Nonlinear Spinor Equation and Asymmetric Connection in General Relativity
- 1 July 1971
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (7) , 1334-1339
- https://doi.org/10.1063/1.1665738
Abstract
In order to take full account of spin in general relativity, it is necessary to consider space‐time as a metric space with torsion, as was shown elsewhere. We treat a Dirac particle in such a space. The generalized Dirac equation turns out to be of a Heisenberg‐Pauli type. The nonlinear terms induced by torsion express a universal spin‐spin interaction of range zero.Keywords
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