Derivation of Einstein–Cartan theory from general relativity

  title={Derivation of Einstein–Cartan theory from general relativity},
  author={Richard James Petti},
  journal={International Journal of Geometric Methods in Modern Physics},
  • R. Petti
  • Published 8 January 2013
  • Physics
  • International Journal of Geometric Methods in Modern Physics
This paper derives the elements of classical Einstein–Cartan theory (EC) from classical general relativity (GR) in two ways. (I) Derive discrete versions of torsion (translational holonomy) and the spin-torsion field equation of EC from one Kerr solution in GR. (II) Derive the field equations of EC as the continuum limit of a distribution of many Kerr masses in classical GR. The convergence computations employ “epsilon-delta” arguments, and are not as rigorous as convergence in Sobolev norm… 
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