New Action Principle for Classical Particle Trajectories in Spaces with Torsion

Abstract

To comply with recent developments of path integrals in spaces with curvature and torsion we find the correct variational principle for the classical trajectories. Although the action depends only on the length, the trajectories are {\em autoparallels} rather than geodesics due to the effects of a new torsion force.

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References in corpus (2)

• Mathematical Structures of Space-Time
• The Singularity Problem for Space-Times with Torsion

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• Spontaneous Generation of Torsion Coupling of Electroweak Massive Gauge Bosons
• Spinless Matter in Transposed-Equi-Affine Theory of Gravity
• Dirac equation in non-Riemannian geometries