19 Sven Zschocke

In a recent investigation, the initial value problem of light propagation in the gravitational field of a body at rest with monopole and quadrupole structure has been determined in the second post-Newtonian (2PN) approximation. In reality,…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Sven Zschocke

The light-trajectory in the gravitational field of N extended bodies in arbitrary motion is determined in the first post-Newtonian approximation. According to the theory of reference systems, the gravitational fields of these massive bodies…

Instrumentation and Methods for Astrophysics · Physics 2017-07-25 Sven Zschocke

High-precision astrometry on sub-micro-arcsecond level in angular resolution requires accurate determination of the trajectory of a light-signal from the celestial light source through the gravitational field of the Solar system toward the…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Sven Zschocke

Todays astrometry has reached the micro-arcsecond level in angular measurements of celestial objects. The next generations of astrometric facilities are aiming at the sub-micro-arcsecond scale. Sub-micro-arcsecond astrometry requires a…

General Relativity and Quantum Cosmology · Physics 2025-10-07 Sven Zschocke

We show how to derive the equations of light propagation in the gravitational field of uniformly moving mass monopoles without formulating and integrating the differential equations of light propagation in that field. The well-known…

Astrophysics · Physics 2011-05-23 Sergei A. Klioner

Given the high-precision modern space mission, a precise relativistic modeling of observations is required. By solving the eikonal equation with the post-Newtonian approximation, the light propagation is determined by the iterative method…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Cheng-Gang Qin , Yu-Jie Tan , Ya-Fen Chen , Cheng-Gang Shao

The Lorentz covariant theory of propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving point-like bodies with constant masses is constructed. The theory is based on the Lienard-Wiechert…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer

One of the most subtle points in the modern relativistic models for microarcsecond astrometrical observations is the treatment of the influence of translational motion of gravitating bodies on the light propagation. This paper describes…

Astrophysics · Physics 2011-05-23 Sergei A. Klioner , Michael Peip

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

In this paper, we use the metric coefficients and the equation of motion in the 2nd post-Newtonian approximation in scalar-tensor theory including intermediate range gravity to derive the deflection of light and compare it with previous…

Astrophysics · Physics 2009-11-13 Peng Dong , Wei-Tou Ni

The extremely high precision of current astronomical observations demands a much better theoretical treatment of relativistic effects in the propagation of electromagnetic signals through variable gravitational fields of isolated…

General Relativity and Quantum Cosmology · Physics 2014-08-19 Sergei Kopeikin , Pavel Korobkov

The paper gives an introduction to the gravitational radiation theory of isolated sources and to the propagation properties of light rays in radiative gravitational fields. It presents a theoretical study of the generation, propagation,…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Luc Blanchet , Sergei Kopeikin , Gerhard Schäfer

Analyzing two simple experimental situations we show that from Newton's law of gravitation and Special Relativity it follows that the motion of particle in an external gravitational field can be described in terms of effective spatial…

General Relativity and Quantum Cosmology · Physics 2008-11-26 W. D. Flanders , G. S. Japaridze

Extremely high precision of near-future radio/optical interferometric observatories like SKA, Gaia, SIM and the unparalleled sensitivity of LIGO/LISA gravitational-wave detectors demands more deep theoretical treatment of relativistic…

General Relativity and Quantum Cosmology · Physics 2014-08-19 Sergei Kopeikin , Pavel Korobkov , Alexander Polnarev

We reformulate the transport equation which determines the size, shape and orientation of infinitesimal light beams in arbitrary spacetimes. The behaviour of such light beams near vertices and conjugate points is investigated, with special…

Astrophysics · Physics 2010-04-06 Stella Seitz , Peter Schneider , Juergen Ehlers

Light propagation is viewed as a process involving mutual creation of electric and magnetic fields. This viewpoint is used to argue that the conventional retarded solutions to electromagnetic wave equations (whose source is a current…

Classical Physics · Physics 2022-01-11 Wei Guo

The light propagation in plasma medium around stationary gravitating objects is studied in the geometrical optics limit. Static metrics with quadrupole moments are considered, however, the main attention is paid to the stationary…

General Relativity and Quantum Cosmology · Physics 2023-10-30 Barbora Bezdekova , Jiri Bicak
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