2007/03/31 by José Natário, Jose Natario · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Classical mechanics #Cosmology and Gravitation Theories #Euler's formula #General relativity #Geometry #Mathematical analysis #Mathematics #Orthonormal basis #Physics #Quantum mechanics #Relativity and Gravitational Theory #Tangent #Tangent bundle #Tangent space #Theory of relativity #Unit tangent bundle #gr-qc #math.DG #nlin.SI
paper · pdf · doi:10.1007/s00220-008-0475-8
published as Commun.Math.Phys.281:387-400,2008 · 12 pages; v2: references added, typos corrected, matches final published version; v3: misprint corrected; v4: sign error in Mathisson-Papapetrou equation corrected, comment added
openalex publication_date 2008/04/24 · arxiv created 2009/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.