Dynamical torsion and torsion potential

1996/03/06 by Hong-jun Xie, Takeshi Shirafuji, Xie, Hong-jun +1
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9603006

13 pages, LaTeX

arxiv created 1996/03/06 · openalex publication_date 1996/03/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a generalized tetrad which plays the role of a potential for torsion and makes torsion dynamic. Starting from the Einstein-Cartan action with torsion, we get two field equations, the Einstein equation and the torsion field equation by using the metric tensor and the torsion potential as independent variables; in the former equation the torsion potential plays the role of a matter field. We also discuss properties of local linear transformations of the torsion potential and give a simple example in which the torsion potential is described by a scalar field.

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