Gravitomagnetic Stern–Gerlach Force

Mashhoon, Bahram

doi:10.3390/e23040445

Cited by 12 publications

(13 citation statements)

References 81 publications

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“…Mashhoon [75] investigated the Stern-Gerlach force in a gravitomagnetic framework, in connection with spin-gravity coupling, and showed that it reduces to Mathisson's spin-curvature force. The dynamics of spinning particles in spacetime and the analogies with electromagnetism were investigated by Costa et al [76], and the case of the spacetime of a gravitational wave was considered by Bini et al [77].…”

Section: Other Theoretical Developmentsmentioning

confidence: 99%

A tale of analogies: a review on gravitomagnetic effects, rotating sources, observers and all that

Ruggiero,

Astesiano

2023

J. Phys. Commun.

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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 best known of these analogy pertains to the similarity between the equations of electromagnetism and those of the linearized theory of General Relativity. But the analogy is somewhat deeper and ultimately rooted in the splitting of spacetime, which is preliminary to the definition of the measurement process in General Relativity.In this paper we review the various approaches that lead to the introduction of a magnetic-like part of the gravitational interaction, briefly called \textit{gravitomagnetic} and, then, we provide a survey of the recent developments both from the theoretical and experimental viewpoints.

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Section: Other Theoretical Developmentsmentioning

confidence: 99%

A tale of analogies: a review on gravitomagnetic effects, rotating sources, observers and all that

Ruggiero,

Astesiano

2023

J. Phys. Commun.

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“…after scattering, where ω is the photon frequency and D is the distance from the photon to the body at the moment of their minimal separation. As the gravitomagnetic field depends upon position, there exists a gravitomagnetic Stern-Gerlach force −∇ðΩ s :NÞ on a spinning particle with "intrinsic" spin vector N. This force naturally leads to a differential deflection of the polarized beams [41].…”

Section: B Angular Separation (θ) Of the Right And Left Circularly Po...mentioning

confidence: 99%

Gravitational analog of Faraday rotation in the magnetized Kerr and Reissner-Nordström spacetimes

Chakraborty

2022

Phys. Rev. D

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It is known that the gravitational analog of the Faraday rotation arises in the rotating spacetime due to the nonzero gravitomagnetic field. In this paper, we show that it also arises in the "nonrotating" Reissner-Nordström spacetime, if it is immersed in a uniform magnetic field. The nonzero angular momentum (due to the presence of electric charge and magnetic field) of the electromagnetic field acts as the twist potential to raise the gravitational Faraday rotation as well as the gravitational Stern-Gerlach effect in the said spacetimes. The twisting can still exist even if the mass of the spacetime vanishes. In other words, the massless charged particle(s) immersed in a uniform magnetic field are able to twist the spacetime in principle, and are responsible for the rotation of the plane of polarization of light. This, in fact, could have applications in the basic physics and the analog models of gravity. Here, we also study the effect of magnetic fields in the Kerr and Reissner-Nordström spacetimes, and we derive the exact expressions for the gravitational Faraday rotation and the gravitational Stern-Gerlach effect in the magnetized Kerr and Reissner-Nordström spacetimes. Calculating the lowest order of the gravitational Faraday effect arisen due to the presence of a magnetic field, we show that the logarithm correction of the distance of the source and observer in the gravitational Faraday rotation and gravitational Stern-Gerlach effect for the said spacetimes is an important consequence of the presence of the magnetic field. From the astrophysical point of view, our result could be helpful to study the effects of (gravito)magnetic fields on the propagation of polarized photons in the strong gravity regime of the collapsed object.

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“…The GEM approach has been useful for experimental gravitation [17,27,34] and the method has been applied to a variety of situations [35][36][37]. Henceforth, we will denote the gravitoelectric and gravitomagnetic fields by E g and B g to distinguish them from the corresponding electromagnetic fields.…”

Section: Gravitomagnetic Fieldmentioning

confidence: 99%

“…where I is the 2 × 2 unit matrix and σ = (σ x , σ y , σ z ) are the standard Pauli matrices. In cylindrical coordinates (37), we find…”

Section: Appendix A: Fermion In Gravitomagnetic Fieldmentioning

confidence: 99%

Gravitomagnetic Helicity

Bini,

Mashhoon,

Obukhov

2021

Preprint

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Mass currents in astrophysics generate gravitomagnetic fields of enormous complexity. Gravitomagnetic helicity, in direct analogy with magnetic helicity, is a measure of entwining of the gravitomagnetic field lines. We discuss gravitomagnetic helicity within the gravitoelectromagnetic (GEM) framework of linearized general relativity. Furthermore, we employ the spacetime curvature approach to GEM in order to determine the gravitomagnetic helicity for static observers in Kerr spacetime.

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Gravitomagnetic Stern–Gerlach Force

Cited by 12 publications

References 81 publications

A tale of analogies: a review on gravitomagnetic effects, rotating sources, observers and all that

A tale of analogies: a review on gravitomagnetic effects, rotating sources, observers and all that

Gravitational analog of Faraday rotation in the magnetized Kerr and Reissner-Nordström spacetimes

Gravitomagnetic Helicity

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