Tangent Euler Top in General Relativity
arXiv:gr-qc/0703081 · doi:10.1007/s00220-008-0475-8
Abstract
We define the tangent Euler top in General Relativity through a constrained Lagrangian on the orthonormal frame bundle. The corresponding motions are studied to various degrees of approximation, the lowest of which is shown to yield the Mathisson-Papapetrou equations.
12 pages; v2: references added, typos corrected, matches final published version; v3: misprint corrected; v4: sign error in Mathisson-Papapetrou equation corrected, comment added