Tangent Euler Top in General Relativity

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

References in corpus (4)

• The motion of point particles in curved spacetime
• Post-Newtonian corrections to the motion of spinning bodies in NRGR
• Equations of Motion for Spinning Particles in External\\Electromagnetic and Gravitational Fields
• Post Newtonian Rigid Body

Cited by in corpus (7)

• ADM canonical formalism for gravitating spinning objects
• Mathisson's helical motions for a spinning particle --- are they unphysical?
• Spacetime dynamics of spinning particles - exact electromagnetic analogies
• Highly relativistic circular orbits of spinning particle in the Kerr field
• Spin and quadrupole contributions to the motion of astrophysical binaries
• Highly relativistic spinning particle starting near $r_{ph}^{(-)}$ in a Kerr field
• Highly relativistic spin-gravity coupling for fermions