2017 journal article

Continuous body dynamics and the Mathisson-Papapetrou-Dixon equations

Phys.Rev.D, 95(4), 044025.

By: S. Loomis & J. Brown‚ÄČ

Source: ORCID
Added: November 4, 2021

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.