2004
DOI: 10.1016/j.physletb.2004.02.059
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World-line deviation and spinning particles

Abstract: A set of world-line deviation equations is derived in the framework of Mathisson-Papapetrou-Dixon description of pseudo-classical spinning particles. They generalize the geodesic deviation equations. We examine the resulting equations for particles moving in the space-time of a plane gravitational wave.Comment: 5 pages, no figures, to appear in Physics Letters

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Cited by 13 publications
(18 citation statements)
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“…where we have used the Lie transport condition (8) in the Riemann tensor definition and we have introduced a "strain tensor" [25] …”
Section: A World Line Deviation Equationmentioning
confidence: 99%
See 1 more Smart Citation
“…where we have used the Lie transport condition (8) in the Riemann tensor definition and we have introduced a "strain tensor" [25] …”
Section: A World Line Deviation Equationmentioning
confidence: 99%
“…Such an extension leading to a generalized world line deviation equation has been developed in Refs. [7,8]. However, the transport equation for the spin vector is not discussed at all there, which is instead the main focus of the present analysis.…”
Section: Introductionmentioning
confidence: 99%
“…The only exception that we know are inclusion of spin/internal-structure effects on geodesic deviations where the work of Anandan et al and Mohseni provide latest developments on the subject [4,5]. 2 See, Appendix for more details and brief interpretational remarks.…”
mentioning
confidence: 99%
“…5 is the conclusion. Things not looked at include: firstly, any derivation of relative motion equations by second variation of standard lagrangians, this has been done for strings [10], secondly, anything to do with spin, fermions, torsion, vector fields, or fluids, geodesic deviation has been generalized to include spin [7], thirdly, any study of gravitational waves [8], fourthly, any detailed investigation of the relationship between relative motion equations and field equations, fifthly, any application of the equations to specific configurations except maximal symmetry. For a lagrangian theory , with action I, the momentum and hessian are:…”
Section: Introductionmentioning
confidence: 99%