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Linearized general relativity admits a formulation in terms of gravitoelectric and gravitomagnetic fields that closely parallels the description of the electromagnetic field by Maxwell's equations. For steady mass currents, this formalism…

广义相对论与量子宇宙学 · 物理学 2010-07-01 John Swain

We develop a theoretical framework that allows us to compare electromagnetism and gravitation in a fully covariant way. This new scenario does not rely on any kind of approximation nor associate objects with different operational meaning as…

广义相对论与量子宇宙学 · 物理学 2012-08-29 E. Goulart , F. T. Falciano

We reexamine and further develop different gravito-electromagnetic (GEM) analogies found in the literature, and clarify the connection between them. Special emphasis is placed in two exact physical analogies: the analogy based on inertial…

广义相对论与量子宇宙学 · 物理学 2014-10-28 L. Filipe O. Costa , José Natário

The gravitomagnetic field is the force exerted by a moving body on the basis of the intriguing interplay between geometry and dynamics which is the analog to the magnetic field of a moving charged body in electromagnetism. The existence of…

广义相对论与量子宇宙学 · 物理学 2016-09-16 Behrooz Malekolkalami , Mehrdad Farhoudi

The similarities between linearized gravity and electromagnetism are known since the early days of General Relativity. Using an exact approach based on tidal tensors, we show that such analogy holds only on very special conditions and…

广义相对论与量子宇宙学 · 物理学 2010-01-07 L. Filipe O. Costa , Carlos A. R. Herdeiro

Gravitoelectromagnetic analogies are somewhat ubiquitous in General Relativity, and they are often used to explain peculiar effects of Einstein's theory of gravity in terms of familiar results from classical electromagnetism. Perhaps, the…

广义相对论与量子宇宙学 · 物理学 2023-11-20 Matteo Luca Ruggiero , Davide Astesiano

In the paper [4] is presented a theory which unifies the gravitation theory and the mechanical effects, which is different from the Riemannian theories like GTR. Moreover it is built in the style of the electomagnetic field theory. This…

微分几何 · 数学 2007-05-23 Kostadin Trencevski

The analogy between electromagnetism and gravitation was achieved by linearizing the tensorial gravitational equations of general relativity and converting them into a vector form corresponding to Maxwell's electromagnetic equations. On…

地球物理 · 物理学 2024-06-04 Jose' M. Carcione , Jing Ba

We first investigate the form the General Relativity Theory would have taken had the gravitational mass and the inertial mass of material objects been different. We then extend this analysis to electromagnetism and postulate an equivalence…

广义相对论与量子宇宙学 · 物理学 2020-01-09 Murat Özer

In the context of General Relativity, radiation, either gravitational or electromagnetic, is closely associated to vorticity of observers world lines. We stress in this letter that the factor that relates the two phenomena is a circular…

广义相对论与量子宇宙学 · 物理学 2013-12-24 L. Herrera

The generalization of electromagnetic and gravitational hopfions is performed in terms of a complex scalar field. New definition of topological charge for linearized gravity is given. Quasi-local (super-)energy densities are compared for…

广义相对论与量子宇宙学 · 物理学 2018-10-29 Tomasz Smołka , Jacek Jezierski

The assumption that matter charges and currents could generate fields, which are called, by analogy with electromagnetism, gravitoeletric and gravitomagnetic fields, dates from the origins of General Relativity (GR). On the other hand, the…

广义相对论与量子宇宙学 · 物理学 2010-05-07 E. P. Spaniol , V. C. de Andrade

Using the weak field approximation, we can express the theory of general relativity in a Maxwell-type structure comparable to electromagnetism. We find that every electromagnetic field is coupled to a gravitoelectric and gravitomagnetic…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Tajmar , C. de Matos

We give a conceptual exposition of aspects of gravitational radiation, especially in relation to energy. Our motive for doing so is that the strong analogies with electromagnetic radiation seem not to be widely enough appreciated. In…

物理学史与哲学 · 物理学 2023-03-27 Henrique Gomes , Carlo Rovelli

The paper discusses some scalar invariants in the gravitational field and electromagnetic field by means of the characteristics of the quaternions. When we emphasize some definitions of quaternion physical quantities, the speed of light,…

综合物理 · 物理学 2010-07-16 Zihua Weng

Beyond the Newtonian approximation, gravitational fields in general relativity can be described using a formalism known as gravitoelectromagnetism. In this formalism a vector potential, the gravitomagnetic potential, arises as a result of…

广义相对论与量子宇宙学 · 物理学 2021-09-02 Viktor T. Toth

From a previous paper where we proposed a description of general relativity within the gravito-electromagnetic limit, we propose an alternative modified gravitational theory. As in the former version, we analyze the vector and tensor…

广义相对论与量子宇宙学 · 物理学 2022-05-03 Sergio Giardino

A four-vector field in flat space-time, satisfying a gauge-invariant set of second-order differential equations, is considered as a unified field. The model variational principle corresponds to the general covariance idea and gives rise to…

高能物理 - 理论 · 物理学 2008-11-26 Alexander A. Chernitskii

We introduce in the framework of the linear approximation of General relativity a natural distinction between General gauge transformations generated by any vector field and those Special ones for which this vector field is a gradient. This…

广义相对论与量子宇宙学 · 物理学 2007-06-23 Ll. Bel

In this review paper we investigate the connection between gravity and electromagnetism from Faraday to the present day. The particular focus is on the connection between gravitational and electromagnetic radiation. We discuss…

广义相对论与量子宇宙学 · 物理学 2019-05-22 Preston Jones , Douglas Singleton
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