Speaker
Description
In this talk, I will present a derivation of the equations of motion for dynamical systems with angular momentum on Finsler geometries. While point-like particles without intrinsic angular momentum follow geodesics, angular momentum generally couples to spacetime curvature, causing deviations from geodesics. I will show how these equations can be derived from requiring diffeomorphism invariance of the energy-momentum distribution of the worldline of the particle, extending ideas of Mathisson and Souriau. This yields a Finsler generalization of the Mathisson-Papapetrou-Dixon (MPD) equations. I will discuss how spacetime symmetries lead to conserved quantities and explain that spin supplementary conditions are necessary to close the system, as in the standard MPD case. I will present common choices for these conditions and provide the final equations of motion in 3-dimensional space and 4-dimensional spacetime.
| Topic | Recent developments in differential geometry |
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