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Given the extreme accuracy of modern space science, a precise relativistic modeling of observations is required. In particular, it is important to describe properly light propagation through the Solar System. For two decades, several…

General Relativity and Quantum Cosmology · Physics 2014-03-21 A. Hees , S. Bertone , C. Le Poncin-Lafitte

We develop here a new approach for the relativistic modeling of the photons moving into a quasi-Minkowskian space-time, where the metric is generated by an arbitrary n-body distribution within an isolated Solar System. Our model is built on…

Astrophysics · Physics 2009-11-10 F. de Felice , M. T. Crosta , A. Vecchiato , M. G. Lattanzi , B. Bucciarelli

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

We investigate the general relativistic phase of an electromagnetic wave as it propagates in the gravitational field of the Earth, which is modeled as an isolated, weakly aspherical gravitating body. We introduce coordinate systems to…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Slava G. Turyshev , Viktor T. Toth

Given the extreme accuracy of modern space science, a precise relativistic modeling of observations is required. We use the Time Transfer Functions formalism to study light propagation in the field of uniformly moving axisymmetric bodies,…

General Relativity and Quantum Cosmology · Physics 2014-10-15 A. Hees , S. Bertone , C. Le Poncin-Lafitte

We attempt to calculate the gravitational time delay in a time-dependent gravitational field, especially in McVittie spacetime, which can be considered as the spacetime around a gravitating body such as the Sun, embedded in the FLRW…

General Relativity and Quantum Cosmology · Physics 2012-02-07 Hideyoshi Arakida

In this research note we introduce a new approximation of photon geodesics in Schwarzschild spacetime which is especially useful to describe highly bent trajectories, for which the angle between the initial emission position and the line of…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Riccardo La Placa , Pavel Bakala , Luigi Stella , Maurizio Falanga

Interactions between charged particles and light occur in real space and time, yet quantum field theory usually describes them in momentum space. Whereas this approach is well suited for calculating emission probabilities and cross…

The classical phenomenon of the redshift of light in a static gravitational potential, usually called the gravitational redshift, is described in the literature essentially in two ways: on the one hand the phenomenon is explained through…

Physics Education · Physics 2008-11-26 L. B. Okun , K. G. Selivanov , V. L. Telegdi

In this paper, the variation of a signal in Schwarzschild spacetime is studied and a general equation for frequency shift parameter (FSP) is presented. It shows that FSP depends on the gravitationally-modified Doppler effects and the…

Signal Processing · Electrical Eng. & Systems 2019-03-18 Huan Liu , Xiang-Gen Xia , Ran Tao

After some introductory discussion of the definition of Finsler spacetimes and their symmetries, we consider a class of spherically symmetric and static Finsler spacetimes which are small perturbations of the Schwarzschild spacetime. The…

General Relativity and Quantum Cosmology · Physics 2015-08-24 Claus Laemmerzahl , Volker Perlick , Wolfgang Hasse

Time delay in Schwarzschild spacetime for null and timelike signals with arbitrary velocity $v$ is studied. The total travel time $t_\mathrm{if}$ is evaluated both exactly and approximately in the weak field limit, with the result given as…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Junji Jia , Haotian Liu

Context: Occultation experiments represent unique opportunities for probing remotely physical properties of atmospheres. The data processing requires one to properly account for refractivity while modeling the time/frequency transfers of an…

General Relativity and Quantum Cosmology · Physics 2021-04-14 A. Bourgoin , M. Zannoni , L. Gomez Casajus , P. Tortora , P. Teyssandier

We develop a perturbation theory for surfaces confining photons and massive particles in static spherically symmetric spacetimes in terms of two parameters: the mass-to-energy ratio and the deviation of metric functions from a given form,…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Kirill Kobialko , Dmitri Gal'tsov

We reexamined the gravitational time delay of light, allowing for various models of modified gravity. We clarify the dependence of the time delay (and induced frequency shift) on modified gravity models and investigate how to distinguish…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideki Asada

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

The Schwarzschild metric giving the space time due to a spherically symmetric object is derived in the background of the Robertson Walker metric. In other words the two metrics are merged. It is found that under certain conditions the…

General Physics · Physics 2008-12-22 Bethmini Senevirathne , Nalin de Silva

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

Context:Very precise planned space astrometric missions and recent improvements on imaging capabilities require a detailed review of the assumptions of classical astrometric modeling. Aims:We show that Light-Travel Time must be taken into…

Astrophysics · Physics 2007-05-23 Guillem Anglada , Jordi Torra

The periapsis shift of charged test particles in arbitrary static and spherically symmetric charged spacetimes are studied. Two perturbative methods, the near-circular approximation and post-Newtonian methods, are developed, and shown to be…

General Relativity and Quantum Cosmology · Physics 2023-12-27 Qianchuan Wang , Junji Jia