Tangent Euler Top in General Relativity
General Relativity and Quantum Cosmology
2009-10-09 v4 Differential Geometry
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.gr-qc/0703081,
title = {Tangent Euler Top in General Relativity},
author = {Jose Natario},
journal= {arXiv preprint arXiv:gr-qc/0703081},
year = {2009}
}
Comments
12 pages; v2: references added, typos corrected, matches final published version; v3: misprint corrected; v4: sign error in Mathisson-Papapetrou equation corrected, comment added