Spin and Anholonomy in General Relativity

Details Spin and Anholonomy in General Relativity Spin and Anholonomy in General Relativity

2004-02-04

arxiv.org/abs/gr-qc/0402022v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Authors list corrected. Revtex4, 11 pages. Contribution to the volume "Roberto Salmeron Festschrift: A Master and Friend", edi

Scientific paper

In the general case, torsion couples to the spin current of the Dirac field. In General Relativity, the apparent torsion field to which the spin current of the Dirac field couples is a mere manifestation of the tetrad anholonomy. Seen from the tetrad frame itself, it has for components the anholonomy coefficients. The latter represent mechanical characteristics of the frame. In the teleparallel equivalent of General Relativity, this coefficient turns out to be the only torsion present.

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