The motion of a classical spinning particle in a Riemann-Cartan space-time.

Details The motion of a classical spinning particle in a Riemann-Cartan space-time. The motion of a classical spinning particle in a Riemann-Cartan space-time.

Jun 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..525a&link_type=abstract

General Relativity and Gravitation, Volume 17, Issue 6, pp.525-533

Physics

3

Gravitation Theory:Electromagnetic Fields

Scientific paper

A consistent set of equations of motion for classical charged particles with spin and magnetic dipole moment in a Riemann-Cartan space-time is generated from a constrained Lagrangian formalism. The equations avoid the spurious free helicoidal solutions and at the same time conserve the canonical condition of normalization of the 4-velocity. The 4-velocity and the mechanical moment are parallel in this theory, where the condition of orthogonality between spin and 4-velocity is treated as a nonholonomic constraint. A generalized BMT precession equation is obtained as one of the results of the formalism.

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