, Volume 46, Issue 3, pp 562-575

Spinning Particles in Spacetimes with Torsion

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Abstract

A novel analysis of the Mathisson-Papapetrou-Dixon equations is presented employing mathematical tools that do not rely on the torsion free geometries used in previous literature. A system of differential algebraic equations that can be used to describe the motion of spinning particles in an arbitrary geometry is derived. The curvature in these equations can involve non-Riemannian contributions. Subsequently, this particular system of equations can accommodate modification to geodesic motion from both scalar fields and the spin of the particle.

PACS: 02.40.Hw, 04.20.Cv, 04.40.Nr