Physics
Scientific paper
Jul 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..621c&link_type=abstract
General Relativity and Gravitation, vol. 9, July 1978, p. 621-635. Research supported by the Science Research Council.
Physics
5
Field Theory (Physics), Gravitational Fields, Spinor Groups, Dirac Equation, Formalism, Stress Tensors
Scientific paper
The classical theory of the interaction between a Majorana spinor (psi) describing a neutral spin-1/2 field and a gravitational field is studied. A vierbein and a local connection are used as independent field variables for the gravitational field, and a set of field equations for the interaction with psi is presented in first-order form. These equations are shown to provide a novel version of the first-order formalism, in which the global affinity comes out symmetric in mu and nu, and Einstein's equations with a conserved symmetric stress tensor on the right side emerge directly from the field equation of the vierbein. The manner in which a conserved symmetric stress tensor emerges is analyzed.
Coote C. T. N.
Macfarlane Alan J.
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