English

Dynamical torsion and torsion potential

General Relativity and Quantum Cosmology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.gr-qc/9603006,
  title  = {Dynamical torsion and torsion potential},
  author = {Hong-jun Xie and Takeshi Shirafuji},
  journal= {arXiv preprint arXiv:gr-qc/9603006},
  year   = {2007}
}

Comments

13 pages, LaTeX

R2 v1 2026-07-22T12:51:11.986Z