Tangent Euler Top in General Relativity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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12 pages; v2: references added, typos corrected, matches final published version; v3: misprint corrected; v4: sign error in

Scientific paper

10.1007/s00220-008-0475-8

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.

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