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.
REFERENCES
1.
D. W. Sciama, in Recent Developments in General Relativity (Pergamon, New York, 1962), p. 415.
2.
3.
4.
5.
6.
E.
Cartan
, 41
, 1
(1924
);E.
Cartan
, 42
, 17
(1925
).7.
8.
J. A. Schouten, Ricci‐Calculus (Springer‐Verlag, Berlin, 1954), 2nd ed.
9.
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Pergamon, New York, 1962), 2nd ed.
10.
E. M. Corson, Introduction to Tensors, Spinors, and Relativistic Wave Equations (Blackie, London, 1953).
11.
12.
13.
14.
15.
16.
17.
J. Wainwright, in Colloquium on the Calculus of Variations (University of South Africa, Pretoria, 1966), p. 98.
18.
19.
20.
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© 1971 The American Institute of Physics.
1971
The American Institute of Physics
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