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Studies about a formal analogy between the gravitational and the electromagnetic fields lead to the notion of Gravitoelectromagnetism (GEM) to describe gravitation. In fact, the GEM equations correspond to the weak field approximation of…

High Energy Physics - Theory · Physics 2020-03-19 A. F. Santos , J. Ramos , Faqir C. Khanna

This work is focused on the theory of Gravitoelectromagnetism (GEM). In the first part of this work we present a brief review of gravitoelectromagnetism, we locate and discuss all the problems which appear in this approach. We also try to…

General Relativity and Quantum Cosmology · Physics 2016-10-27 Athanasios Bakopoulos

The paper contains a discussion of the properties of the gravito-magnetic interaction in non stationary conditions. A direct deduction of the equivalent of Faraday-Henry law is given. A comparison is made between the gravito-magnetic and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Angelo Tartaglia , Matteo Luca Ruggiero

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…

General Relativity and Quantum Cosmology · Physics 2023-11-20 Matteo Luca Ruggiero , Davide Astesiano

The Lagrangian formulation of Gravitoelectromagnetism (GEM) theory is considered. GEM is a gravitational theory constructed based on the similarities between gravity and electromagnetism. In this framework, we investigate gravitational…

General Relativity and Quantum Cosmology · Physics 2025-02-20 L. A. S. Evangelista , A. F. Santos

The main theoretical aspects of gravitoelectromagnetism ("GEM") are presented. Two basic approaches to this subject are described and the role of the gravitational Larmor theorem is emphasized. Some of the consequences of GEM are briefly…

General Relativity and Quantum Cosmology · Physics 2008-04-17 Bahram Mashhoon

One obtains a Maxwell-like structure of gravitation by applying the weak-field approximation to the well accepted theory of general relativity or by extending Newton's laws to time-dependent systems. This splits gravity in two parts, namely…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Tajmar , C. J. de Matos

The effect of induced Riemann geometry in nonlinear electrodynamics is considered. The possibility for description of real gravitation by this effect is discussed.

General Relativity and Quantum Cosmology · Physics 2011-07-19 Alexander A. Chernitskii

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…

General Relativity and Quantum Cosmology · Physics 2014-10-28 L. Filipe O. Costa , José Natário

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…

General Relativity and Quantum Cosmology · Physics 2010-07-01 John Swain

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…

General Relativity and Quantum Cosmology · Physics 2016-09-16 Behrooz Malekolkalami , Mehrdad Farhoudi

Gravito-electromagnetism is somewhat ubiquitous in relativity. In fact, there are many situations where the effects of gravitation can be described by formally introducing "gravito-electric" and "gravito-magnetic" fields, starting from the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Matteo Luca Ruggiero

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…

General Relativity and Quantum Cosmology · Physics 2012-08-29 E. Goulart , F. T. Falciano

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…

General Relativity and Quantum Cosmology · Physics 2010-01-07 L. Filipe O. Costa , Carlos A. R. Herdeiro

We briefly review the current status of nonlocal gravity (NLG), which is a classical nonlocal generalization of Einstein's theory of gravitation based on a certain analogy with the nonlocal electrodynamics of media. Nonlocal gravity thus…

General Relativity and Quantum Cosmology · Physics 2020-01-20 Bahram Mashhoon , Friedrich W. Hehl

We study the motion of test particles in the metric of a localized and slowly rotating astronomical source, within the framework of linear gravitoelectromagnetism, grounded on a Post-Minkowskian approximation of general relativity. Special…

General Relativity and Quantum Cosmology · Physics 2015-10-14 Donato Bini , Lorenzo Iorio , Domenico Giordano

In the first part of the present work, we focus on the theory of gravitoelectromagnetism (GEM), and we derive the full set of equations and constraints that the GEM scalar and vector potentials ought to satisfy. We discuss important aspects…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Athanasios Bakopoulos , Panagiota Kanti

Gravitation might make a preferred frame appear, and with it a clear space/time separation--the latter being, a priori, needed by quantum mechanics (QM) in curved space-time. Several models of gravitation with an ether are discussed: they…

General Relativity and Quantum Cosmology · Physics 2008-04-07 Mayeul Arminjon

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:…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Matteo Luca Ruggiero

The numerous ways of introducing spatial gravitational forces are fit together in a single framework enabling their interrelationships to be clarified. This framework is then used to treat the ``acceleration equals force" equation and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Robert T. Jantzen , Paolo Carini , Donato Bini
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