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Scalar-tensor theory of gravitation with spin-scalar-torsion coupling

by: HH Soleng
Classical and Quantum Gravity, Vol. 5, No. 11. (1988), pp. 1489-1500.

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A scalar-tensor theory of gravitation with spin-torsion interaction is constructed. Gravitational phenomena are explained as being due to curvature and torsion of the spacetime manifold, which is itself represented by a Lyra manifold. The geometrical part of the gravitational Lagrangian is scale invariant. Matter contributions, however, break Lyra scale invariance. Associated with this broken gauge symmetry a Brans-Dicke scalar field emerges. For matter with zero spin the field equations of the new theory equal those of the Brans-Dicke theory. The Brans-Dicke parameter omega is calculated in terms of the coupling to torsion of the Lyra connection.


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