Physics
Scientific paper
Jun 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6..785s&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, June 1, 1989, p. 785-795.
Physics
2
Einstein Equations, Field Theory (Physics), Gravitation Theory, Relativistic Theory, Space-Time Functions, Complex Numbers, Conservation Laws, Schwarzschild Metric, Torsion
Scientific paper
A geometric theory of gravitation with spin-torsion coupling is proposed. The theory could be interpreted either as general relativity based on a generalized affine connection, or alternatively as an algebraically extended general relativity over the algebra of hypercomplex numbers. According to the algebraically extended interpretation the torsion tensor must be totally antisymmetric. In this case we also have a geometric symmetry corresponding to spin-reversal invariance. The simplest Lagrangian density within this theory is that of the Einstein-Cartan theory, but where torsion is determined by an antisymmetric torsion potential. The conservation laws of the theory correspond to conservation of energy-momentum and spin-angular momentum.
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