2009/12/15 by Rolando Gaitan D., D., Rolando Gaitan, Juan C. Petit +3
Physics and Astronomy · #Advanced Differential Geometry Research #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.0912.2858
openalex publication_date 2009/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A comparison between the two possible variational principles for the study of a free falling spinless particle in a space-time with torsion is noted. It is well known that the autoparallel trajectories can be obtained from a variational principle based on a non-holonomic mapping, starting with the standard world-line action. In a contrast, we explore a world-line action with a modified metric, thinking about the old idea of contorsion (torsion) potentials. A fixed-ends variational principle can reproduce autoparallel trajectories without restrictions on space-time torsion. As an illustration we have considered a perturbative Weitzenbock space-time. The non-perturbative problem is stablished at the end.