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The transformation of space-time $x_{\mu}$ and ${x_{\mu}}^{\prime}$ in the two inertial reference frames $\sum$ and ${\sum}^{\prime}$ in which their relative velocity is less than light speed, and the relation of a particle mass $m$ with…

高能物理 - 唯象学 · 物理学 2016-09-06 X. Y. Wu , Xin-guo Yin , Yi-Qing Guo , Xin-Song Wang

The Einstein field equations in linear post-Newtonian approximation can be written in analogy with electromagnetism, in the so-called gravito-electromagnetic formalism. We use this analogy to study the gravitational field of a massive ring:…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Matteo Luca Ruggiero

In accordance with an old suggestion of Asher Peres (1962), we consider the electromagnetic field as fundamental and the metric as a subsidiary field. In following up this thought, we formulate Maxwell's theory in a diffeomorphism invariant…

经典物理 · 物理学 2009-11-10 Friedrich W. Hehl , Yuri N. Obukhov

We continue our study of the optical properties of the solar gravitational lens (SGL). Taking the next step beyond representing it as an idealized monopole, we now characterize the gravitational field of the Sun using an infinite series of…

广义相对论与量子宇宙学 · 物理学 2021-03-30 Slava G. Turyshev , Viktor T. Toth

This work concerns the loss of energy of a material system due to gravitational radiation in Einstein-aether theory-an alternative theory of gravity in which the metric couples to a dynamical, timelike, unit-norm vector field. Derived to…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Brendan Z. Foster

The linearized Einstein field equations with the renormalized stress tensor of a massless quantum scalar field as source are solved in the 4-dimensional spacetime near an infinite plane boundary. The motion of particles and light is…

高能物理 - 理论 · 物理学 2013-04-24 V. A. De Lorenci , L. G. Gomes , E. S. Moreira

We show that the acceleration-difference of neighboring free-falling particles (= geodesic deviation) measured in the local reference frame of a GR-noninertial observer is not given by the Riemann tensor. With the gravito-electric field of…

广义相对论与量子宇宙学 · 物理学 2023-04-18 Christoph Schmid

Simple exact solutions presented here describe the universes which spatial geometries are asymptotically homogeneous and isotropic near the initial singularity, but which evolution goes under the influence of primordial magnetic fields. In…

宇宙学与河外天体物理 · 物理学 2013-12-19 G. A. Alekseev

Starting from the experimental fact that a moving charge experiences the Lorentz force and applying the fundamental principles of simplicity (first order derivatives only) and linearity (superposition principle), we show that the structure…

经典物理 · 物理学 2016-05-27 Gerhard Diener , Jürgen Weissbarth , Frank Grossmann , Rüdiger Schmidt

A thoughtless treatment of Maxwell's equations can lead to the interpretation of the existence of a causal relationship between their different terms and, therefore, that an electric field that varies in time generates a magnetic one and…

物理教育 · 物理学 2025-01-14 Alvaro Suarez , Arturo C. Marti , Kristina Zuza , Jenaro Guisasola

A Gravitoelectromagnetism formalism in the context of metric f(R) theory is presented and the analogue Lorentz force law is derived. Some interesting results such as the dependence of the deviation from General Relativity on the absolute…

广义相对论与量子宇宙学 · 物理学 2019-08-28 Abhinandan Dass , Stefano Liberati

We show explicitly that the Hertz-form Maxwell's equations and their extensions can be obtained from the non-relativistic expansion of Lorentz transformation of Maxwell's equations. The explicit expression for the parameter $\alpha$ in the…

经典物理 · 物理学 2022-03-28 Fei Wang , Jin Min Yang

Keeping the two fundamental postulates of the special theory of relativity, the principle of relativity and the constancy of the one-way velocity of light in all inertial frames of reference, and assuming two generalized Finslerian…

高能物理 - 理论 · 物理学 2007-05-23 Jian-Miin Liu

A consistent approach for an exhaustive solution of the problem of propagation of light rays in the field of gravitational waves emitted by a localized source of gravitational radiation is developed in the first post-Minkowskian and…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer , Carl R. Gwinn , T. Marshall Eubanks

Within the standard effective field theory of General Relativity, we show that the speed of gravitational waves deviates, ever so slightly, from luminality on cosmological and other spontaneously Lorentz-breaking backgrounds. This effect…

高能物理 - 理论 · 物理学 2020-03-25 Claudia de Rham , Andrew J. Tolley

In this work, we derived formulae concerning the electric and magnetic field characteristics of a focused radially polarized Gaussian vector beam. Such a beam is consistent with Maxwell's equations contrary to plane waves having uniform…

光学 · 物理学 2024-06-04 László Pálfalvi , Zerihun Tadele Godana , János Hebling

The Einstein equations for static gravitational field depend on energy density and pressure. So one may expect that solutions should depend on two parameters: mass and its analogue originated from pressure. Yet the Schwarzschild solution…

广义相对论与量子宇宙学 · 物理学 2009-12-31 A. I. Nikishov

In this paper we considered divergence of electric and of magnetic fields for four cases: classical point charge, classical continuous charge, relativistic point and relativistic continuous charges. Results for classical and relativistic…

经典物理 · 物理学 2016-08-10 Altay Zhakatayev

The importance of general relativity to the induced electric field exterior to pulsars has been investigated by assuming aligned vacuum and non-vacuum magnetosphere models. For this purpose the stationary and axisymmetric vector potential…

广义相对论与量子宇宙学 · 物理学 2016-08-31 S. SENGUPTA

There have been many experimental investigations into the ability of electric fields to enhance combustion by acting upon ion species present in flames [1]. In this work, we examine this phenomenon using a one-dimensional model of a lean…

流体动力学 · 物理学 2022-02-09 Mario Sanchez Sanz , Daniel C. Murphy , C. Fernandez Pello