Gravitomagnetic field of rotating rings

Ruggiero, Matteo Luca

doi:10.1007/s10509-016-2723-2

Cited by 13 publications

(11 citation statements)

References 52 publications

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“…These relationships were observed and reported during the second half of the nineteenth century, and we recommend [1,2] for historical review and references. Various approaches to GEM have recently been proposed, and we quote a non-exhaustive list of papers concerning, by way of example, gravitomagnetic effects [3][4][5][6], the relation of GEM to special relativity [2,7], tidal tensors [8,9], weak-field approximation [10][11][12], the Lorentz violation [13,14], teleparallel gravity [15,16], the Mashhoon-Theiss effect [17], quantum gravity [18,19], gravitational waves [20,21], the relation of GEM to electro-dynamics in curved spacetime [22,23], gravitational field of astrophysical objects [24,25], the Sagnac effect [26,27], torsion gravity [28], the Schrödinger-Newton equation [29], non-commutative geometry [30], spin-gravity coupling [31], gravity and thermodynamics [32], the Casimir effect [33], gauge transformations [34] and, quantum field gravity [35,36]. It is commonly known that GEM is a source of new ideas and a guide for research into new physics.…”

Section: Gravito-electromagnetic Analogymentioning

confidence: 99%

A Novel Covariant Approach to Gravito-Electromagnetism

Giardino

2020

Braz J Phys

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Section: Gravito-electromagnetic Analogymentioning

confidence: 99%

A Novel Covariant Approach to Gravito-Electromagnetism

Giardino

2020

Braz J Phys

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“…It turns out, that the equations (40) to (43) are known in the scientific literature as the gravitomagnetic equations [35,19,56,87]. They are similar to the Maxwell's equations:…”

Section: Gravitomagnetic Equationsmentioning

confidence: 99%

“…The equations of the gravitomagnetic fields are widely represented in the literature beginning from the earlier publication of Heaviside [35] up to nowadays [20,56,23,87,101,106,10,9,18,89].…”

Section: Gravitomagnetic Equationsmentioning

confidence: 99%

Quaternion Algebra on 4D Superfluid Quantum Space-Time: Gravitomagnetism

Sbitnev

2019

Found Phys

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Gravitomagnetic equations result from applying quaternionic differential operators to the energy-momentum tensor. These equations are similar to the Maxwell's EM equations. Both sets of the equations are isomorphic after changing orientation of either the gravitomagnetic orbital force or the magnetic induction. The gravitomagnetic equations turn out to be parent equations generating the following set of equations: (a) the vorticity equation giving solutions of vortices with nonzero vortex cores and with infinite lifetime; (b) the Hamilton-Jacobi equation loaded by the quantum potential. This equation in pair with the continuity equation leads to getting the Schrödinger equation describing a state of the superfluid quantum medium (a modern version of the old ether); (c) gravitomagnetic wave equations loaded by forces acting on the outer space. These waves obey to the Planck's law of radiation.Keywords superfluid quantum vacuum · gravitomagnetic · electromagnetism · wave function · vorticity · vortex · cosmic microwave radiation 1 Introduction Roger Penrose in his earlier works [65,66] has proposed the formalism of twistor algebra where four parameters of the space-time, t, x, y, z, by amazing manner find accordance with spinor group SU(2). Twistor theory was originally proposed as a new geometric framework for physics that aims to unify general relativity and quantum mechanics [6]. An unexpected interconnection between

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“…B φ = 0ê φ (13) whereê rêθ andê φ are unit vectors. μ is the Sun diple moment and r is position vector from the Sun to the Planet.…”

Section: Sun Gravitomagnetic Fieldmentioning

confidence: 99%

Gravitomagnetic approach for Mercury perihelion advance

Rocha¹,

Malheiro²,

Marinho³

2017

The Fourteenth Marcel Grossmann Meeting

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The gravitomagnetism (GM) is a phenomenon consisting of the gravitational interaction caused by rotating mass movement, in the same way that the magnetic effects are generated from the electric charge movement. The equation of GM where obtened by Lense and Thirring when studied solutions of Einstein field equations using the weak field and slow motion approximation of rotating systems.Some authors affirm that the GM can cause precession of planets orbit, then in this paper we calculate the precession that gravitomagnetic effect cause on the solar system planets. We considerate a sphere spinning and we calculate the field between dipoles to measure the influence that the Sun has on Mercury, taking into account the Sun gravitomagnetic field produced when rotate around itself. We found that the Sun gravitomagnetic effect on Mercury is too smal and cannot explain the perihelion advance.

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Gravitomagnetic field of rotating rings

Cited by 13 publications

References 52 publications

A Novel Covariant Approach to Gravito-Electromagnetism

A Novel Covariant Approach to Gravito-Electromagnetism

Quaternion Algebra on 4D Superfluid Quantum Space-Time: Gravitomagnetism

Gravitomagnetic approach for Mercury perihelion advance

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