On relativistic gravitation

Bedford, D.; Krumm, Peter

doi:10.1119/1.14358

Cited by 16 publications

(20 citation statements)

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“…We will show that the theory of gravitoelectromagnetism still has merit today. Like several other authors [5] (p. 889), [6] (p. 362), [7] (p. 422) we believe that it is worth to be addressed in teaching.…”

Section: Introductionsupporting

confidence: 78%

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Gravitoelectromagnetism: L’art Pour L’art—Or a Subject for the Classroom

Herrmann

Pohlig

2021

The 1st Electronic Conference on Universe

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At school and university, gravity is taught essentially in the Newtonian way. Newtonian mechanics originated at a time when there were no fields, when energy did not exist as a physical quantity, and when one still had to be satisfied with the concept of actions at a distance. A theory without such shortcomings, Maxwell's electromagnetism, came into being about 150 years later. It could have served as a model for a modern theory of gravitation. In fact, such a theory of gravitation, gravitoelectromagnetism, was proposed by Heaviside. However, it did not establish itself, because, firstly, many effects it describes are very, very small, secondly, it makes certain statements that seemed unacceptable to some researchers, and thirdly, shortly thereafter, General Relativity was born, which removed the old deficiencies and seemed to make a classical field theory of gravity superfluous. We argue that the subject of gravitoelectromagnetism is a legitimate one in teaching at school and university even now. On the one hand, general relativity is impractical for many applications because the mathematical effort is high, and on the other hand, the theory of gravitoelectromagnetism by no means describes only tiny effects. Rather, it solves a problem that is deliberately ignored in the traditional teaching of Newtonian mechanics: To which system do we assign the socalled potential energy? Where is the "potential" energy located? We also encounter some peculiarities of gravitoelectromagnetism which are caused by the fact that compressive and tensile stresses within the gravitational field are interchanged in comparison with the electromagnetic field.

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Section: Introductionsupporting

confidence: 78%

“…The total energy flow distribution is complicated. But what can be easily determined is the energy flow near the surface of the rod [5].…”

Section: Energy Exchange With the Gravitational Field Of The Earthmentioning

confidence: 99%

Gravitoelectromagnetism: L’art Pour L’art—Or a Subject for the Classroom

Herrmann

Pohlig

2021

The 1st Electronic Conference on Universe

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“…Benci and Fortunato [19] presented a mathematical argument (based on a variational principle) that shows some connection between gravity and electromagnetism as well. In the scope of special relativity, the existence of magnetic gravitational fields were discussed by Salisbury [20], Lorrain [21] and then Bedford [22] and Kolbenstvedt [23] (although these works discussed only particular cases and different results were obtained, so that no consensus was achieved regarding the exact formulae describing the gravitational magnetic field [24,25]). Other more recent considerations include the works of Behera and Naik [26], of Sattinger [27] and also that of Ummarino and Gallerati [28,29], where the influence of gravitomagnetic fields on superconductors were studied.…”

Section: The Magnetism Of Gravity -From Faraday To the Present Daysmentioning

confidence: 99%

Covariant theory of gravitation in the framework of special relativity

Vieira

Brentan

2018

Eur. Phys. J. Plus

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In this work, we study the magnetic effects of gravity in the framework of special relativity. Imposing covariance of the gravitational force with respect to the Lorentz transformations, we show from a thought experiment that a magnetic-like force must be present whenever two or more bodies are in motion. The exact expression for this gravitomagnetic force is then derived purely from special relativity and the consequences of such a covariant theory are developed. For instance, we show that the gravitomagnetic fields satisfy a system of differential equations similar to the Maxwell equations of electrodynamics. This implies that the gravitational waves spread out with the speed of light in a flat spacetime, which is in agreement with the recent results concerning the gravitational waves detection. We also propose that the vector potential can be associated with the interaction momentum in the same way as the scalar potential is usually associated with the interaction energy. Other topics are also discussed, for example, the transformation laws for the fields, the energy and momentum stored in the gravitomagnetic fields, the invariance of the gravitational mass and so on. We remark that is not our intention here to propose an alternative theory of gravitation but, rather, only a first approximation for the gravitational phenomena, so that it can be applied whenever the gravitational force can be regarded as an ordinary effective force field and special relativity can be used with safety. To make this point clear we present briefly a comparison between our approach and that based on the (linearized) Einstein's theory. Finally, we remark that although we have assumed nothing from the electromagnetic theory, we found that gravity and electricity share many properties in common -these similarities, in fact, are just a requirement of special relativity that must apply to any physically acceptable force field.

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“…Numerous NR reductions of GR for the same conditions have been recently appeared [11][12][13][14][15] confirming the soundness of such an approach.…”

Section: The Centrifugal Force From the Counter Rotating Universementioning

confidence: 66%

The Machian Origin of the Centrifugal Force

Barattini¹,

Christillin

2012

JMP

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A derivation of the centrifugal force from an effective vector formulation of gravitation is attempted. The centrifugal force appears to be due to a relativistic effect of the counter-rotating Universe. Gravitomagnetic energy effects, a million times stronger than the self-energy effects responsible for curvature in the GR language, would thus produce the centrifugal acceleration. The Machian picture, already successful in the case of the Coriolis force, gets an additional circumstantial support.

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On relativistic gravitation

Abstract: The existence of a gravitational analog of the magnetic field is demonstrated very easily by considering a special case.

Cited by 16 publications

References 0 publications

Gravitoelectromagnetism: L’art Pour L’art—Or a Subject for the Classroom

Gravitoelectromagnetism: L’art Pour L’art—Or a Subject for the Classroom

Covariant theory of gravitation in the framework of special relativity

The Machian Origin of the Centrifugal Force

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