On the motion of spinning test particles in plane gravitational waves

Mohseni, Morteza; Tucker, Robin; Wang, Charles

doi:10.1088/0264-9381/18/15/314

Cited by 26 publications

(42 citation statements)

References 19 publications

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“…Besides a formal analysis of the MPD equations [7][8][9], there are particular studies on spinning particle dynamics in a Kerr background [10][11][12][13], scattering interactions with gravitational waves [14,15], and other applications. In particular, the MPD equations lend themselves well to numerical analysis with applications involving gravitational wave generation in a Kerr background [16,17], evidence of deterministic chaos within particle orbital dynamics [18][19][20][21], and particle motion in a Vaidya background with radially infalling radiation [22].…”

mentioning

confidence: 99%

An analytic perturbation approach for classical spinning particle dynamics

Singh

2008

Gen Relativ Gravit

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A perturbation method to analytically describe the dynamics of a classical spinning particle, based on the Mathisson-Papapetrou-Dixon (MPD) equations of motion, is presented. By a power series expansion with respect to the particle's spin magnitude, it is shown how to obtain in general form an analytic representation of the particle's kinematic and dynamical degrees of freedom that is formally applicable to infinite order in the expansion. Within this formalism, it is possible to identify a classical analogue of radiative corrections to the particle's mass and spin due to spin-gravity interaction. The robustness of this approach is demonstrated by showing how to explicitly compute the first-order momentum and spin tensor components for arbitrary particle motion in a general space-time background. Potentially interesting applications based on this perturbation approach are outlined.

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confidence: 99%

An analytic perturbation approach for classical spinning particle dynamics

Singh

2008

Gen Relativ Gravit

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“…For example, spinning particles in gravitational [47] and electromagnetic fields [48] acquire a contribution to their momenta which is not parallel to velocity, while the canonical momentum of a charged particle generally does not even have a uniquely defined direction. Indeed, in some of the more 'natural' derivations of LAD [9,49,50], the troublesome Schott term (the derivative of acceleration) arises from taking the momentum to be p = m(ẋ−τẍ), which to a good approximation agrees with (2).…”

Section: Momentum and Velocitymentioning

confidence: 99%

Role of momentum and velocity for radiating electrons

et al. 2016

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This version is available at https://strathprints.strath.ac.uk/55486/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Strathprints administrator: strathprints@strath.ac.ukThe Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output. Radiation reaction remains one of the most fascinating open questions in electrodynamics. The development of multi-petawatt laser facilities capable of reaching extreme intensities has leant this topic a new urgency, and it is now more important than ever to properly understand it. Two models of radiation reaction, due to Landau and Lifshitz and to Sokolov, have gained prominence, but there has been little work exploring the relation between the two. We show that in the Sokolov theory electromagnetic fields induce a Lorentz transformation between momentum and velocity, which eliminates some of the counterintuitive results of Landau-Lifshitz. In particular, the Lorentz boost in a constant electric field causes the particle to lose electrostatic potential energy more rapidly than it otherwise would, explaining the long-standing mystery of how an electron can radiate while experience no radiation reaction force. These ideas are illustrated in examples of relevance to astrophysics and laser-particle interactions, where radiation reaction effects are particularly prominent.

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“…Then this arrangement can respond so as to divert the ring from a geodesic path via the second and third terms (the tidal term cannot do this). There is a connection here with Dixon's equations [7] (see also [8] for the dynamics of spinning particles in gravitational waves) as well as an analogy with electromagnetic effects [9]. The first term is analogous to an electric field; the second term a magnetic field due to the coupling between mass current and the field.…”

Section: A Relativistic String In Fermi Normal Coordinatesmentioning

confidence: 99%

How to lasso a plane gravitational wave

Bollada

2005

Gen Relativ Gravit

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Abstract. Beginning with the stress-energy tensor of an elastic string this paper derives a relativistic string and its form in a parallel transported Fermi frame including its reduction in the Newtonian limit to a Cosserat string. In a Fermi frame gravitational curvature is seen to induce three dominant relative acceleration terms dependent on: position, velocity and position, strain and position, respectively. An example of a string arranged in an axially flowing ring (a lasso) is shown to have a set of natural frequencies that can be parametrically excited by a monochromatic plane gravitational wave. The lasso also exhibits, in common with spinning particles, oscillation about geodesic motion in proportion to spin magnitude and wave amplitude when the spin axis lies in the gravitational wave front. Coordinate free notation is used throughout including the development of the properties of the Fermi frame.

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On the motion of spinning test particles in plane gravitational waves

Cited by 26 publications

References 19 publications

An analytic perturbation approach for classical spinning particle dynamics

An analytic perturbation approach for classical spinning particle dynamics

Role of momentum and velocity for radiating electrons

How to lasso a plane gravitational wave

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