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Although the equation of motion developed in the paper (Ashby 2018 Metrologia 55 1) depends on the parameters of the falling cube, such as depth and refraction index, the parameters are only associated with powers of time no greater than…

Instrumentation and Detectors · Physics 2018-02-16 V D Nagornyi

We investigate the point-particle limit of the equations of motion valid for a system of extended bodies in a scalar alternative theory of gravitation: the size of one of the bodies being a small parameter xi, we calculate the limit, as xi…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

Light propagation in optical waveguides with periodically modulated index of refraction and alternating gain and loss are investigated for linear and nonlinear systems. Based on a multiscale perturbation analysis, it is shown that for many…

Optics · Physics 2015-06-23 Sean Nixon , Jianke Yang

The geometry of a light wavefront, evolving from a initial flat wavefront in the 3-space associated with a post-Newtonian relativistic spacetime, is studied numerically by means of the ray tracing method. For a discretization of the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 A. San Miguel , F. Vicente , J. -F. Pascual-Sanchez

Future space astrometry missions are planned to measure positions and/or parallaxes of celestial objects with an accuracy of the order of the microarcsecond. At such a level of accuracy, it will be indispensable to take into account the…

Astrophysics · Physics 2014-11-18 Christophe Le Poncin-Lafitte , Pierre Teyssandier

We investigate light propagation in self-gravitating systems composed of an axially symmetric, stationary, rotating dust fluid. These configurations are intrinsically relativistic, sustained entirely by their rotation, since no compact or…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Matteo Luca Ruggiero , Davide Astesiano

Classical Doppler Effect of light propagation can be calculated by making any one of the two assumptions a) Light propagates at the speed c with respect to the source or b) Light propagates at the speed c with respect to the receptor. We…

General Physics · Physics 2022-10-31 Chandru Iyer , G. M. Prabhu

The dynamics of several light filaments (spatial optical solitons) propagating in an optically nonlinear and non-local random medium is investigated using the paradigms of the physics of complexity. Cluster formation is interpreted as a…

Optics · Physics 2007-05-23 Claudio Conti

We derive the gravitational field and equations of motion of compact binary systems up to the 5/2 post-Newtonian approximation of general relativity (where radiation-reaction effects first appear). The approximate post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luc Blanchet , Guillaume Faye , Bénédicte Ponsot

A new derivation of the propagation direction of light is given for a 3-parameter family of static, spherically symmetric space-times within the post-post-Newtonian framework. The emitter and the observer are both located at a finite…

General Relativity and Quantum Cosmology · Physics 2011-10-10 Pierre Teyssandier

A scalar bimetric theory of gravity with a preferred reference frame is summarized. Dynamics is governed by an extension of Newton's second law. In the static case, geodesic motion is recovered together with Newton's attraction field. In…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mayeul Arminjon

We argue that the time measured by a light clock operating with photons rather than classical light requires a refinement of the standard clock postulate in general relativity. In the presence of a gravitational field, already the one-loop…

General Relativity and Quantum Cosmology · Physics 2009-02-12 Raffaele Punzi , Frederic P. Schuller , Mattias N. R. Wohlfarth

The total light deflection represents a concept, which allows one to decide which multipoles need to be implemented in the light trajectory for a given astrometric accuracy. The fundamental quantity of total light deflection is the tangent…

General Relativity and Quantum Cosmology · Physics 2023-11-02 Sven Zschocke

The Lorentz covariant theory of precise Doppler measurements (PDM) based on the retarded Li\'{e}nard-Wiechert solution of the Einstein equations is described. An exact solution of equations of light propagation in the field of arbitrary…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

We investigate the propagation of light through a plasma on a background Kerr spacetime via a Hamiltonian formulation. The behaviour of light when propagating through a vacuum and through a plasma is not the same; the convolution of…

High Energy Astrophysical Phenomena · Physics 2019-02-06 Tom Kimpson , Kinwah Wu , Silvia Zane

A moving dielectric appears to light as an effective gravitational field. At low flow velocities the dielectric acts on light in the same way as a magnetic field acts on a charged matter wave. We develop in detail the geometrical optics of…

Optics · Physics 2009-10-31 U. Leonhardt , P. Piwnicki

We consider a nonlinear dielectric medium surrounding a static, charged and spherically symmetric compact body which gravitational field is driven by General Relativity (GR). Considering the propagating waves on the dielectric medium, we…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Amanda Guerrieri , Mario Novello

In this work, we theoretically investigate the deflection of light for strong- and weak-field regimes in the background of an electrically charged BH described in Kalb-Ramond gravity, which introduces the Lorentz symmetry violation…

General Relativity and Quantum Cosmology · Physics 2026-02-27 C. F. S. Pereira , Marcos V. de S. Silva , A. R. Soares , A. A. Araújo Filho , R. L. L. Vitória , H. Belich

Recent measurements of the propagation of the quasar's radio signal past Jupiter are directly sensitive to the time-dependent effect from the geometric sector of general relativity which is proportional to the speed of propagation of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

A corollary of general relativity that the average velocity of light between two points in a gravitational field is anisotropic has been overlooked. It is shown that this anisotropy can be probed by an experiment which constitutes another…

General Relativity and Quantum Cosmology · Physics 2011-11-18 Vesselin Petkov
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