Autoparallels From a New Action Principle

Abstract

We present a simpler and more powerful version of the recently-discovered action principle for the motion of a spinless point particle in spacetimes with curvature and torsion. The surprising feature of the new principle is that an action involving only the metric can produce an equation of motion with a torsion force, thus changing geodesics to autoparallels. This additional torsion force arises from a noncommutativity of variations with parameter derivatives of the paths due to the closure failure of parallelograms in the presence of torsion

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References in corpus (5)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Nonholonomic Mapping Principle for Classical Mechanics in Spaces with Curvature and Torsion. New Covariant Conservation Law for Energy-Momentum Tensor
• Universality Principle for Orbital Angular Momentum and Spin in Gravity with Torsion
• New Action Principle for Classical Particle Trajectories in Spaces with Torsion
• Spontaneous Generation of Torsion Coupling of Electroweak Massive Gauge Bosons

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• Constraining spacetime torsion with the Moon and Mercury
• The Dislocation Stress Functions From the Double Curl T(3)-Gauge Equation: Linearity and a Look Beyond
• Constraining spacetime torsion with LAGEOS
• Universality Principle for Orbital Angular Momentum and Spin in Gravity with Torsion
• Constrained Systems and Analytical Mechanics in Spases with Torsion
• Auto-parallel equation as Euler-Lagrange's equation in spaces with affine connections and metrics
• Spinless Matter in Transposed-Equi-Affine Theory of Gravity
• (Non-)uniqueness of Einstein-Palatini Gravity
• Test particles behavior in the framework of a lagrangian geometric theory with propagating torsion