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

Physics

Scientific paper

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Gravitation Theory, Scalars, Space-Time Functions, Spin, Tensor Analysis, Broken Symmetry, Field Theory (Physics), Lagrange Multipliers, Relativity

Scientific paper

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 space-time 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.

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