Continuous body dynamics and the Mathisson-Papapetrou-Dixon equations
arXiv:1701.01545 · doi:10.1103/PhysRevD.95.044025
Abstract
We show that an effective particle Lagrangian yields the Mathisson-Papapetrou-Dixon (MPD) equations. The spin of the effective particle is defined without any reference to a fixed body frame or angular velocity variable. We then demonstrate that a continuous body, defined by a congruence of world lines and described by a general action, can be rewritten as an effective particle. We analyze the gauge freedom of the body and show that a natural center of mass condition is related to a spin supplementary condition.
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