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.
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PACS: 02.40.Hw, 04.20.Cv, 04.40.Nr
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Messios, N. Spinning Particles in Spacetimes with Torsion. Int J Theor Phys 46, 562–575 (2007). https://doi.org/10.1007/s10773-006-9146-8
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DOI: https://doi.org/10.1007/s10773-006-9146-8