Spin and torsion in general relativity: Foundations, and implications for astrophysics and cosmology
Abstract
A generalization of Einstein's (1915) general relativity due to Cartan (1922, 1923) Sciama (1962), and Kibble (1961) ESCK is reviewed, in its geometrical aspects and in its physical aspects. The foundations of the theory are examined from the point of view of local gauge invariance and the geometrical language of fibre bundle theory. It is shown that invariance under spacetime translations leads to Einstein's theory, and that local Lorentz invariance, which by itself leads to no satisfactory physical theory, can be related to the contortional degree of freedom in the RiemannCartan geometry of ECSK. For the physical theory simple solutions of the Dirac equation in Riemannflat spacetimes with torsion are examined. From this examination it was found that the gravitational spinspin interaction which distinguishes ECSK from general relativity is attractive between electrons, positrons, neutrinos, and antineutrinos whenever their spin polarizations are aligned. Cosmological models with torsion were studied for matter described as convective 'spinning dust' and for matter fields which solve the ECSKDirac equations.
 Publication:

Ph.D. Thesis
 Pub Date:
 1975
 Bibcode:
 1975PhDT.........9K
 Keywords:

 Astrophysics;
 Cosmology;
 Relativity;
 SpinOrbit Interactions;
 Antineutrinos;
 Astronomical Models;
 Dirac Equation;
 Einstein Equations;
 Electrons;
 Gauge Invariance;
 SpaceTime Functions;
 Astrophysics